Problem Statement: Engineering Economics Resale Price Problem Solving An engineer wants to start a business which requires purchase of Php 100,000 worth machine which will produce a net inco… Read More

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Problem Statement: Differential Calculus Maxima Minima Problem Solving Compute the radius of curvature of the curve x = 2y3 – 3y2 at (4, 2). A. -99.38 B. -97.15 C. -95.11 D. -84.62 Pro… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Find the radius of curvature of the curve y = 2x3 + 3x2 at (1, 5). A. 90 B. 84 C. 95 D. 97 Problem Answer: The radius o… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Y = x3 – 3x. Find the maximum value of y. A. 2 B. 1 C. 0 D. 3 Problem Answer: The maximum value of y is equal to… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A particle moves on the xy plane according to the equations: x(t) = t^3 + 2t^2 + 4 y(t) = t^2 – 3. Which of the f… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A vehicle moves along a trajectory having coordinates given as x = t3 and y = 1 – t2. The acceleration of the veh… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A particle moves along a path whose parametric equations are x = t3 and y = 2t2 . What is the acceleration when t = 3 s… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Find the radius of curvature of a parabola y2 – 4x = 0 at point (4, 4). A. 25.78 B. 22.36 C. 20.33 D. 15.42 Probl… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A rectangular box having a square base and open at the top is to have a capacity of 16823 cc. Find the height of the bo… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Find the point of inflection of the curve y = x3 – 3x2 + 6. A. (0, 2) B. (1,3) C. (1, 4) D. (2, 1) Problem Answer… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving An open top rectangular tank with square bases is to have a volume of 10 cubic meters. The material for its bottom cost… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Two sides of a triangle are 30 cm and 40 cm respectively. How fast is the area of the triangle increasing if the angle… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A landscape light at ground level lights up the side of a tall building that is 15 feet from the light. A 6 ft. tall ma… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A man 6 ft. tall is walking toward a building at the rate of 5 ft/sec. If there is a light on the ground 50 ft. from th… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A particle moves in a plane according to the parametric equations of motions: x = t2, y = t3. Find the magnitude of the… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The acceleration of the particle is given by a = 2 + 12t in m/s2 where t is the time in minutes. If the velocity of thi… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The hypotenuse of a right triangle is 20 cm. What is the maximum possible area of the triangle in square centimeters? A… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. How fast is the volume changing… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving At what rate is the volume of a sphere changing at the instant when the surface area is increasing at the rate of 4 squ… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The volume of the sphere is increasing at the rate of 6 cm^3/hr. At what rate is its surface area increasing when the r… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A machine is rolling a metal cylinder under pressure. The radius of the cylinder is decreasing at a constant rate of 0… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving In manufacturing and selling “x” units of a certain commodity, the selling price per unit is P = 5 –… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A company estimates that it can sell 1000 units per week if it sets the unit price at P3.00, but it’s weekly sale… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A student club on a college campus charges annual membership dues of P10, less 5 centavos for each member over 60. How… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving If x units of a certain item are manufactured, each unit can be sold for 200 – 0.01x pesos. How many units can be… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 cm. wide by turning up one th… Read More

Problem Statement: Transmission and Antenna Systems Antenna Problem Solving What is the beamwidth of a symmetrical pattern antenna with a gain of 30 dB as compared to an isotropic radiator?… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A poster must have 32 sq. in. of printed matter with margins of 4” each at the top and 2” at each side. Fin… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A New York City marketing company wants to create a rectangular billboard with a total area of 16 square meters. The de… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A piece of plywood for a billboard has an area of 24 sq. feet. The margins at the top and bottom are 9 inches and at th… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A manufacturer estimates that the cost of production of “x” units of a certain item is C = 40x – 0.02… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The demand equation for a product is given by P + 2x^2 = 2800, where P is the price in dollars and x is the demand. The… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A certain spare parts has a selling price of P150 if they would sell 8000 units per month. If for every P1.00 increase… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The highway department is planning to build a picnic area for motorist along a major highway. It is to be rectangular w… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A rectangular lot has an area of 1600 sq. m. find the least amount of fence that could be used to enclose the area. A… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A manufacturer has determined that the total cost C of operating a factory is C = 5x^2 + 65x + 2000, where x is the num… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The total cost of producing a type of truck is given by C(x) = 10000 – 20x + 0.04x^2, where x is the number of tr… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A car manufacturer estimated that the cost of production of “x” cars of a certain model is C = 2Ox + 0.05x^… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The edges of a rectangular box are to be reinforced with narrow metal strips. If the box will have a volume of 8 cubic… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Divide the number 60 into two parts so that the product P of one part and the square of the other is the maximum. Find… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A closed rectangular box has volume 24 cm^3? What are the lengths of the edges giving the minimum surface area? A. 2.88… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Find two numbers whose sum is 20, if the product of one by the cube of another is to be the maximum. A. 4 and 16 B. 10… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving For an closed cylinder with radius r cm and height h cm; find the dimensions giving the minimum surface area; given tha… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A closed cylindrical tank having a volume of 71.57 cu. m. is to be constructed. If the surface area is to be minimum, w… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A wall 2.245 m high, is “x” meters away from a building. The shortest ladder that can reach the building wi… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A closed rectangular tank with a square base and with capacity of 48 cu.m. is to be constructed. The material for the t… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving An open top rectangular tank with square bases is to have a volume of 10 cubic meters. The material for its bottom cost… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Two vertices of a rectangle are on the x axis. The other two vertices are on the lines whose equations are y = 2x and 3… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Two vertices of a rectangle are on the x axis. The other two vertices are on the lines whose equations are y = 2x and 3… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Two vertices of a rectangle are on the x axis. The other two vertices are on the lines whose equations are y = 2x and 3… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving What is the maximum length of the perimeter if the hypotenuse of a right triangle is 5 m long? A. 12.08 m B. 15.09 m C… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving With only 381.7 square meter of materials, a closed cylindrical tank of maximum volume. What is to be the height of the… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving If the hypotenuse of a right triangle is known, what is the ratio of the base and the altitude of the right triangle wh… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A certain travel agency offered a tour that will cost each person P 1500.00. If not more than 150 persons will join, ho… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A school sponsored trip will cost each student 15 pesos if not more than 150 students make the trip. However, the cost… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Find the dimensions of a closed rectangular box with square base and volume 1000 in. that can be constructed with the l… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Find the dimensions of the closed rectangular box with square base and volume 8000 cubic centimeters that can be constr… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A box with a square base and open top must have a volume of 32,000 cm^3. Find the dimensions of the box that minimize t… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A rectangular box with square base and open at the top is to have a capacity of 16823 cu.cm. Find the height of the box… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving An open cylindrical tank has a capacity of 576.56 m^3. Find the radius of the tank for surface area to be minimum. A. 5… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A closed cylindrical tank has a capacity of 576.56 cubic meters. Find the minimum surface area of the tank. A. 218.60 s… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A box with a square base and open top must have a volume of 1,000 ft^3. Find the dimensions of the box that minimize th… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The sum of two numbers is 12. Find the minimum value of the sum of their cubes. A. 644 B. 432 C. 346 D. 244 Problem Ans… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A printed page must contain 60 sq.m. of printed material. There are to be margins of 5 cm. on either side and the margi… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A Norman window is in the shape of a rectangle surmounted by a semi-circle. What is the ratio of the width of the recta… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A field next to a building needs to be enclosed by a fence. A total of 500 feet of fencing is available with the buildi… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A rectangular field is to be fenced into four equal parts. What is the size of the largest field that can be fenced thi… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A rectangular field is to be enclosed by a fence and divided into three lots by fences parallel to one of the sides. Fi… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A rectangular field, bounded on one side by a building, is to be fenced on the other three sides using a total of 1500… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A boatman is at A, which is 4.5 km from the nearest point B on a straight shore BM. He wishes to reach, in minimum time… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The shortest distance between the line y – x = 1 and the curve x = y2 is A. 3√2/8 B. 2√3/8 C. 3&radic… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The shortest distance from the point (5, 10) to the curve x2 = 12y is: A. 4.331 B. 3.474 C. 5.127 D. 6.445 Problem Answ… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the int… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Find the area of the largest rectangle that can be inscribed in a right triangle with the legs of lengths 4 cm and 6 cm… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Find the area of the largest square that can be inscribed in the triangle with legs 20 cm and 30 cm. A. 132 square cent… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Find the largest possible area of a right triangle whose hypotenuse is 20 cm long. A. 200 square centimeters B. 100 squ… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving An iron bar 30 m long is bent to form a closed plane area. What is the largest AREA possible? A. 31.831 B. 31,183 C. 71… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving An iron bar 20 m long is bent to form a closed plane area. What is the largest area possible? A. 21.56 square meter B… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A statue 3 m high is standing on a base of 4 m high. If an observer’s eye is 1.5 m above the ground, how far shou… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B being 15 km east of A… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A certain travel agency offered a tour that will cost each person P 1500.00 if not more than 150 persons will join, how… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The sum of two numbers is 36. Find the numbers if the sum of their squares is minimum. A. 36 and 18 B. 18 and 24 C. 18… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving If y = x to the 3rd power – 3x. find the maximum value of y. A. 0 B. -1 C. 1 D. 2 Problem Answer: The maximum val… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Given the following profit-versus-production function for a certain commodity: P = 200000 – x – ^8 Where P… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Divide 150 into two parts so that product of one and the square of the other is maximum. Find the numbers. A. 100 &… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving Divide 120 into two parts so that product of one and the square of the other is maximum. Find the numbers. A. 60 &… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The cost C of a product is a function of the quantity x of the product is given by the relation: C(x) = x^2 – 400… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving A function is given below, what x value maximizes y? y^2 + y + x^2 – 2x = 5 A. 2.23 B. -1 C. 5 D. 1 Problem Answe… Read More

Problem Statement: Differential Calculus Maxima Minima Problem Solving The number of newspaper copies distributed is given by C = 50t^2 – 200t + 10000, where t is in years. Find the mi… Read More

Problem Statement: Physics for Engineers Impulse and Momentum Problem Solving A 15 kg sphere having an initial velocity of 48 m/s along a frictionless horizontal surface collides with a 28 k… Read More

Problem Statement: Physics for Engineers Impulse and Momentum Problem Solving Two balls roll toward each other. The red ball has a mass of 0.5 kg and a speed of 4 m/s just before impact. The… Read More

Problem Statement: Physics for Engineers Impulse and Momentum Problem Solving A golfer strikes a golf ball of mass 0.05 kg, and the time of impact between the golf club and the ball is 1 ms… Read More

Problem Statement: Physics for Engineers Energy Problem Solving A 20-kg block is stationary at the top of a 100-m high hill. It slides down a smooth surface to the ground, then climbs up ano… Read More

Problem Statement: Physics for Engineers Energy Problem Solving A rock is dropped off a cliff and strikes the ground with an impact velocity of 30 m/s. How high was the cliff? A. 45 m B. 30… Read More

Problem Statement: Physics for Engineers Period Problem Solving A satellite with a mass of 150 kg is in a circular orbit around a planet with a mass of 1.5 x 10^26 kg. The radius of the plan… Read More

Problem Statement: Physics for Engineers Tension of the String Problem Solving A 0.3-kilogram mass attached to a 1.5-meter-long string is whirled around a horizontal circle at a speed of 6 m… Read More

Problem Statement: Physics for Engineers Acceleration Problem Solving A particle which moves in two-dimensional motion has coordinates given in inches by x = 12 – 4t + 20 and y = 3sin(… Read More

Problem Statement: Physics for Engineers Acceleration Problem Solving A particle moving in the xy-plane has velocity components dx/dt = 6 + 2t and dy/dt = 4 + t where x and y are measured in… Read More

Problem Statement: Electronic Systems and Design Unijunction Transistor Problem Solving The intrinsic-standoff ratio for UJT is determined to be 0.7. If the interbase resistance is 10 KOhms… Read More

Problem Statement: Electronic Systems and Design Thyristors: PUT Problem Solving What is the breakover voltage of a PUT if the anode gate is connected across a voltage divider circuit with 1… Read More