Start your trial now! First week only $4.99!*arrow_forward*

Question

y(x) = x2e−2x +Ce−2x is the general solution of y0 +2y = 2xe−2x. If y is the solution which satisﬁes the initial condition y(0) = 2, then lim x→∞ y(x) =

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: #28 please

A: The given function of hyperbola can be written in terms of y as: Plugging this value in the objectiv...

Q: A) and B) please! I keep trying hahah.

A: To determine the correct choice from (A) and (B) by calculating the position function using antideri...

Q: Because a new employee must learn an assigned task, production will increase with time. Suppose that...

A: To find the number of units completed in t hours by the new employee, integrate the rate of performa...

Q: 150 100 50 20 40 60 3. Suppose that a population develops according to the logistic equation (c) Use...

A: Given that a population develops according to the logistic equation

Q: Fourier's Law of heat transfer (or heat conduction) states that the heat flow vector F at a point ...

A: Given that,

Q: Find the average value of the function over the region R. Please refer to picture.

A: The given function is f(x,y)=e-y in the interval x belongs to [0,8] and y belongs to [0,ln2]

Q: The growth of Mary's income is modelled using the continuous stream f(t)=3,000+0.05t2 where t is the...

A: Given:The growth of Mary’s income is represented by the continuous stream f(t)=3000+0.05t2.Here, t r...

Q: y′=−2ex −2x2 +3x+6 y(0)=5 Solve the initial value problem above. Do not include "y=" in your answer.

A: Given that y′ = -2ex -2x2 +3x +6; y(0) = 5.That is dy/dx = -2ex -2x2 +3x +6.dy =( -2ex -2x2 +3x +6...

Q: Use the graph off and f' to find the critical points and inflection points of f, the intervals on wh...

A: Finding the critical point

Q: Activity 4 the Derivative of Inverse Trigonometric Functions 9. Without technology find the derivati...

A: The given functions are y = sin–1(4x), y = cos–1(lnx), y = tan–1(e2x), y = x(sin-1(x))2.

Q: If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions?...

A: we are given a differential equation as

Q: How can I get the result? Which is the result?

A: We have to find limits.Question is given below:

Q: A three times differentiable function fwith f'(x) 0 has a D-derivative at x given 2 f'"(x) 3(f"(x) D...

A: We’ll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: 2x 1 dx 3 (2x-1+C 6 C 2 x2-x C 3x

A: Given:The integral is

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in ...

A: Let the polar coordinates of given point are ( rcos(thita), rsin(thita)) as shown on board.By compar...

Q: Determine the interval(s) on which the following function is continuous, then analyze the given limi...

A: (2+2cosx) and sinx both are continuous functions. So the function (2+2cos x)/sinx will be discontinu...

Q: Show that f(x, y) = ln(x2 + y2) solves Laplace's equation, ∂2z ∂x2 + ∂2z ∂y2 = 0...

A: Given Laplace’s equation is

Q: please explain how to solve this

A: (a)We are given graphand we can locate upper and lower curves on different regions

Q: A car is traveling at a rate of 23 kilometers per hour when t=7 hours. The acceleration of the car i...

A: To calculate the velocity from the given data

Q: How can I get the result? Which is the result?

A: The given functions are,

Q: a) and b) please

A: Part (a)The population of the town in 2016 is 63,000 and the growth rate is 2.3% per year.

Q: How can I get the result? Which is the result?

A: We have to find value of cosy.Question is given below:

Q: Evaluate the integral. Please refer to image.

A: Obtain curl F as follows.

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: The given interval is [-1,1] and the function is,

Q: graph quadratic function f(x) = -3x2- 12x -1

A: Consider the given equation

Q: Use logarithmic differentiaion to evaluate f`(x) f(x) = (5x)^(ln 5x)

A: Click to see the answer

Q: Find the derivative of y with respect to x.

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

Q: This is #1

A: Part (a)Consider an object moving along a line with the velocity and initial position.

Q: please show ALL your steps

A: we are given a function

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: If a cup of coffee has temperature 95°C in a room where the temperature is 20°C, then, according to ...

A: The equation for the temperature of the coffee after t minutes is,

Q: How do I show the correct solution for the differential equation? I know the answer is D.

A: First we separate the variables

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R i...

A: The given curves are y=x, y=4x, y=16.The graph of the region formed by these curves is,

Q: How do you solve the limit of this graph?

A: x->-1^- means x is slightly less than -1.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.

A: The given series is

Q: Calculate the area, in square units, bounded above by f(x)=−2x2 −x−21 and below by g(x)=−x2 −12x+9.

A: Click to see the answer

Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second squ...

A: To determine the velocity from the given conditions

Q: b) and c) I tried doing it the same way I did the first one...

A: we are given rate functions as

Q: Answers for 10-12

A: We will solve Q-10

Q: Find the derivative of y with respect to x.

A: Given:The function

Q: A hot-air balloon is 190 ftabove the ground when a motorcycle (traveling in a straight line on a h...

A: Let x be the horizontal distance from balloon to motorcycle, y be the vertical distance from the bal...

Q: please explain how to solve this problem

A: Consider x be the number of times the price is reduced by $0.05.

Q: Find all real values of x such that f(x)=0 F(x)= 18 - x^2/2 But then it asks me: Set the function eq...

A: The function is

Q: The problem and graph are imbedded in the image.

A: Given information:An arch is 645cft high and has a 600ft base. It can be modeled by the parabola

Q: Which of the following is the power series representation for f(10x)? O A. B. 10k co (1-(10x*) In k ...

A: The power series representation for f(10x) is,

Q: Given the marginal cost function C’(x) = 3x2 – 6x, find the cost to produce x items if the fixed cos...

A: We are given marginal cost

Q: Given f(x) = x^5 + x^3 - 4 , find the derivative of f inverse at the point (-2,1).

A: We are given a function as

Q: a. Write the equation of the line that represents the linear approximation to the following function...

A: We have to find f'(x) first.

Q: 3. (4.6) A rectangular flower garden with an area of 30 m2 is surrounded by a grass border 1 m wide ...

A: Given information:A rectangular flower garden with an area of 30 m^2 is surrounded by a grass border...

Q: A particle travels clockwise on a circular path of diameter R, monitored by a sensor on the circle ...

A: Before we get into the question, please recall the theorem that: An angle in a semi circle is always...