Question

Asked Jul 28, 2019

12 views

Find the average value of the function f(x) = e^{-4x} on the interval [0, 1/2 ]

Step 1

*Given:*

The function is f(x) = e^{−4x} .

*Definition used:*

The average value of a function f(x) on the interval [a, b] is

Step 2

*Calculation:*

From the given, the value of *a *and* b* is 0 and 1/2, respectively.

Compute the average value of the given function on [0,1/2] as follows.

Substitute a = 0 and b = 1/2 in equation (1).

Step 3

Let u = −4x, then du = −4dx and so...

Tagged in

Q: I need help for this.

A: (a) Use the ratio test and compute the interval of convergence as follows.

Q: Hello, I need help understanding how to form a general formula, using f(x)=5 tan x, for all the sol...

A: Consider the provided function.

Q: Determine if y=e−x+8x−9 is a solution to the initial value problem given by y′+1=8x−y and y(0)=−8.

A: The given differential equation is y′+1=8x−y.The solution of the deferential equation is given as, y...

Q: Help please..

A: The general Taylor series for ex at x = 0 is as follows.

Q: Help with #9

A: For a given curve r(t), the tangential component aT and the normal component aN are given by express...

Q: Determine the following indefinite integral. 324 dx, x> In 18 A dx 324- e2x Type an exact answer. Us...

A: The given integral is,

Q: 5. (4.9) A particle is moving with the given data. Find the position function of the particle: at)si...

A: Acceleration function is given as a(t) = sin(t) + 3cos(t).Integrate the acceleration function to get...

Q: Decide which integral of the Divergence Theorem to use and compute the outward flux of the vector fi...

A: From the Divergence theorem, for a positively oriented boundary surface (outward Normal) of region E...

Q: 21 If fx)3then f(x) O 2x-2-1 3x 2x-3r2-3 3x O 2x-3x2-3 6x 2x 3x+2 O 2x-x2-1

A: Find the derivative of the given function.