) Let w = xe/z, where x =t², y = 1-t, and z = 1+ 2t. Use the chain rule to dz find . (Write your answer as a function of t only.) dt

Q: 23 Estimate I = (3x + 6x2)dx using midpoints and n 3 subintervals. %3D

A:

Q: 3. sin x cos y dx + cos x sin y dy

A:

Q: Using an appropriate substitution, cos x-sin x the integral Jo cosx+sin x dx equals: 0 cosx+sinx 1 -...

A:

Q: Find the global minimum of the function f (x) = 1+x² on the interval [1, 10] . Write DNE is there is...

A:

Q: MAXIMA and MINIMA Problems Solve the following problems below. 1. A function is given below, what x ...

A:

Q: An unknown radioactive element decays into non-radioactive substances. In 920 days the radioactivity...

A:

Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

A:

Q: Use integration by parts to evaluate the integral:

A:

Q: Show solution. 1. Below is the graph of f(x) = |x]. Using the right side of the function with the eq...

A: The given function,   y=x

Q: Which of the following best describes the function below? S (x) ={** if.rso |-r² if 0 <.x A. Continu...

A: To find out the correct statement. 

Q: 1+ 2t Find the laplace transform of (i).

A: Laplace transformation.

Q: From the following results, determine whether the function 2x +9, r 9 f(x) = 6. is continuous at = ...

A: Solve for the continuity for the function

Q: Given f (x)=sec.r-/2 tan .x , find f'(:).

A:

Q: second

A: We have to draw the graph of the given function

Q: DO NOT include spaces in between characters. Type your answers in the following order and format: a=...

A: Given query is to find the value of a and b.

Q: functions

A: We have to choose the correct option according to the given options

Q: for power substitution method, next step is For S dx xp: 4u³dx 4u³dx 1+ u* 1+ (u*)ã Option 1 Option ...

A: Find your answer below 

Q: Using an appropriate substitution, 3 the integral S dx equals: V1-4(x-1)2 3 sin-1(2x – 2) + C sin-1(...

A: We can find the integration as below using proper substitution.

Q: 3. Tignometic Substiuion

A:

Q: Determine whether r{(1+E)*"}.. Converges or diverges.

A:

Q: 9. Estimate I 3. (4x? + 4x + 1) dæ using n 3 subintervals, and (a) Left endpoints. (b) Right endpoin...

A:

Q: dy Find using implicit differentiation, for the equation x + y³ = 9 is. dx

A:

Q: 15-20 1 Solve the initial-value problem. 15. x²y' + 2xy = In x, y(1) = 2

A:

Q: xp, 10. S

A: ∫ 7e-xdx/ex ∫ 7dx/e2x ∫7e-2xdx 7e-2x/(-2) +c -7e-2x/2 +c  

Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x+ In|x² + 1| + C - x cot-1...

A: Given problem:- Using integration by parts solve 2∫ cot-1(x) dx 

Q: Participation Activity #8 This is similar to Try It #3 in the OpenStax text. Find the exact value of...

A: see below the answer and figure

Q: S cos?x-ex

A:

Q: DO NOT include spaces in between characters. * Find an equation of the tangent line to the graph of ...

A: Given query is to find the equation of the tangent.

Q: The graph shown below is fx) = -(x - 1)2 + 5. What is the integral function g(x) that defines the ar...

A:

Q: A company knows that the unit cost C and the unit revenue R from the production and sale of x units ...

A: Rate of change of unit cost is given as $9 /unit. Unit revenue=$2000 We will find the rate of change...

Q: Show solution. 1. Below is the graph of f(x) = |x|. Using the left side of the function with the equ...

A: Given problem:-

Q: The derivative of the function y = log2(In(x)) is:

A: We can find the correct answer as below.

Q: for power substitution method, next step is * 2+E dz 6 – 5(u²)2 + u² , -(2udu) 4 – u² r6 – 5u² + u² ...

A:

Q: Evaluate the following integral sin(2z) dr.

A: Given query is to find the value of the integration.

Q: https://www.webassign.net/cgi-perl/symimage.cgi?expr=n%20%3D%20f%28t%29%20%3D%20a%2F%281%2Bbe%5E%28-...

A:

Q: DO NOT include spaces in between characters. TYpe your answers in the following order and format: a=...

A:

Q: Which of the following functions form a particular solution of the differential equation y"+y = sinx...

A:

Q: Find the values of a and b if the tangent to y = ax² + bx at (1,5) has a slope of 8.

A: We can find the value of a and b as below

Q: Which integral would represent the area shown below? The function is f(x) = 2x + 2. 8 6 4- 2- 0.5 1 ...

A:

Q: Using integration by parts, the integral Vx In x dx equals:

A: Given ∫1ex lnx dx To evaluate integral using by parts rule

Q: 2. Express in indicated derivative in terms of the function F(r). Assume that F is differentiable. D...

A:

Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

Q: - Credit Card Delinquency Rate The credit card delinquency rate stood at 5.7% at the beginning of 20...

A:

Q: Find F' () if F(x) = 2 cos¯1 Vx.

A: To find out the F'(1/2) 

Q: Sa² -6x +1, a < 6 7-x, x26 Evaluate the following limits for h(x): and Justify your answer. (i) lim ...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Partial Derivative Let w = exz sin(yz) – ev²cos (xz) Find wx. %3D - Higher Derivatives Let z = (x – ...

A:

Q: Determine the Riemann sum that represents the illustration below. The function is lx) = 2x. Y 6. 4- ...

A: Explanation of the answer is as follows

Q: = sec.x-/2 tan .x , find f' (=). %3D

A:

Q: A potato is launched vertically upward with an initial velocity of 124 ft/s from a potato gun at the...

A: Initial velocity is given as 124 ft/sec and the distance is given as function of time s(t). We will ...