First make a substitution and then use integration by parts to evaluate the integral 9x³e*´ dx Note: Use an upper-case "C" for the constant of integration.

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: a. Calculate the value of the slope of Y = - 2 X4 + x -3- 2X -2 + 5 at X = -2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Suppose f(x,y) = sin-' (6 – 2x2 – y²) and g(x,y) = 4x2 – y2. Determine the continuity of the functio...

A:

Q: 6 If a particle's position is given by r (t) =<t,22 COst, sint7 find the velocit acceleration and sp...

A:

Q: 3) f(x) — -3x* -18х +10, (a) Find f '(x) (Useformula) (b)Find the slope of the tangent line at x =

A: We can find both the answer as below.

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

A: NOTE: Refresh your page if you can't see any equations. . x=number of rooms y=price per room from th...

Q: Find the derivative of the function. g(x) = log,(x) g'(x) =

A:

Q: Let z= f(x,y) = ln(x^2 +y^3), x=se^t sin(s), y= se^tcos(t). find \partial z / \partial s and find \...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: 25. Evaluate the following definite integral 10 a) S" V5x – 1 dx b) Sz sin 2x dx

A:

Q: 1. (a) State the Intermediate Value Theorem (IVT). (b) Show that the equation r+3r +1 0 has at least...

A: Let f be a polynomial function. The IVT states that if f(a) and f(b) have opposite signs then there ...

Q: In this question we will find a recursive formula for the integral In = | (In a)" dr. (a) Find I1 an...

A:

Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is giv...

A:

Q: Sand falls from an overhead bin and accumulates in a conical pile with a radius that is always three...

A:

Q: Find what value of c does L dx = 1 ? x4 Answer:

A:

Q: Determine whether the alternating series converges. 00 5ln k k k=3 O The series diverges. O The seri...

A: On solving this series we will get

Q: for an equivalence relation R on A, both sets, the class of equivalence classes of R —A/R— is a set.

A:

Q: Question 5 In 1999, the population of Richmond-Petersburg, Virginia, metropolitan area, was 961,400 ...

A:

Q: Let z = 3+2i and w = 4 – i. Evaluate (a) z + w (b) z – w (c) (d) z/w (c) z•· W

A:

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...

A: We will use the give solution as we are instructed.

Q: Question 1 For each improper integral below, show that it diverges or find its value. (a) | Va In z ...

A: in multiple question we are allowed to answer only first three sub parts of question.

Q: 2. Graph the following functions for one period. And show (or specify) the intercepts and asymptotes...

A: Curve sketching and x-intercept and Asymptote.

Q: Determine the maximum curvature for the graph of ​f(x)=5ln(8x).

A:

Q: The sides of a square increase in length at a rate of am/s. At what rate is the larea of the square ...

A: Area of square with side 's' isA=s2Differentiate with respect to xdAdt=2sdsdt Substitute dsdt=2, s=1...

Q: 3. Determine whether or not each equation is a function. Justify your answers. a) y =- 2x + 5 b) x? ...

A:

Q: Find the derivative of the trigonometric function. y = cos(4x) Need Help? Read It Watch It

A:

Q: cos x tan x a) lim x→0 2x (x2 b) lim sin(x-) 4 x- 4

A:

Q: Use logarithmic differentiation to find the derivative of the function y = 8z"(=), wherer (x) = 5x. ...

A:

Q: Let f (2) = 2 22 +6 x + 5 . We will use the definition of derivative to find the deivative of f (æ)

A:

Q: x³ +2x .3 dx x2+1

A:

Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard ...

A: Topic = Integration

Q: Evaluate the integral. | sec (3x +2) dx sec (3x + 2) dx =

A: Let 3x+2 = t

Q: Find the volume of the solid obtained by rotating the region bounded by y = 6x, x = 1, and y 0, abou...

A:

Q: f(x) = -x + 1lx? – 28 %3D

A: We have the function                                   f(x)=-x4+11x2-28 then  Solution (a): Use the ...

Q: Prove the identity It tanh(x) tanh (x), 2x

A:

Q: Test the series below for convergence using the Ratio Test. 00 n5 0.8" n=1 The limit of the ratio te...

A:

Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

A:

Q: Find the Taylor series of f(x) 1 1 centered at c = 7. Choose the Taylor series. 1 %3D 1 . 6" n=0 00 ...

A:

Q: The speed of the traffic flowing past a certain downtown exit between the hours of 1:00 P.M. and 7:0...

A:

Q: ve f (cot x + tan x) dx then evaluate the an

A:

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 12,500 – 325p...

A:

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

A:

Q: Find the limit of the function along the path y = 0. X-m lim (х.у) - (0,0) у -п C. -" 772 772 A. 0 В...

A:

Q: The quantity of supply and demand for Vince Ferguson Bobbleheads is related by the supply equation,?...

A:

Q: x³+2x 1. dx x2+1

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: 3. Consider the function f (x) = x³ +5. Find a formula for the inverse function. Show clear, organiz...

A:

Q: Find the derivative of the function. 7 x - 3 y'(x) = Need Help? Read It

A:

Q: Test the series below for convergence using the Ratio Test. n+5 Σ 4n +4 n=1' The limit of the ratio ...

A:

Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is giv...

A: