(9) Determine whether the improper integral converges or diverges. Evaluate the integral if it converges. (a) foo (b) f L. (c) -∞ dx 16+ 25x² x dx 1+x² x²e² dx (d) [ 2² (e) x²e-³ dx dx x(lnx) 2022 dx 9 - x² (h) ( dx /9 - x² dx √9-x x² ln x dx S²:

Q: 1. Evaluate the following integrals: 5/2 d. S3 1 1/2 2 2x -x -dx

A: The integral is  ∫1/25/2 12x3-x2dx

Q: Answer the following questions for the​ price-demand equation.   p+0.002x=50   Question content area…

A:

Q: If y = (3x+8)x, compute y'(1). y'(1) = X

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The Product rule:…

Q: 6. Find the polar coordinates if (x, y) = (-√3, 1), r≥ 0, -2π <0 ≤0 (a) (2,117) (2,117) (b) (d)…

A:

Q: Given f(x, y) = 9x¹y - 9xy. Compute: 2² f əx² 0² f dy²

A:

Q: Find the area under y = x(e)^(-x)^(2) for x > 1

A: The given curve y=xe-x2 We have to find the area under the curve for x&gt;1.

Q: = SCADX (40x e**²-5) dx 1. S[(GN=51) 10 Jax = log2 (OXP²41) 6X 7- ² 105_ [ [10CC (1014 4X²-5 8. 5 e…

A: Note:  As per our guidelines we are restricted to solve more than 3 subparts of a problem.…

Q: The matrices A and B are given by and C = BA. Give the value of c 2,1. a) 06 b) O-1 c) 00 d) 08 e)…

A:

Q: 5 decimal places. The two triangles are similar. 8 4 5

A:

Q: Consider the solid obtained by rotating the region bounded by the given curves about the line x = 3.…

A: figure:-

Q: Evaluate the integral 9 3 12 SS S 00 4y 9 3 12 SSS 0 0 4y (Type an exact answer.) 3 cos (x²) 4√2 3…

A:

Q: 2. Suppose that f(1) = 2, f(4) = 7, f '(1) = 5, f '(4) = 3, and f" is continuous. Find the value of…

A:

Q: Find the extreme values of the function and where they occur. None O Minimum value is at x = e¹/4;…

A: To find the extrem values of the following function and to determine where they occur.y=lnxx4

Q: Problem 1. 1 (a) 100 2²2² + +9 dx Explain why each of the following integrals is improper. 4 1 (b) ²…

A:

Q: 5e 42 sin(y), find a unit tangent vector to the level curve at the point component. Present your…

A: The function is  f(x, y)=-5e-4xsin(y)

Q: Remove arbitrary constant in the given relation. x = sin (w t + ß); w - parameter, not to be removed

A:

Q: Let F(x, y) = (x + y, x²), and let 7(t) be the parameterization of the line segment from (0, 4) to…

A:

Q: M [=u n n! n

A: LK

Q: Use the Quotient Rule to compute: ਹੈ y dy y+5æ

A: By Quotient Rule ∂∂xuv=v∂u∂x-u∂v∂v2

Q: A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each…

A: *Note :- As per the rules, only first question solved. Kindly repost remaining questions separately.

Q: Consider the following. 4 + e¹- 4x = 25 (a) Find the exact solution of the exponential equation in…

A: To solve the given exponential equation

Q: f(x) = -5x x

A:

Q: 1. Given the function f(x) = C. f'(x) = 2 for all x. (2x -1, x ≤ 1 x², x > 1 A. f is continuous and…

A: Given function:- fx=2x-1x≤1x2x≥1

Q: 9).For which p does the series ∞     n = 1 4pn 5nconverge? p <__-   please show step by step…

A: We can check for what value of 'p' series is convergent .

Q: -8 31.sec (x-y) if csc x=513 and kay="1/5

A: We know, sec(x-y)=1+secxsecytanxtany

Q: Use l'Hopital's rule to find the limit. 7-7cos@ lim 0-0 sin 50 O 07/3 75 8 Previous

A:

Q: 7. (a) Let f(x) = 5x5 + x¹ − 2x³ – 1. Explain why f is continuous on (-∞, ∞). (b) Show that f(x) has…

A: We know a polynomial function is continuous in the whole real number plane. If f(x) be a continuous…

Q: 4 3 2 1 04 -1 -2 -3 -4 -5 -6 -7 -8 -1 V 0 2 3 4 Velocity vs. Time 1 t 5 6 he velocity graph…

A: To solve the problem from the corresponding graph.

Q: = (-₁,3/-) ₁ a. Use the following definition of the slope of the tangent line at x = a to find the…

A:

Q: Solve the equation. (Enter your answers as a comma-separated list. If an answer does not exist,…

A:

Q: Let F = sin(4x + 2z)i – 6ye*² k. Calculate div (F) and curl (F). (Express numbers in exact form. Use…

A: GivenF=sin(4x+2z)i-6yexzkWe are required to finddiv(F)curl(F)

Q: the deflection of differential equation shown 26. dy a d'y = w(x) on 0<x<l dxe" ·beam 9. y.(x)..…

A:

Q: Determine if the following series is absolutely convergent, conditionally convergent, or divergent.…

A:

Q: 2. Determine whether the series converges absolutely, conditionally, or not at all. 00 (-1)" a. 2n=1…

A:

Q: 7. Determine the standard equation of the parabola in the figure given only its focus and vertex.…

A:

Q: Give the exact value of each expression in simplest radical form. 33.) a. cos 45° 34.) a. sin(-45°)…

A: Since you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: 3) Consider the function G(x) = f g (t) dt. Find the derivative G' (x). O g(x) g(x)-g(1) O g(t) O…

A:

Q: (b) F(t)=(e²¹)i + (2e²¹ +5)j + (2e²¹ -20)k for 0≤1≤ In 2

A: As we know that: The expression for the length of vector-valued curve in the interval a≤t≤b is:…

Q: Find the most general function M(x, y) so that the differential equation below is an exact…

A: Let's solve given diffential equation.

Q: Solve the following first order differential equation whose type of differential equation is either…

A:

Q: 4. Use the Root Test to determine the converge or divergence of the series. " b. 21(3n+1)" a Σ=1…

A: The given series, a) ∑n=1∞n2n+1n b) ∑n=1∞2n+1n-1n c) ∑n=1∞n3n We have to test the convergence of…

Q: Obtain the general solution by the indicated technique: 1.2 (3x-1)y'=6y-10(3x-1)³ ; linear equation…

A:

Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

A:

Q: 4. I dr 2r + 1 r-1

A: NOTE: Refresh your page if you can't see any equations. . here we can write  1=-2+3

Q: Evaluate each expression, using the values given in the following table, X (a) (gof)(-2)- (b)…

A:

Q: Problem 8. Write out five terms of the sequence bn approximate the logarithm terms using a…

A: Given; bn=ln(1+2en)/n

Q: Sketch the graph of the function and determine whether it has any absolute extreme value on its…

A:

Q: Use Laplace transforms to solve the initial value problem: y" - 10y' +9y = 5t, y(0) = -1, y'(0) = 2

A:

Q: Obtain the general solution by the indicated technique: separation of variables 1.1 adß+…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Problem 2 Consider the function f(x) = x³ 4x² +10. Find the x- coordinates of the local extrema.…

A: We have given function  fx=x3-4x2+10 Derivative of the function is given as  f'x=ddxfx…