Problem 2. f = Is the integral XT dx convergent or divergent? Hint: There is a test that allows you to obtain an answer without computing the integral. But you need to justify your answer carefully, as done in your class notes.

Q: 2. (Section 17.2) Integrate f(x, y, z)=x²-3y + z over the line segment from (3,2, -1) to (0, 1, 1).…

A:

Q: Question 11 The area of a healing wound is given by A = ². The radius is decreasing at the rate of 2…

A:

Q: Convert the angle -17 from degrees to radians. Answer with an exact value and not and approximation.…

A:

Q: Suppose a product's revenue function is given by R(q) 3q² + 200g. Find an expression for the…

A:

Q: lim 814 2-2-√²+1

A: To evaluate the limit of the function

Q: 1. (a) (b) (c) (d) Find Maclaurin series for the function e-2x 2² 2³ 1+2x-x + _ 2! 22 2x+x 3! 1-2x²…

A:

Q: 4. Y 4. y. 34-46 where

A:

Q: Approximate the area under the curve graphed below from x = 2 to x = 5 using a Right Endpoint…

A:

Q: Find y' if x = y. y' = Note: Leave your answer in terms of x and y.

A: Given: xy=yx To find: y' To find the y’ we need to take logarithm to both side

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. • Stan(kx)…

A:

Q: the products revenue is R(x)=-2x^2+400x R(x) is dollars and x is units sold. the cost function is…

A:

Q: Suppose f''(x) = 42x + 16e-4x, ƒ'(0) - 14, and f(0) = - 9. Then f(x) =

A: See this solution in below.

Q: Let F = (9x - 2zx²,4z – xy, 7z²x²). Calculate div (F) and curl (F). (Use symbolic notation and…

A:

Q: Question Let f(x) = (6+5)* f(x) has one critical value at A = For a A, f(x) is Question Help: Video…

A:

Q: b. For the cylindrical shells method, consider the region bound by y = √r² — x² in the first…

A: Given figure:-

Q: Solve the equation. (Enter your answers as a comma-separated list. Round your answers to three…

A: Given14e-4t = 0.9

Q: ·S₁ 2. x² dx Vx2 + 16

A:

Q: 3. (b) Identify the curve by transforming the given polar equation to rectangular equations. r = 6 3…

A: (b) The polar equation is given as , r=63cosθ+2sinθ          .....1 Identify the curve by…

Q: (b) r(t)=e¹¹ 7+ sint j+t² costk at t= 0

A:

Q: 36. x3 x³ - 11x - 26 x²2x-8 [²0 dx

A:

Q: 2. Find all the values for x for whi radius of convergence? (−1)"(x+1)" n a. n=l

A: a. Ratio test

Q: how did the operation change right after you equated dA/dL to 0

A: For finding maximum or minimum , firstly find critical point . For critical point , equate first…

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

A:

Q: 6. Use the unit circle to evaluate the following: (a) (c) (e) (g) sin(7) cos (4) sin (¹5) csc (-²)…

A:

Q: lim X ड Hy गं

A: We have to find limit

Q: lim (x,y)->(0,0) sin xy² 1² x² - xy lim (x,y)→(0,0) √x - √y

A: 1) Lim(x,y)-(0,0)Sinxy2/y2 2) Lim(x,y)-(0,0) (x2-xy)/(sqrt(x)-sqrt(y)).

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

A:

Q: d the polar coordinates if (x, y) = (-√3, 1), r≥ 0, -2π < E

A: Given query is to find the polar coordinates.

Q: The rectangular coordinates of a point are given. Plot the point. (-2√/2, -2√//2) -4 (r, 0) = y 5x 4…

A: Given rectangular coordinates of the point is -22, 22 For a point (x, y),  r=x2+y2 where…

Q: e¹ = 7

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

Q: tan(x)=2/3 and cos(x) is positive or tan(x)=2 *over* 3 and cos(x) is positive

A: Solution

Q: Solve the inequality 32 3-2X>7. 5

A:

Q: 11. If g(x) = 4x In x, find g'(x) A. 1+ lnx* C. 4+ lnx¹ B. +4 lnx D.

A:

Q: If the population of an ant colony in 3 days is known to be 2000 and P'(0) 2. What is the…

A: For Linear Growth we have formula, Pt=P0+ktWhere Pt is population at t days.P0 is initial…

Q: Solve the differential equation. dy 9x²y² dx = for y # 0

A: Given query is to solve the differential equation.

Q: 1 3. Convert the integral IM x² + y² + z² and evaluate it. (Think about why converting to spherical…

A:

Q: x) = (x-10) ¹

A: Given query is to find the critical points.

Q: the rectangular equation if r = 4 cos 0 + 4 sin 0

A: Given query is is to find the rectangular equation.

Q: 2- Find the critical points of: f(x) = x³ - 24x² + 189x - 200

A:

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

A:

Q: Find an equation of the line tangent to the graph of ​G(x)=3e−2x at the point ​(0,3​).   y=

A:

Q: Find the coefficient of x18y¹2 in the expansion of (-2x6 + 2y³)².

A:

Q: g(x)= 4x ln x, find g’(x)

A:

Q: Σ n=4 4η 2 3n” – 2n – 15

A: The given series is summation of 4n/(3n2-2n-15) , n from 4 to infinity.

Q: Write the sum using sigma notation: -1+2+5+ 8 + 11 +...+ 116= Σ Β, where B, n=1 A = B

A:

Q: (5) Determine if the alternating series converges Σ(-1)^n. 8 n=2

A:

Q: Find the nth Taylor polynomial centered at c. f(x) = In(x), n = 4, c = 4 P4(x)

A: We have to find the nth Taylor polynomial centered at c  f(x) = ln(x), n = 4, c = 4

Q: The velocity of a car coming to a stop is shown in the graph below. Use the graph to determine an…

A:

Q: Solve the logarithmic equation for x, as in Example 7. (Enter your answers as a comma-separated…

A: Note: Since the student has posted multiple questions and does not mention any specific question, so…

Q: Question 2 Consider the function f(x) = 2x+52-1. For this function there are four important open…

A: Given function y= f(x).