Classify the series as absolutely convergent, conditionally convergent, or divergent (– 1)* Σ k=1 V10k(k + 1) The series is conditionally convergent eTextbool divergent conditionally convergent absolutely convergent

Q: 3/2 du 4. V1-u

A:

Q: If f(t) = 7t3 – 10t2 + 8t – 4, find f'(t) and f"(t). f'(t) = f"(t) =

A:

Q: 41. If f(x) = x²/(1 + x), find f"(1).

A: 41.f(x)=x21+x

Q: Use the reduction of order formulas to find the inverse Laplace transform of (2s+2)/(s^2-6s+10)^2

A: Solution is here 

Q: For each function, do the signs of the first and second derivatives of the function appear to be pos...

A:

Q: -2 Select all the points at which the graph above is not differentiable O-4 ) -3 O-2 0-1 00 01 02 on...

A: 1.At sharp point of graph of function , function is not differentiable . 2.Continuity is necessary c...

Q: Find dy/dx and dx/dy from 6x-x'y +4x 0

A:

Q: Find the volume of the solid whose base is the region |x|+|y|≤4 and whose vertical cross sections pe...

A:

Q: 4. Find the area of the surface S where S is the part of the plane z = 3x +y that lies above the tri...

A:

Q: Find the equation of the tangent line to the function f(x)=2x^2-x at the point where x=-1. Give you...

A:

Q: #13 and 17, differentiate the function

A:

Q: he perimeter of a rectangle is 28 feet. Let one side be x feet long. Show tha o value of x for which...

A: Given: - The perimeter of a rectangular is 28 feet. Let one side be x feet long. To show: - There is...

Q: a) Verify that the function y = x + x2 is a solution of the differential equation xy' + 2y = 4x², (x...

A:

Q: Let h(x) f(x) %3D where f(x) = x +1 and g(x) = x² + 3x- 2. What is h' (x)? 8(x)' Select the correct ...

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 3edx -16 2.10-3rdr ...

A: We need to solve integrals.

Q: (b) Find 7, T, N, and B at the given value of t for F(t) = (cos t)î + (sin t)ĵ – k, t=. 4

A: According to bartleby guidelines I can only answer the first 3 sub questions of the given problem. 

Q: cot e dv cot ( +9)1-cos? e Irm

A:

Q: Use the difference an+1 – an to show that the sequence - {n – 6“}n=1 +0o - is strictly increasing or...

A:

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A:

Q: Determine whether the series converges. 1 Σ k + 9 k=1

A: The series is given as , ∑k=1∞1k+9 Determine whether the series converges.

Q: Find the circulation of the fieldF = (x2 - y)i + 4zj + rk around V? + y?, the curve C in which the p...

A: Field F→=x2-y i^+4z j^+ x2 k^Surface S is cone z=x2+y2at plane z=22=x2+y2x2+y2=4So, f=x2+y2-4

Q: 3. Set-up the definite integral(s) to get the area of the shaded region. y = (x – 1)2 + 3 y = -x2 + ...

A:

Q: dz at the point (1,1,1) if the equation 4xy +z°x-2yz = 3 defines z as a function of the two independ...

A:

Q: 7 4 + If f(x) = 2 + find f'(x). - 4 14 x3 Find f'(4). Find f''(x). Find f''(4).

A:

Q: A spherical balloon is inflating with helium at a rate of 128x ft / min. How fast is the balloon's r...

A: We have to find radius is increasing at a rate of and surface area is increase at arate 

Q: [ 8x³(4x² + 1)12dx

A:

Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as...

Q: 2x2 + 3x + 4 If f(x) : then: f'(x) = f'(3) = %3D

A:

Q: You would like to use differentials to approximate the change in BMI when weight increases from 55 t...

A:

Q: COla-sina COIa- da sin (2a)

A:

Q: Determine whether the function is even, odd, or neither. f(x) = |x| - 2 Choose the correct answer be...

A: Given:- f(x)=|x|-2 To find:- Given function is even,odd or even

Q: (a) Each of the following functions is smooth in a simply connected region. Determine which of them ...

A: In order to find the scalar function we need to equate the respective partial differentiations and i...

Q: Find the first 5 terms of the following sequences and then write the sequence in list form. (– 1)" -...

A:

Q: Find the derivative of the function. y = xe-x8 %3D y' = %3D

A: Given: y=xe-x8

Q: sin' eJ4 - cot e

A:

Q: Use the graph to determine Ay (a) open intervals on which the function is increasing, if any. (b) op...

A:

Q: Consider the following equation. x³ + 3xy 2y2 = 37 dy Step 1 of 2: Use implicit differentiation to f...

A:

Q: 3- Determine two functions g(x) and h(x), neither of which is constant, so that f(x) =f(x) = g(x) 0...

A: The two functions, gx=x2+1x2-1 and hx=x2+1x2+2 such that fx=x2+1x2-1x2+1x2+2. The function is constr...

Q: Use the given conditions to write an equation for the line in point-slope form and in slope-intercep...

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+l k ! (2...

A:

Q: Values of f(t) are given in the following table. t 2 4 8. 10 f(t) 13 19 30 46 64 84 (a) Does this fu...

A:

Q: Find K, B and r for H.W Find K, B and T for 1. r(t) = (3 sin t)i + (3 cos t)j + 4tk %3D 2. r(t) = (c...

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: Question 6 (x5-x3– 6x) dx is the same as x²+2 4x dx x2+2 D 8x dx x²+2 (E F None

A:

Q: Calculate 121x dxdy where R is the parallelogram with vertices (0,0), (6,2), (7,6) R 1 -(v — Зи), у ...

A:

Q: 4 Find the derivative of: – 9/x - Type your answer without fractional or negative exponents. Use sqr...

A:

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A:

Q: Let f(x) = /71 – x The slope of the tangent line to the graph of f(x) at the point (7, 8) is The equ...

A:

Q: 0.08e* Determine p' (x) when p(x) =

A: Quotient Rule of differentiation : du.vdx =u.dvdx+dudx.v deaxdx =a.eax dxndx =n.xn-1

Q: x2 - x +1 When you evaluate: dx The sum of the coefficient of X" for any constant n>0 is

A:

Q: Find the two values of k for which y(x) = ek* is a solution of the differential equation y'' – 15y' ...

A: The given differential equation,      y''-15y'+50y=0