n-1 (-3)' is convergent or divergent. If it's convergent, b) Determine whether the series 4" n=1 find its sum. Show All Your Work!

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

A:

Q: Let h(x)= f(g(x)) where f(x)=tanx. Then h'(x)= a) f'(tan x) g'(x) b) g'(x)tan(g(x)) c) g(x)…

A:

Q: Laplace transform of (t+2)^2

A:

Q: 16. What is the derivative of f(x) = eBx+3? a. f'(x) = e® b. f'(x) = 3e®x c. f'(x) = 8e d. f'(x) =…

A: 16. fx=e8x+317. y=34x18. fx=x3-3x2-3

Q: Given y = (x + 1)(x + 2)² Find: y O (z + 2)(3x – 4) O (2 – x)(3x – 4) - O (x – 2)(3x + 4) O (2 +…

A: Apply the product rule of differentiation f·g'=f'·g+f·g' to find the derivative of the given…

Q: Determine whether the improper integral diverges or converges. In x xp O converges O diverges…

A:

Q: 3) Find the derivative Of S> Sin (xy) + e' v#5

A:

Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 5y and…

A: To find the integral of volume of solid formed by revolving the given region.

Q: Evaluate the integral (8x + 12y)dx + (9x – y)dy along the parabolic (8x +12y)dx + (9x – y)dy along…

A:

Q: 1 On which of the following interval is f(x) = continuous? - O [2, +0) O (2, +) O (-00, +0) O (0,…

A: Given,  f(x)= 1/sqrt(x-2)

Q: What is the third derivative of the function: f(x) = x5 - 4x³ + 3x?? O 5x – 12x² + 6x O 20x? 24x + 6…

A:

Q: d²y of the following equation then simplify whenever possible. 3) Find and dx dx- x = 3em y = 4e-m

A:

Q: Evaluate the line integral (2x + 4y)dx + (3x – 9y)dy along the curve C : æ = 2 cos t, y = 4 sin t (0…

A: We need to evaluate integral.

Q: complex form and COS U+ i sin o) be the polar form Idition and subtraction between two complex…

A: Topic:- complex number algebra

Q: The function f(x) = - 2a3 + 36x2 192x + 8 has one local minimum and one local maximum. This function…

A:

Q: ntinuous function, f (x), has a domain of [-6, 6] -6 <x<-2 x=-2 -2 <x< 0 x=0 0 < x<6 does not exist…

A:

Q: a/a + b/b 189 a/b + b/a = 180 Find a and b value

A:

Q: A cylindrical water tank 8 meters high with a radius of 2 meters is buried so that the top of the…

A:

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. (y – x) dx +…

A: A detailed solution is given below

Q: Use the graph of the function f(x) shown below to evaluate lim f(x). x 3+ 3 2 3 O 3 O 1 O DNE 2.

A:

Q: Sketch the region R and evaluate the iterated integral F(x, y) dA. (1 - 2x + 8y) dy dx 2.0- 2.0 1.5…

A: A detailed solution is given below

Q: If we apply Rolle's Theorem to the function f(x) = 2x2 – 16x – 4 on the interval [2, 6], how many…

A: We state Rolle's theorem here ------    Let f : [a,b] -&gt; R be a function continuous on [a,b] and…

Q: Evaluate the line integral | -ydx + xdy along the curve C:y? 30x from (30, 30) to (0,0). NOTE: Enter…

A: We need to find integral.

Q: Find div F and curl F if F(x, y, z) = 10e*Y i – 6 cos yj+ 2 sin? z z k. div F= curl F=

A:

Q: Evaluate the following limits. If needed, enter INF for oo and MINF for -oo. (a) lim (Va + 3r +1-1)=…

A:

Q: e. Write a couple of careful sentences that describe the behavior of the temper- ature of the potato…

A: The given table is: t 0 15 30 45 60 75 90 F(t) 70 180.5 251 296 324.5 342.8 354.5 We have to…

Q: Write the augmented matrix for the system of linear equations. 6x +y+ 3z =D 2 9x - 6y- z = 5 x-8y-6z…

A: Explained below

Q: Find volume of the solid obtained by rotating the bounded region determined by curves y = In x, y =…

A: We have to calculate volume of solid obtained by rotating the region bounded by y=lnx, y=0 and x=2.…

Q: FIND THE INTEGRAL OF YOUR ANSWERS IN 2a and 2b  Note: My answer on 2a and 2b will be found on the…

A: This is a problem related to integral of the function. Based on the general formula we will answer…

Q: ne graph of f(x) = (2x + 1)- %3|

A:

Q: Evaluate Sae 2a (a2 + 9) d. 3c

A:

Q: (1+x, if x 2 %3D

A:

Q: QUESTION 2 Find an equation of the tangent to the curve at the point by first eliminating the…

A:

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal.…

A: Given that,      z=19xey-10ye-x

Q: The sales function for a product is given by S(x) 124 + 37.8x? – 0.6x, wherex represents thousands…

A:

Q: Evaluate lim, (-5x + 5 – 5 - ) 12 O + O 5 O-5

A:

Q: Evaluate lim,-(-- 7 - 10 + 4) | 4x3 O +∞ O -7 O -10 8.

A:

Q: Consider the function f(x) = 9x + 4x-1. For this function there are four important intervals: (- 00,…

A:

Q: Evaluate: Vt2 + 3 – 2 lim - t→-1 t² – 1 - O Does not exist 1/4

A:

Q: A potter forms a piece of clay into a cylinder. As he rolls it, the length, L, of the cylinder…

A: Here, the amount of the clay is fixed. dVdt=0...(1) Now, the volume of the cylinder is given by:…

Q: 1+9n² 1. b) Determine whether the sequence a, =. converges or diverges. If it converges, 1+n² find…

A: 1/infinity=0

Q: Find the area of the part of the circle r = 8 sin 0 + cos 0 in the fourth quadrant . Answer :

A:

Q: Find curl (8z i + 9x j+ 8y k). curl (8z i + 9x j + 8y k) i )i + ( i )j + ( i )k

A: Given that,     8z i+9x j+8y k

Q: Find curl (3z i + 4x j + 7y k). curl(3z i + 4x j + 7y k) = i Di + ( Dj + ( i )k

A:

Q: The graph of f(x) is shown (see figure). f(x) %3D Vx2 +7 Net draw o scale (a) Find the following…

A: Solution: f(x)=9xx2+7

Q: Let 7(t) = Find )dt (don't include the +C)

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A: Given:        ∮C7xydx+4xydy  Where C is the rectangle bounded by x=-1, x=2,y=1 and y=5  The formula…

Q: Find the volume of the solid that results when the region enclosed by the geviN curves. -2X ソニ e;…

A: The given curves are; y=e-2x, y=0, x=0 and x=1. So, the bounded region is as shown below. Now apply…

Q: Let F(t) = * F(e)dt (dont include the «C) Fine Question Help: D Video Add Work

A: We know, ∫tndt=tn+1n+1 ∫-sin-tdt=∫ddt-cos-t=-cos(-t)

Q: Evaluate the definite integral. Using Fundamental Theorems of Calculus. π 1 sin -x cos? 1

A: