For the series below, (a) find the series' radius and interval of convergence. For what values of x does the series converge (b) absolutely, (c) conditionally? 00 n=1 n/n8"

Q: 1 1. d.x J #(9 – In² æ)5/2°

A:

Q: а a а а а а а а 00 a a 0 0 a a a 0 00 0 а

A:

Q: 5. y = Arctan²(x³) 6. y = Arccos (

A:

Q: The tangent line equation of 2x6+y4=9xy at the point (1, 2) is ... ....E Persamaan garis singung…

A:

Q: Consider the parallelepiped with adjacent edges u = 3i + 3j + k v = i+j+ 8k w = i+ 9j + 5k V Find…

A: Given;  u=3i+3j+k v=i+j+8k w=i+9j+5k.

Q: Find the derivative of the following functions and simply it whenever possible. y = ln(x+3)4

A: Please see the answer below.

Q: x- y' + 3, x - 0, y=-2, y 1 Find the volume of the solid that results when the region enclosed by…

A: Point of intersection:x=y2+3x=0-2≤y≤1Volume of solid of revolution:V=∫cdA(y) dyA(y)=π[outer…

Q: Suppose f is continuous on the interval (0,3). Assume further that f(0) = -2 and f(3) = 5. Also, lim…

A: We can solve this as follows:

Q: Determine whether the series is convergent or divergent. (-1)"3"² En=1 2 -1

A: An absolutely convergent series is convergent. P-Test: The series ∑n=1∞1np converges if p>1 and…

Q: Determine whether the following series is conve rgent or divergent. (1.) 37 (use Integral Test.)…

A: Let's find.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: Evaluate the integral ſ xe²" dx; * dx; u=x, dv= e²ª dx using integration by parts with the indicated…

A:

Q: 1-5 by Partial funtron x-16

A:

Q: Answer: dy = 3yCx'ty)

A:

Q: Given: a, = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent. (a)…

A: Given that an =ln(n+1) - ln(n) We have to find whether the sequence ann=1∞  is convergent or not. A…

Q: m m 2m + 1. m=1 т m 2m + 1 m=1 Do the following converge or diverge?

A:

Q: 1. Evaluate the following integrals. (a) r* log x dx (1) / . dr

A:

Q: 1 If the integral A = S -dx is changed using substitution t = tan then A = ... sin x-cos x 1 Jika t…

A: A =∫ 1dx/(sinx - cosx) substitute  t = tan(x/2) differentiate with x dt/dx =(sec2(x/2))/2 dx =…

Q: 1. Evaluate the following integrals. (a) r* log r dr

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

Q: 10. Calculate the area of the shaded region bounded by the curves y = 1+4cos'x and y=-sinx, as…

A: From the given figure to find the area enclosed by the given region is bounded by the above from…

Q: A vertical plate is submerged in water and has the indicated shape (trapezoid). Express the force as…

A:

Q: Given: Em 00 tanm tan m+1) q. Find the Sum of this Convergent series.

A: Given that ∑m=1∞1tan-1m-1tan-1m+1Solution…

Q: Solve for the general solution of the following differential equation and determine whether it is…

A: I am attaching image so that you understand each and every step.

Q: Write the integral that would be used to find the area of the region bounded by x = 1, y = vx and y…

A: Given: y=x, y=-x+6, x=1   From the given curves and line the bounded region is as shown below; Now…

Q: Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the curve y= x+1, y= 0, x=…

A: Let's find.

Q: Determine the third degree Maclaurin polynomial of f(x) = tan 3x. Use this to approximate the…

A: The given function is; f(x)=tan(3x).

Q: x? dx (x² – 25)5/2

A:

Q: x2 — бх + 9 dx V6x – x2

A: We have to find value of given Integral

Q: Find the area of the triangle with vertices P(1,3, –5), Q(0, 0, 0) and R(2,4,1). NOTE: Enter the…

A:

Q: For items 3 - 7, use permutation or combination in solving the problems below. Many ways C O لصنجممد…

A: Total people: 9 godmothers, 9 godfathersArrangement around a round table.  Solution:  Fix one…

Q: Find the area of the region bounded by the given curves. y = x², y = 4x – x² - ly=x²

A: We have to find area of bounded region.

Q: Determine if the improper integral converges or diverges. If it converges, find its value. In dx

A: Here we have to integrate the given problem.

Q: { II. Consider the sequence í n+ 2)! J n=1 a.) Show that the given sequence is monotone. b.) Use the…

A: Here, the given sequence is: πn(n+2)!n=1∞ Let, an=πn(n+2)!

Q: State difference between Roll's Theorem and Lagrange's Mean value theorem.Is the Roll's theorem true…

A:

Q: 3). 5 dx =

A:

Q: 2m – 2 2m ΣΗ т+ 1 т + 21 m=2 Is it divergent or convergent? 8.

A:

Q: 9– 4x2 Evaluate: 4.x2 + 2 sin () +C A 6/ f (x) = 9-4x2 - 2.x sin () + C B f (x) = - -1 ( 2r 9-4x2+2x…

A: here we do integration using parts ∫ fg' = fg -∫f'g f = 9-4x2 g' = 1/x2 f' = -4x/9-4x2 g = -1/x ∫…

Q: has side lengths 8, 15, and 17 as shown below. hs to find cos B, tan B, and sin B. A 15 17 C AB 8.

A:

Q: 2. Use integration by parts to evaluate the following. (a) S x tan-x dx

A: Given

Q: Find the sum of the given convergent series. > [tan-1(2n – 1) – tan-1(2n + 3)] n=0

A:

Q: calculate the average value of the function f(x) =5cos(x) over the interval [0,pi/6]

A:

Q: Use tabular method to evaluate ƒ –2x³e¬5×dx

A: Solution is given below:

Q: n(x – 2)" 3" (2n – 1)3 - Consider the power series n=1 a. Show that the power series converges when…

A: We have to check the given series is convergent for x=5

Q: Use polar coordinates to evaluate sin (a² + y²)³ dA, R

A: We have to find value of given double integration

Q: +0 (2х — 1)" n V4n + 1 n=0

A:

Q: I. Evaluate the following integrals. 1. / 20- dx 2 x)5/2" x(9 – In².

A:

Q: Test for exactness and find the general solution of: (cos2y – 3x²y²)dx + (cos2y – 2xsin2y – 2x³y)dy…

A: To solve the following differential equation

Q: 1. tan 2x dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…