(a) Find the series' radius and interval of convergence. Find the values of x for which the series converges (b) absolutely and (c) conditionally. nx" Σ n+9 n=0 (a) The radius of convergence is (Simplify your answer.) Select the correct choice below and fill in any answer boxes in your choice. O A. The interval of convergence is (Type a compound inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) O B. The series converges only at x = (Type an integer or a simplified fraction.) OC. The series converges for all values of x. (b) For what values of x does the series converge absolutely? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series converges absolutely for (Type a compound inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) O B. The series converges absolutely at x = - (Type an integer or a simplified fraction.) OC. The series converges absolutely for all values of x.

Q: The e half- lite of a ra to actine material 1S lle years. Sunppose we have a 10amg sa, How much of t...

A: Given:   T = 110     N0 = 100     t = 30

Q: determine whether the statement is true or false. If it is true, explain why it is true. If it is fa...

A: Given: Iflimx→7 g(x) = 0 and limx→7 f(x)g(x) = 0 exists, then  limx→7f(x) = 0.

Q: an+1 Assume that an converges to p = 1. What can you say about the convergence of the given series? ...

A:

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer 00 10"...

A:

Q: Question 6 Maximize z = 8x + 2y subject to: x+ y<4 2x + y s 5 x2 0, y 20 The maximum is 20 at (2.5,0...

A:

Q: Calculate the integral. (Use symbolic notation and fractions where needed.) - sinh(15x) dx = +C

A:

Q: a) Enter a definite integral that gives the volume of the solid when the region above is rotated abo...

A:

Q: f(6 + h) – f(6) Find lim if f(x) = - 9x – 1. h→0 f(6 + h)-f(6) lim (Simplify your answer.) %3D

A:

Q: Evaluate the indefinite integral. | cos*(3x) dx

A:

Q: Find the indefinite integral in each of the following. Show all necessary solutions. 3. sin ? x cos'...

A:

Q: Solve the Bernoulli Equation xyy' + y² = 2x

A:

Q: d²f df (b) +2-+ 5f = 0, f(0) = 1, f(0)=C dr? dt

A:

Q: A time study showed that, on average, the productivity of a worker after t hours on the job can be m...

A: The productivity of the worker after t hours is given by: P(t)=21t+6t2-t3, 0≤t≤8 where P is the numb...

Q: A. Ellipse B. Parabola C. Hyperbola

A: Given that: f(x, y)=9x2+4y2

Q: is (1,87, 3) and (1,87, –3), where z is defined implicity by the equ plic notation and fractions whe...

A:

Q: What is the algebraic form of the complex number 13 e (A) 12+5i (в) 5-12i c) 12-5i D) 5+12i

A: We can find the exponential form of the algebraic expression as below.

Q: 3. Below is his graph. Is his graph correct? If not, explain what mistake(s) he made. TO 8. Brian gr...

A:

Q: Determine whether the improper integral converges and, if so, evaluate it. (Give your answer to one ...

A:

Q: Evaluate the integral. Show all your work. dx (x² – 1)3/2

A: Given that: ∫dx(x2-1)3/2

Q: 3(-2х + 2)5 3. y= x²e5x _ + sin² ( – 3x) (x – x²)"

A: First divide it in 3 individual differentiation and then diffrenciate and finally add all to get the...

Q: Find the linearization L(x) of the function at a. 9 f(x) = a = 3 - L(x) =

A: We have to find the linearization L(x) of the function at a.  We have, f(x)=9x and a = 3 

Q: Find the inverse for the following function f(x), and find the domain and rang for f(x): x+2 f(x) = ...

A:

Q: Write a in the form arT+ aNN at the given value of t without finding T and N 8, r(t) = (t+1)i + 2tj+...

A:

Q: Find f-(x, y, z) in the function f(x, y, z) = a?y*z + ay +? +1. %3D A. fa(x, Y, z) = 4x²y°z* + x %3D...

A:

Q: 1. Find the length of the curve r(t) = (sin 2t, cos 2t) from t 0 to t = 2n. %3D 2. Find the length o...

A: As we know that, The expression for the length of vector-valued curve is: L=∫abx't2+y't2dt   1). Giv...

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection. (I...

A: Given:- y=x3/3 +x2 -24x+25  To find:- Relative maxima Relative minima  Horizontal points of inflect...

Q: ) A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How fast...

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

Q: Find the indefinite integra

A:

Q: Find a formula a, for the n-th term of the following sequence. Assume the series begins at n = 1. 1 ...

A:

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,        ∫1∞dxx+13

Q: Consider the surface given z = f(x, y) = e*#v. Then, af 1. af 2. dy 3. The equation of the tangent p...

A:        

Q: • If we did not have logarithmic differentiation, what rules would we need to use to find the deriva...

A:

Q: Given 8:[E!,i]> SR be a fanction H ベto if x-0 (5 cefined by gGs) = 2 Cosl Deter mine whether the fel...

A: This question is related to bounded variation . solve in step 2.

Q: 1. f(x)=sqrt(x-5);x≠5 and g(x)=x+3. find the domain of (gof)(x) a. all real numbers greater than 5 ...

A:

Q: 21.) Give the slope of x'y=8 at the point (2,2).

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given:      ∑k=1∞116k2+8k-3 The series converges.  

Q: f cos 0 = where <0 < 2n and tan 3= where r < B < , set up the triangles that represent each trig %3D...

A:

Q: The measure of the supplement of a 71° angle is (Simplify your answer. Type an integer or a decimal....

A: Supplementary angles sum =180° ⇒180° - 71°=109°  

Q: 15) Find the slope of the tangent line to the given polar curve at the point specified by the value ...

A:

Q: 1. (a) Consider the following equation: xy dy – (3x² + 4y²) dx = 0 (1) State the order of the equati...

A: First order Linear differential equation :                     dydx+P(x)y=Q(x) ; where Both P(x) and...

Q: 2. Use central difference approximations to estimate the first and second derivatives of y = e* at x...

A:

Q: 1 Use the Limit Comparison Test with the comparison series E÷ to determine n=1 n? whether or not the...

A:

Q: The great Swiss mathematician Leonhard Euler sometimes reached incorrect conclusions in his pioneeri...

A:

Q: If I represent the intensity of light which has penetrated water to a depth of h feet, then the rate...

A:

Q: You are designing a poster which has a border around the printed portion. The border is 2 inches wid...

A: Given:  The border is 2 inches wide on the left and right sides, 3 inches wide on the top and bottom...

Q: A pole stands 75 feet tall. An angle is formed when wires of various lengths of aF feet are attached...

A: Given that length of a pole is 75 ft.  find the rate of change of the angle dθdx  at x=199ft

Q: Let g(x) = x². Which of the following outputs of g is not guaranteed by the Intermediate Value Theor...

A:

Q: Determine the coordinates of the center and the value of the ra sphere x2- y2-2- 10x - 6y - 12z --54...

A:

Q: Consider the following function. +] - 2x + 2 3 2 (a) Find y'-f"(x). "(x) = (b) Find the critical val...

A: Topic = Derivative As per guidelines , At  a time only three sub-parts can be answered.

Q: Let f(x) = tan '(sin(2a)) f'(r)

A: Given :f(x)=tan-1(sin(2x))