Use any method to determine if the series converges or diverges. Give reasons for your answer. (- 5)" Σ na1 n°2n Select the correct choice below and fill in the answer box to complete your choice. O A. The series converges because it is a geometric series with r= O B. The series diverges because the limit used in the Ratio Test is OC. The series diverges because it is a geometric series with r= O D. The series converges because the limit used in the Ratio Test is

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: 00 n Does the series (-1)"n*=| converge absolutely, converge conditionally, or diverge? n = 1 Choose...

A:

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) You answered corr...

A: The given series,     ∑k=1∞4k+27k-1

Q: Find an equation of the tangent plane to the given surface at the specified point. 3.  z = 2x2 + y2 ...

A: Given that: z = 2x2 + y2 - 5y, (1, 2, -4)

Q: Suppose that the position of a particle is given by s(t)=3t^3+6t+9 (a) Find the velocity at time t....

A:

Q: = 1. Find the general term of the sequence, starting with n = Determine whether the sequence converg...

A:

Q: Let f(x) (8 sin r + 9 cos I)tan f'(x) =

A: Topic = Derivative

Q: Consider the following sequence: +00 7" {an} = n=1 An+1 to show that the given sequence {an} is stri...

A: Given that: {an}=7n6n21∞

Q: + cosx r- 2xy)y' = yly + sinx] ;when x = 0, y = 1 %3D %3D

A:

Q: If the limit of f(x) is 5 and the limit of g(x) is 2 as x approaches a constant k, what is the limit...

A: If the limit of f(x) is 5 and the limit of g(x) is 2 as x approaches a constant k, what is the limit...

Q: Write the first five terms of the sequence: {Vn² +n – n}, n=1 Determine whether the sequence converg...

A: given sequence n2+n-n1∞  

Q: Where is the graph not differentiable? a. x = -2, -1, 0 b. x = 0 c. x = -2, -1, 0, 1 d. x = -2, -1,...

A: Given query is to find where graph is not differentiable.

Q: find the derivitive by implicit differentiation   4sin(xy) = x

A:

Q: What do I say?

A: Simplify :     csc(x)+cos2(x)sin(x)

Q: Find y' : In(cos² 3x) = e*+y + sin¬1 y

A: Given that: ln(cos23x)=ex+y+sin-1y

Q: ACTIVITY 1 Direction: solve and analyze each of the following problem in neat and orderly manner. Do...

A:

Q: answer

A: Please refer to the image below

Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (If both values are the sa...

A: let the two numbers be x and y so  x×y=36sum=x+y since         xy=36⇒y=36x Substitute y value in sum...

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: Write the first five terms of the sequence: {Vn²+n – n}1 n=1 Determine whether the sequence converge...

A:

Q: Show that the coefficients of the given differential equation are homogeneous and solve the give dif...

A:

Q: 22.) Find the slope of the tangent to the curve, y = 2x – x? + x³ at (0,2).

A:

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

A:

Q: 4. Given that ai = 3, > ak = 1 1 and ) bk = 5, it follows that k=1 k=1 Σ Eak and > 2ak + bk k=2 k=1 ...

A:

Q: In the 1990s, significant numbers of tourists traveled from North America and Asia to Australia and ...

A:

Q: Express the repeating decimal as a fraction. 5.262626...

A:

Q: general

A: Please refer to the image below 

Q: dy Consider the differential equation dx Let y =Jx) be the particular solution to the differential e...

A:

Q: y = 3x - 1 + Ce-3x Find the orthagonal trajectories to the given curve.

A:

Q: Find the second derivative of y2+2xy=x+y

A: The given function,    y2+2xy=x+y

Q: ах? + с, x < -2 a) Given f(x) = }bx + 8, - 2<x < 3, determine the values of a, b, and c if: -2c, x2 ...

A:

Q: Differentiate f(r)= tan(3x). Use exact values. f'(x) = %3D

A: Given ,f(x)=tan-1(3x)We know that, ddx(tan-1(x))=1x2+1Differentiate w.r.t. xApply chain rule,f'(x)=1...

Q: . Given the graph of g(x) = {√−x−2+1, x<-2   x2+2x+5,  x≥-2 below, evaluate its limit as x approache...

A: Given that: 5. g(x)=-x-2+1, x&lt;-2x2+2x+5,     x≥-26. g(x)=Graph is given.7. g(x)=-1x2

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

A:

Q: Given the function: f(x, y, z) = æ²y*z³ + xy+ ² + 1. %3D Find a. f,(x, y, z) b. f:(x, y, z)

A: Topic:- partial derivatives

Q: Consider the plane area shown where r= 18 In. 20 in. 30 in. 30 in.- Problem 05.039.b - Application o...

A: Given: Length of rectangle (Lx ) = 30  Length of the rectangle in (Ly) =50  Radius of the semi circl...

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: Find the slope of the tangent line. y = cos3x at x= -5pie/12

A: Given:     y = cos3x      At x = -5π/12

Q: Find the profit function if cost and revenue are given by C(x)= 155+1.5x and R(x) = 7x-0.09x. The pr...

A: This is a basic calculus problem

Q: O Atte Evaluate the limit. (Use symbolic notation and fractions where needed. Use the symbol co for ...

A:

Q: 91. Proof Prove that (cos 0)i + (sin 0)j is a unit vector for any value of 0.

A:

Q: Find the series' radius and interval of convergence. Find the values of x for which the series conve...

A:

Q: Evaluate the ff Sinx d /sinx+ casx

A:

Q: Find the general term of the sequence, starting withn 1. Determine whether the sequence converges, a...

A: The given sequence,19, 195, 1952, 1953,........

Q: 1 dx (use trigonometric substitution) x/1+x6

A:

Q: Find dy for y = (4x +2)2. dy = (Simplify your answer.)

A:

Q: Given the information below, what can you conclude about the function? f (2) = -4, lim f (x) = -4, x...

A:

Q: ogress Incorrect. Find the general term of the sequence, starting with n = 1, determine whether the ...

A:

Q: estimate the following limits and the function value. Complete parts (A) through (D). Use the graph ...

A: This question is related to limit. Solve in step 2.

Q: If the limit of f(x) is 5 and the limit of g(x) is 2 as × approaches a constant k, what is the limit...

A: