Math

CalculusQ&A LibraryCOs nt Does the series > converge absolutely, converge conditionally, or diverge? nn n 1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series converges conditionally per the Alternating Series Test and because the corresponding series of absolute values is a geometric series with r= B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. C. The series converges absolutely because its corresponding series of absolute values is a p-series with p D. The series diverges because the limit used in the nth-Term Test is different from zero. O E. The series converges absolutely because the limit useed in the Root Test is 0Start your trial now! First week only $4.99!*arrow_forward*

Question

Does the series

∞

∑(cos(πn))/n(squareroot(n))

n=1

converge absolutely, converge conditionally, or diverge?

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Refer to the figure below. 11 9 18 (a) Find the angle opposite the longest side. (Round your answer ...

A: Given triangle is

Q: Evaluate the definite integral from 0 to 1 of dt/sqr(t^2-6t+13)

A: Given integral is

Q: A Graphs A and B are approximate graphs of f and f for f(x) x2 So f is increasing (and f is positive...

A: Using f(x)= x^2-2x+3 we find the f'(x).f'(x)= 2x-2

Q: I am confused about parts C and D.

A: Given:Three-digit numbers:

Q: An automobile starts from rest and travels down a straight section of road. The distance s (in feet)...

A: The distance s (in feet) of the car from the starting position after t seconds is given by

Q: Evaluate the integral -2t sin(-3t) dt Note: Use an upper-case "C" for the constant of integration.

A: Given Integral;

Q: 62. If a couple has $80,000 in a retirement account, how long will it take the money to grow to $1,0...

A: If P is the principal invested at a continuously compounded rate of r over time period t, the the ma...

Q: Calculus Question

A: Substitute the term with x+h for expression in f(x+h) and x for f(x). Expand the terms and cancel o...

Q: For what value of k will y=2x^2+kx-9 have a minum at x=3?

A: The given equation is,

Q: Differentiate. f(x) = x2 sin(x)

A: To determine the derivative of the function.

Q: Consider the parametric equations below.x = t2 - 4y = 5 - 2t-3 ≤ t ≤ 4(a) Sketch the curve by using ...

A: Make a table of t,x,y. Pick random values for t between -3 to 4. Then find x and y for those ts.

Q: A house painter has found that the number of jobs that he has each year is decreasing with respect t...

A: (a)given:

Q: find any x-values where the tangent to the curve is horizontal, where y=x^3-6x^2+9x+1

A: The given equation of curve is,

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: Given,

Q: Evaluate the indefinite integral 1 sec (x) tan(x) dx +C

A: Given,

Q: Find dy/dx.x = t sin(t)y = t2 + 3t

A: Click to see the answer

Q: The question says: "Find the magnitude and direction (in degrees) of the vector" V=-((sqrt)2)/2 , -(...

A: Refer to the question , we have to find the magnitude and direction (in degrees) of the vector"V=-((...

Q: 5. In this problem, we will use linearization to approximate the solution of e +1 20 which occurs ne...

A: Consider the given equation

Q: Can I get help with this problem step by step?

A: To determine the length of piece bent into the shape of an equilateral and a circle.

Q: For the pair of functions, find the derivative of the composite function f(t(x) in terms of one inpu...

A: Given,

Q: 16. Suppose that $50,000 from a retirement account is invested in a large cap stock fund. After 20 y...

A: Click to see the answer

Q: Find the radian measures that correspond to the degree measures 260° and −155°. (I really just need ...

A: Click to see the answer

Q: Consider the parametric equations below.x = 5 + 2ty = 1 - t2 (b) Eliminate the parameter to find a C...

A: From the equation for x, write t in terms of x.

Q: Find an equation of the tangent line to the curve at the given point. y = 5ex cos(x), (0, 5)

A: To find the equation of the tangent line at the point (0, 5) to the curve given below.

Q: Differentiate the following function. y = (7 + sin(x))/(7x+cos(x))

A: Click to see the answer

Q: Find the point "P" on the graph of the function y=sqrtx closest to the point (10,0) The x coordinat...

A: Let the point is (x,y)= (x,sqrt(x))Distance of (x,sqrt(x)) from (0,0) is D

Q: A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped ...

A: Obtain the limit of the concentration as t approaches infinity as follows.

Q: Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you beg...

A: Given an ice block with the following conditions,

Q: Use integration by parts to evaluate the integral. 6 3 e cos x dk 0

A: The given integral is,

Q: Can you help with this problem step by step?

A: (a)

Q: Sketch and find additional polar three points for (2,4pi/3). When r>0 and r<0. And theta is be...

A: Given polar coordinate:

Q: Can you please do problem 3.

A: Let the number of Euros be represented by e and pounds by p.Given each euro is $1.20 and pound is $1...

Q: 17. Rectangles beneath a semicircle A rectangle is constructed with its base on the diameter of a se...

A: Given:A rectangle is constructed with its base on the diameter of a semicircle with radius 5 and its...

Q: Find an equation of the tangent line to the graph of y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

Q: Consider the following.x = 1 + t2y = t2 + t3 (a) Find the following.(dy)/(dx) = (d^2y)/(dx^2) = (b) ...

A: Click to see the answer

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: Part (a): Let’s consider two function g(x) = 9x5 and h(x) = 3x2 + 2 (g o h) (x) = g(h(x)) = g (3x2 +...

Q: 4. Let f(x talk about its inverse.) Without finding a formula for f1(x), find (f1)'(4) Vx26 (We rest...

A: To determine (f-1)’ (4) without using formula of inverse.

Q: Solve the equation for x: 272x+1=1/3

A: To determine the solution of the equation.

Q: Find the solution of the differential equation dy/dx=x/y that satisfies the initial condition y(0)=−...

A: Given a differential equation and an initial condition,

Q: The question says: "A pair of parametric equations is given. a.) Sketch the curve represented by the...

A: Given:

Q: I'm confused on how to find the x-coordinates of the inflection points of f in this problem when giv...

A: a) If the curve if graph of f then we have to look for the points where the curve is changing curvat...

Q: 51 and 52 Find dy/da and d2y/dx. For which values of t is the parametric curve concave upward? 51. t...

A: Given,

Q: Find the arclength of the curve r(t)=⟨7sint,9t,7cost⟩ −2≤t≤2

A: According to the given information the given curve is:

Q: The height (in feet) of a certain kind of tree is approximated by h(t)= 120/1+180e-.34t where t is t...

A: The height of a tree in feet as a function of time t in years is as follow:

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval.x = 3sin(t)...

A: To find: The motion of particle.The expression is rewritten as,

Q: Problem 2 part A, B, and C

A: As per norms, three aspects of the question are answered. It is adivisable post multiplie parts sepa...

Q: Evaluate the indefinite integral -3 tan (x) sec'(x) dx +C

A: Given,

Q: consider the circle X^2+y^2=25 1. find dy/dx 2. find the equation of the tangent line at the point ...

A: Given an equation of circle

Q: Please answer and clearly explain part b and c. thank you

A: As per the instruction, we are solving part (b) and (c) of the question.According to the information...

Q: Solve for x and check your answer: ln(-x)=ln(x2-6)

A: Given: