Give an example of a pair of series (an² bn) = n=1 and m with positive terms where lim B₂ 'n n→∞0 n=1 = 0 and db diverges, but n=1 8 n=1 an converges.

Q: Problem 2. Find the expected value and variance for the random variable X whose probability density…

A:

Q: Suppose that y varies inversely with x, and y=-4 when x=-6. (a) Write an inverse variation equation…

A:

Q: Find the area inside one leaf of the rose: The area is r = 3 sin(60)

A:

Q: Obtain the following integral I where: 1 = [ ₁²e³² da and write your answer in the form I = e5¹ (px²…

A: Given Indefinite Integral is as follows As we know that

Q: - Given the function f(x) = 2; on the interval [0, 3] and n approximate area using the right…

A:

Q: Write a parametric equation for the line that passes through the point (1,0,2) in the direction of…

A: The objective of this question is to find the parametric equation of a line that passes through a…

Q: Find the integral t sin(7t) dt.

A:

Q: Part 1: The First Derivative Find the open interval(s) on which f'(x) is positive / negative. Type…

A:

Q: [" Calculate the following integrals: Suppose f(t)dt = 5.

A:

Q: Let f(x) = 2 x - 4x-45 x-9 Find a) lim f(x), b) lim f(x), and c) lim f(x). x→9 x→0 X→-5 a) Select…

A:

Q: The revenue function for a sound system is R(x) = 500x - x² dollars where x denotes the number of…

A: We are authorized to answer three subparts at a time, so we are answering the first three subparts,…

Q: Given that f(t) = 5 sin(5t), find the average value of f(t) in the interval 2 <t<6, correct to two…

A:

Q: Calculate the following iterated integral. L., L², ze™ dy) da = xey dx -2 [

A: The given double integral is xexy , y from -1 to 2 and x from -2 to 0.

Q: Complete the following operations by filling in the value of the exponent for the result: 1 10¹…

A:

Q: Find the slope of the given line, if it is defined. (If an answer is undefined, enter UNDEFINED.) m…

A:

Q: | The function y(x) = e-2x is a solution for x²y" - 2xy' +5y=0. Select one: O True False

A:

Q: (b) ∞ 2 X 2 2 (8x² - 12x) dx -∞

A: given integration

Q: The graphs of the functions are shown in the Let h(x) = f(x) g(x) and k(x) = f(x) g(x) & figure. ,…

A:

Q: Propositional Practice Note 1 In parts (a)-(b), convert the English sentences into propositional…

A: For every real number k, there is a unique real solution to x^3 = k.

Q: Are the following statements true or false? ? ? ? 1. The line parametrized by x = = 7, y = 5t, z= 6…

A: Given statements The line parametrized by  is parallel to the x-axis.A parametrization of the graph…

Q: We create a solid of revolution by revolving R about the line y = 12. Set up an expression with…

A: Given that the region R bounded  by the lines

Q: Find the general solution to the differential equation 4d² y + y + d x² 36dy - 4y=8sin2x dx

A:

Q: Given cost and price (demand) functions C(q) = 100q+45,600 and p(q) = -2.7q+800, what price should…

A: Given cost and price (demand) functions , to find the price that the company should set to earn…

Q: Find the indefinite integral by making the substitution x = 9sece. √ √x²-81 X dx Select one: O a.…

A:

Q: lim an - an 1 2 C + Sn *

A:

Q: Suppose total cost in dollars from the production of x printers is given by C(x) = 0.0001x³ +…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) |x - 8| lim 18+ x - 8 Enter…

A: we need to find out the limit.

Q: 2 y = f(x) 3 4 5

A: The given graph of function f(x)

Q: Find the intersection of the three planes. π₁: 2x + y -z +3=0 π₂: x-y + 2z = 0 π3: 3x+2y-z+5=0

A: To find the intersection of the following three planes.

Q: Rationalize the denominator, Express in simplest form. 5√3+ √2 2√3-√2

A:

Q: Directions: Construct a Regression Model for the following data. Years (after 2000) Dollars 9 8175…

A: Given Date regarding the question is as follows

Q: 1 2. Find the area enclosed by y = √x + 6 and y=x+2. Hint: Find the intersection of each function…

A:

Q: Car Sharing Jesaki Car Sharing offers a membership plan with a $44 per month fee that includes 10…

A:

Q: Find the solution of each inequality in the interval [0, 27). (Enter your answers using interval…

A: As per guidelines, we can solve only first 3 subparts for you if multiple subparts are asked.

Q: x = t³ - 6t y = 21²

A:

Q: Q4) Use integration by parts to evaluate the following: b. f(x-2) lnx dx C. fx² ex dx

A:

Q: Directions: The graph of function f(x) is given below. Use this to sketch the graph of its…

A: Given fraph of f(x)

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $12 the…

A: Given that a baseball team plays in a stadium that holds  spectators. With the ticket price at  the…

Q: Let f(x)=-2x²-3x-5 and g(x)=√√x+14. Find the limits. lim g(f(x))

A:

Q: (a) If (x, y) = (8, 8) then (r, 0) =( (b) If (x, y)= (13, 8) then (r, 0) =( (c) If (x, y) = (-1,-6)…

A:

Q: simplify (x + 1)² T

A:

Q: Graphs of the functions f and g are given. ya 1 0 (a) Which is larger, f(1) or g(1)? Of(1) is…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A:

Q: Use the figure to identify all angles between 0 and 27 satisfying the condition csc (0) = -2. 5. Зл…

A: Given that the figures and

Q: Graph the given equation. 4y = 5 S -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 10 9 8 7 6 5 4 3 2 1 T 1 2 3 4 5 6…

A: The given equation is

Q: Taking logarithms and antilogarithms is necessary to solve many chemistry problems. For practice,…

A: given N is a number, we need to find the logarithm and anti-logarithm

Q: Question 3 Find the limit, if it exists. If it does not, enter "DNE 2x³ - 6x-4 4x² + x lim x→→∞

A:

Q: Let F(x)={tan(x−4)cos(x−4)x&lt;44≤x    Then lim x→4−F(x) = _______

A: The objective of this question is to find the limit of the function F(x) as x approaches 4 from the…

Q: 7| Page ? Exercise 4.2.3 Find the linear approximation of f(x) = (1+x) at a=0 without using the…

A:

Q: Use the graph of f(x) on [−5, 5], shown at right, for questions 4 - 6. Lf(x) dx 4. 5. 6. A. 9п - 2…

A: