For what values of r does the given infinite series converge? Find the sum of the series when it converges. 1+ 2r + r? + 2r3 +r + 21° + r° + ...

Q: Louis made 24 quarts of lemonade. He divided the lemonade equally between 6 pitchers. How many pints...

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Q: Square roots of 5(cos(120degrees)+isin(120degrees)) Find the roots of the given complex number in tr...

A: Given :square root of 5(cos120°+isin120°)

Q: f(-4) = -7, f(1) = 4 (a) Write the linear function f that has the given function values. f(x) =

A: Solution ) we have f(-4) = -7 , f(1) = 4  Slope of the equation  m = (y - y0)/( x - x0 ) ( x0 , y0 )...

Q: Where should the point:p be chosen on the line segment So as to maximize the angle o ? AB 2

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Q: Consider the power series -1 3n" (x+1)" n! 1. n=1 What is the center of the series ? What is the rad...

A: An infinite series of the form                   ∑n=1∞ an(x-a)n is called power series centered at a...

Q: Calculate the iterated integral. '1 I l'x+e-Y) dx dy Need Help? Read It

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Q: Question 57 A scientific sample of radium-2 decayed to 81% of its original amount after 2 years pass...

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

Q: How fast is the volume of a cube changing when the edge is 15 cm if the edge is changing at the rate...

A: Given problem:- How fast is the volume of a cube changing when the edge is 15 cm if the edge is chan...

Q: x3 if x 1

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Q: 5. Evaluate the following improper integral, if possible. Show all work! (2x-1)

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Q: The estimated revenues r (in millions of dollars) from sales of in-vehicle technologies in a certain...

A: Given that, The revenue function is following, r = 157.49t2 − 395.5t + 6129,            3 ≤ t ≤ 8 We...

Q: In the system of constant. For w ехас exactly one dist

A: Concept:ax2 + bx + c = 0can have only one solution when,when the discriminant is zero.b2-4ac = 0b2 =...

Q: 3. Given the matrix below, determine the following: a. Transpose of the matrix b. Determinant of the...

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Q: E. Discuss the continuity of the function g(x) = on the interval (0,2] and [-1,3]. x2-4

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Q: Select ALL possible answers. Which of the following is lare NOT true of the function f (x) whose gra...

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Q: be coutinious at x Q3) Find the values of k and m that will make the following function continuous e...

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Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges...

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Q: G. Find the derivative of the following functions using the limit definition. 1. g(t) = 2-5t 5t+2 2....

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Q: In space coordinates, the xy plane consists of all the points of the form O (0, y, z) O (X, y, z) O ...

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Q: As you know, when a course ends, students start to forget the material they have learned. One model ...

A: The first thing you need to do is set up the problem relating the change in y to the quantities y,a,...

Q: 4n + 4n + 1 an 2n + 1

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Q: (c) S(2r) =

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Q: 7. If y = 6e, then y' = 30e*. The derivative of a product will never be equal to the product of deri...

A: Given,  f''(c)=0  On integrating both sides, ∫f''(c)=∫0 dc ⇒f'(c)=0 Where 'c' is a real number

Q: Can you please answer both

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Q: Find a parabola with equation y = ax² + bx + c that has slope 4 at x = 1, slope -16 at x = -1, and p...

A: We know slope of a curve y=f(x) is given by, dydx=f'(x)

Q: Find the area of the given region using any method. 1 y = 9 - x2 y 1.5 1.0 0.5 -1 1 -0.5

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Q: Problem: Find the answer following of the alittrential equation. d=2 tan(a) Secix) -y"sinca)

A: Given:    y'=2 tanxsecx-y2 sinx

Q: Question 9 Use polar coordinates to find the limit of the function as (x, y) approaches (0, 0). 4xy ...

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Q: Is the function f (x) below continuous on [3,+0)? (0, x > 0 X, 0 3 Choose

A: This question is related to limit and continuity, we will solve it using given information. 

Q: *+9x +20x Determine all the vertical asymptote/s of f(x) = if there are any. x* +x-12 X=-5

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Q: 00 Determine whether the series E. 2 converges or diverges. If it converges, find its sum. e n= 0

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Q: Sand falls from an overhead bin and accumulates in a conical pile with a radius that is always three...

A: Given: Data is given.     r = 3r     dh/dt = 3 , when h = 10  

Q: What is y if y= x when x 2? Oa.-1/4 Ob.3/8 Oc 1/4 Od.-3/8

A: According to question,Given function,y = x-2 

Q: A curve has an equation of y = x° - 6x + 9x + 2. Find the maximum point of the curve. O (1, 6) O (3,...

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Q: Question3: Solve the following LPP graphically and state which type solution of solution problem wil...

A: a) The graphical plot of the constraints is shown below : We observe that there is no overlap of th...

Q: An object is dropped from a height of 124 feet. ti = 0, t2 = 2 (a) Use the position equation s = -16...

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Q: Find the time functions for each of the following Laplace transforms using partial-fraction xpansion...

A: As per our guideline, we are advised to solve first 3 subparts of the question . So please ask other...

Q: 12. What is the equation of the tangent line to the curve y = x² – 2x + 1 at point (3,4)? a. у%3D 2х...

A: Since the student has mentioned to solve question numbers (12) and (13), but we can solve only one q...

Q: Given a function whose graph is shown below. The function is continuous on(-1,0]. 14 O Always True O...

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Q: After an automobile is 1 year old, its rate of depreciation at any time is proportional to its value...

A: We will calculate the time, then we will calculate depreciation value.

Q: y = 4+t-y, y(0) 1 (a) Find approximate values of the solution of the given initial value problem at ...

A: Let's find. 

Q: Q2:A/ Evaluate the integrals sec (1 + ex) tan (1 + e'/x) dx

A: Integral

Q: Use the graph, which shows the circulation (in millions) of daily newspapers in the United States.t ...

A: solution

Q: . The derivative of y = xe + e" is D. ex А. хе В. хе + е^ С. exе-1 + е‑

A: Given: y=xe+eπ

Q: Use sigma notation to write the Maclaurin's series for the function f(x) : = x cOsx. Show complete s...

A: Question: Use Signa notation to write the Maclaurin series for the function f(x)=xcosx. Show complet...

Q: The polar coordinates of a point are given. Plot the point. (2, x/2) y

A: Given,           The polar coordinates of a point is 2,π2.To find : The corresponding rectangular co...

Q: 24 48 72 96 +0 0 24 48 72 96 50 50% 150 C) 150- D) 24 48 72 96 ++ 0 24 48 72 96 50- -50- 00: 00- 150...

A: We will find the graph