Alkernating - Use the llecom Series Theorem to prove that the sSeries which is the Sum from to infinity of a:(-1)" n! converges ?

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A: We have to find the total cost.

Q: Find all points on the graph of ƒ(x) = 2 sin x + sin?x where the tangent line is horizontal

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Q: dE 3D25-8t, where t is the number of hours the operator has been at work dt The rate at which a…

A: Given dEdt=25-8t To find E(t):

Q: Solve the problem. Given that f(x) = 4x + 4, find lim [f(x) - f(7)/(x - 7)] x-7

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Q: a) Find the fifth term of the sequence 16 31 46 61 15' 21' 27

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: y" tuy=3(sct

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Q: Examples: Find the limits of the following: 1. lim sin x = sin1 = 2 5. lim sec x = lim cos(-) = cos0…

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Q: Consider the series (z – 9)6, (z - 9)8 E4. = (2 - 0)2 + (- 9)“ E, = (z - 9) + +... 3- 2! 9.3! 27- 4!…

A: This question can be solved using the concept of general term of series.

Q: dB Bln's

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Q: 3. Find the derivative of y = sin² 3x two different ways, a. Use the product rule. b. Use a power…

A: Here is the solution:

Q: 2 - y 3. Consider the lines defined by the equations &3 : x – 1= 3 – z and l4(s) = (1 – 2s, 4s, 1 +…

A: Given problem:-

Q: Evaluate

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Q: 3. Four inhabitants of a small island return from a vacation infected by a contagious disease. The…

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Q: Solve the following system of IVP: -3 3 x' = Ax where A =-2 -1 1 and x(0) 21 %3D 3.

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Q: Determine the number at which h(x) = V16 – x² is continuous. %3D | Vx2 – 1 Determine the largest…

A: In these question , we can check where the function is continuous . Check where the function is…

Q: Consider a triangle ABC like the one below. Suppose that A= 128°, C=25°, and b= 56. (The figure is…

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Q: Use the comparison test to verify that the following series converges: 1 Σ n =15+n4

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Q: Зx+2 xp- 1-25x2

A: Given

Q: Find a formula for the general term a n of the sequence, assuming that the pattern of the first few…

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Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Answer is in below steps.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: This is case where critical points are not defined.

Q: 5n+5 Determine whether the series Ln=1 n+1 is convergente or divergente.

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Q: First four terms of the sequence n2+3 n 1+8 n are: 4 10 79 28 9 17 75 33 none 4 10 18 28 9. 17 25 33…

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Q: Set up a double integral that represents the area of the surface given by z = f(x, y) that lies…

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Q: Convert the equation, 5r csc(0), from polar coordinates into rectangular coordinates. Hint: Enter an…

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Q: Use the formula k(t) : ||r(t) × r"(t|| to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk K(t) =

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Q: Rewrite the Cartesian equation x = 7y as a polar equation. r(0) = Use the math palette or type theta…

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Q: For each of the following series determine if the series converges c for series convergence or…

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Q: From Rogawski ET 2e section 10.2, exercise 12. Write S = E n(n–1) n=7 1 as a telescoping series and…

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Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = 11 cos(3t)i+ 11 sin(3t)j+ 7tk…

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Q: A. Products of Powers of Sines and Cosines, Evaluate the integrals in Exercises 1-8.

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Q: れお! /0 fi23)=4 4 (か) 2,十 F) Eanals it Ofiles)= 12 D Not if tha above

A: Given: Fx,y = x3y2 To find: Fx2,3 We know that Fxx,y is differentiation of Fx,y with respect to x ,…

Q: Sketch the region R whose area is given by the iterated integral. dx dy 3 3- 2- 2- 1- 3- 3 2 3…

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Q: Problem 5 Find the general solution of the following equation: y" + 2y'- 15y = 0. Find the…

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Q: Simplify the expressions below as much as possible. Leave no negative numbers under radicals and no…

A: Find your answer below

Q: Find the length of the arc from 0 = 0 to 0 = 2n for the cardioid r = f (0) = 2 – 2 cos 0.

A: Solution if r=fθ  has a continuous first derivativefor α≤θ≤β then length of polar…

Q: 3. Use a sign chart for f" to determine the intervals on which each function f is concave up or…

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Q: Using the Maclaurin series for arctan(x), find the Maclaurin series for the given function. f(x)= -7…

A: Maclaurin series of arc tan (x)= ∑k=0∞ (-1)k x2k+1(2k+1).

Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

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Q: of the curve defined by x=3t-t anc

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Q: 17. f (x) = (1+ 4x)²

A: Solve the following

Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

Q: An appropriations bill passes the U.S. House of Representatives with 59 more members voting in favor…

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

A: Given the equations are y = x32 y = 6x

Q: Let vector Ñ be normal to plane x – 5y – 2z = 3, and let Ē = (3, – 2, 1). Find the following. 1. The…

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Q: ||r(t) × r"(t)|| Use the formula k(t) = to find k(t). r(t) = 8 cos(6t)i + 8 sin(6t)j+ 7tk K(t) =

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Q: (1–3)* (t³ -8) t + 2 4. 2-t

A: Given problem:- y= (1-3)5(t3-8)/(2-t)  To find:-  find derivative of given function

Q: Eliminate the constant 'a' from the equation. (x – a)² + y? = a² O (x? – 2y)dx + 2xydy = 0 (x² – y²…

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Q: The one-to-one functions g and h are defined as follows. g (x) = 3x+13 h= {(-8, -3), (-3, 2), (3,…

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Q: decimal number o.11 11 Eaual ^ true O evror

A: This is a problem related to decimal points conversion into p/q form. Please follow the procedure…