Determine whether the series converges using any appropriate test. Identify the test for convergence used and show complete solution. k! 1. Lk=0 104k

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

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Q: 7–√7

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

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Q: 2.- Find the value in polar form of the following expressions а) ei1 b) e1-j1

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Q: -) For the function f(t) = 16t3 - 40t consider the definite | integral "f(t)dt -1 a) Evaluate this i...

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Q: 1 Find the two points on the curve y=- at which the tangents have as slope of -.

A: Given,            The curve y=1x at which the tangents have as slope of -12.To find : The two points...

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Q: Use the total differential to approximate the quantity. Then use a calculator to approximate the qua...

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

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Q: Number of phone surveys A research institute conducted phone and mail surveys. The total cost of con...

A: topic - linear function

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A: h(x)=x-2x2+2x-8The function will be discontinuous at point where denominator is zeroconsider  x2+2x-...

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Q: The direction field for the differential equation dy = e*-y dx passes through the point y(-1) = 2 is...

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Q: 1-cos 3x +C 3sin 3x dx 2. 1+ cos 3x

A: We have to prove given integral. 

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A: Guven equation of curve y= x3-6x2+9x+2 At point of inflection double derivative y"=0  

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A: topic - definite integral

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A: As per our guidline we are supposed to answer only first question. Kindly repost the next question a...

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then use the fo...

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Q: dx Evaluate the integral V1 + 9x² 1)

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Q: Select ALL possible answers. Which of the following is/are true of f (x) = x²(x + 3)²? A. The functi...

A: answer C the function is continuous everywhere because here  not any value of x in denominator  so i...

Q: Jse the methods of chapter twelve to determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (...

A: Coplanar vectors

Q: 'ind the average rate of change of h(t) = 3 c on t-3 [1,1+ h]

A: Topic:- calculus

Q: Find the differential of the function y = f(x) . f(x) = (5x² + 7)/3 dy =

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Q: Does the series converge or diverge? n=1 (In 1.5)"

A: We will use ratio test to find convergency.

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A: Here we have to determine whether the sequence {an} converges or diverges.

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Q: Can you please answer both

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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...

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

A: Given: y=xe+eπ

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A: We have to calculate dy/dx

Q: Using double integration, find the volume of the solid bounded below by the plane z = 0 and above by...

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Q: F(x) = xe" – 5 ln 7x + 7 is an antiderivative of %3D f(x) = xe² Select one: O True O False

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Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. Зд 2 = sin...

A: topic - sequence and series

Q: 22, what is

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Q: S e3(2e * – 1 ) dx (ear – 2) (e3* + 1) 4 (A) 2e3x – 1 B) 2e 6r – e 3x © (e3r – 2)+ D (e*+1)+ (E ,6x ...

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Q: 1 Find lim 3 s-2- \s-2 s²–4,

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Q: (a) Find the differential dy. y = V 15 + x² %D

A: y = f(x)dydx = f'(x)dy = f'(x) dxy=15+x2dydx = ddx(15+x2)dydx = 1215+x2 ddx(15+x2) dydx = 2x215+x2dy...

Q: (a) 2(x- 3) + 11 = 6- x x-4 (b) 3+x 三 3 (c) x2 - 7x + 6 = 0

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Q: Using double integration, find the volume of the solid bounded below by the plane z 0and above by th...

A: z= 25-x2-y2z≥0at z=0x2+y2=250≤z≤25-x2-y20≤z≤25-r20≤x2+y2≤250≤r2≤25  → 0≤r≤50≤θ≤2π

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Q: A scientist initially has 40 mg of a radioactive compound that decays by about 10% each year (ie. af...

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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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