Rewrite the series to show that it is an alternating series of the form E1(-1)"b„. Then, use the Alternating Series Test to show if the series converges or diverges. Don't forget to show that all conditions are met. 00 п cos nn 2n n=1

Q: Evaluate. (Be sure to check by differentiatingl) 1 dx, x# - 3 9+ 3x

A: To evaluate: I=∫19+3xdx Use the rule: ∫1xdx=ln |x|+C

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A: (A)  RIGHT HAND SUM   when ∆x=3     then n=12-03=4 The four subintervals are[0,3]   ,   [3,6]  ,…

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A: Here we will find the equation of common tangent,

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Q: :Q1 Solve the second order differential equation Y " – 5Y' + 9Y = 0

A: Given the second order differential equation is y''-5y'+9y=0

Q: Frod the averuge vearlue of the durndkam f over Shoe lad eraual [q,9]

A: Solve it

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Q: 2. Find a power series solution of the differential equation y' = 4y

A: Use the power series for the solution.

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A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

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A: Given problem:- if y(t) = 2t-3 +7t2 find d2y/dt2 at t=2

Q: 1 3. (x+1)(x²+4)² dx

A: The given integral is  1/[(x+1)(x2+4)2].

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Q: 9 Derivative of fi») 1x 4 . 5. 1 f) 1x1cosx, fird f'n)

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Q: Calculate the first, second, and third derivatives of y(t) = 2016/5 – 6127. (Use symbolic notation…

A: We will use simple differentiation rules to solve this question.

Q: 4 Determine whether the alternating series E (- 1)"7 converges or diverges. 9 Inn n=2 Choose the…

A: FOLLOE NEXT STEP

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Q: (3) (E) - (a) - () 2. 2. 는 (v) 1 1 1. (B) 1 1 = xP (x)fj fx+1 for x<0, 9. Given f(x)= cos nx for…

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A: Given problem:- The spread of a highly contagious virus in a high school can be described by the…

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A: See the answer below

Q: QUESTION 11 Let D (x) =x2- 12x+ 36. Find the consumer surplus at the equilibrium x=3. E $ 25 $ 12 $…

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A: From the graph the zeros are -2, 0, 3.The equation of the function is given…

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Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

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Q: dx 4

A: Answer is in step 2.

Q: Eveluete Khe definde lategal 3 In C) doc

A: To evaluate the integral.

Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in…

A: Consider

Q: 1. Which of the following is 'alse? If x > 0, then 1/x > 0. If x > 1, then x^2 > x. If x<y, then 1/y…

A: If x&gt;0 , then 1x&gt;0 is trueIf x&gt;1 , then x2&gt;x  is trueIf x&lt;y , then 1y&lt;1xIf x.z=y.z…

Q: • F(x)=x2 -7x+20, g(x)= 2x+6.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Question 4 Solve the initial value problem: y' = – 0.03y + 6 y(0) = 50 - y(t) =

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