To which of the following series can the Integral Test be applied? Select all that apply.

Q: Let X be distributed as Binomial (3; p). If P(X 21) = 124/125 then P(X = 1)= [A] 12/125 [B] 3/ 8 [C]…

A: Given,A random variable X~Binomial (n=3 , p)P(X≥1)=124125and P(X=x)=nx px qn-x  ; x=0,1,2,....nq=1-p

Q: Approximate V1 +x4 dx, with n=4. (Hint: use Riemann sums). You may round to the thousandths place.

A: The given problem is to approximate the given integral using reimann sums with intervals n=4.

Q: F(x) = 2 X + 1

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Q: a. Find the Maclaurin series for the function x2/(1 + x). b. Does the series converge at x = 1?…

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Q: 2k 3. Given: Verify that Integral Test applies and use it to conclude whether this series is (1+;x),…

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Q: Use series to approximate the definite integral to within the indicated accuracy. ²*x lerror <0.001…

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Q: H.W: Use the comparison test to determine the following series converge or diverge: 1 3" +5 n=1

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Q: Given: 00 5(-3)"(x – 2)" Vn + 2 n=0 Use Limit Comparison Test to show that the series diverges when…

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Q: Please show all work: Find the sum of ∑∞n=1 [(kn-1)/(n-1)!]e-k

A: find the sum of the given series

Q: Consider the series > 1. n? n=1

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Q: From the following series find the first four Moments about an arbitrary value and convert them into…

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Q: Assuming a series of 5000 values of Y, with Var(Y,) = 81. Suppose that p=(-0.2)K| . Then Var() is…

A: Assuming a series of 5000 values of Y, with Var(Y,) = 81. Given that Px=(-0.2)|k|

Q: Find RRAM, LRAM, and MRAM for y=8/x from x=1 to x=3 for n=4. Draw a picture for each Riemann sum.

A: Given: The function, fx=y=8x from x=1 to x=3 for n=4.

Q: 12. Find the Maclarin Series expansion for f(x)= sin 7x.

A: Maclaurin Series for f(x) : f(x)=∑n=0∞ fn(0)n!xn =f(0)=f'(0)x+f''(0)2!x2 +f'''(0)3!x3+...

Q: Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".…

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Q: Use the standard series to find the sixth order approximation to f(x, y) = centered 1- xy at (0,0).…

A: The given function is similar to the infinite geometric series, which is as follows:…

Q: Consider the following pdf: fx (X) = 0.06x+0.05 X = 0, 1.5, 2, 4, 5 Since it is a discrete pdf,…

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Q: Use a power series to approximate the value of the integral 0.01. Round your answer to three decimal…

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Q: What are all values of a for which the series Select one: O a. 9 15 O C. a < 12 O d. a <9 3 X k=0…

A: The given series is .The aim is to find the values at which the given series is converges.

Q: 10, pts. 10 pts. 5. Which series converge and which diverge? SHOW HOW YOU OBTAIN ANSWER. GIVE AS…

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Q: п? For which values of p does Ln3 + 1)P 00 converge? п: n=1

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Q: 1+ sin(n) 5. 10т n=0

A: We can find the answer of the following question given below.

Q: Consider the following two series 3" (I) (II)4 Sn + 1 Which of the following statements is true ? O…

A: Using Ratio and Root Test we find correct Option.