plot Y funetion of as over Hhe Peenge ☺.0l <*< l00.

Q: Compute or show divergence: 1 а. dx 3 Vx+1

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: Conclude on the convergence or divergence of sin x dx cos x

A: Since function is not continous at x=pi/2. Hence we break the limit of integral at x=pi/2. This…

Q: dx 1. 00 (2x-1)3

A:

Q: (b) is required for this part. What is the moment generating function of X? No work (c) Compute…

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Q: dx 2. x +1 -1

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Q: Suppose you want to prove that ARST Theorem. If you know that ZR = LX, what else do you need to…

A: In ∆RST  &amp;  ∆XYZ, ∠R≅∠X.

Q: Use the error bound to find a value of N for which Error(TN) ≤ 10−6. If you have a computer algebra…

A: ∫251xdx

Q: Use simple fixed-point iteration to locate the root of f(x) = sinyã – x

A: Fixed point :   A point is called a fixed point of g(x) if it satisfies the equation x = g(x).…

Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(æ')…

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Q: Jse differentials to approximate 47. (Express as a rational number.)

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Q: the length of the curve y = coshx 1sx<2 is sinh(2) – sinh(1) Select one: O True O False

A: According to the guidelines issued by the company we are supposed to answer only first question.…

Q: Determine if the integral * 1+sin² # dx is convergent or divergent.

A: We can determine if the integral ∫1∞1+sin2xxdx is convergent or divergent using comparison test.…

Q: on. Find the method of moment estimate for 0

A: Given that sample size n = 4,  Y1 = 0.42, Y2 = 0.1, Y3 = 0.65, Y4 = 0.23

Q: se the secoud derivative test to find the local maxilnum and minimuin of thie funetioni u Zx3 -3ー12X…

A: If second derivative negative then maxima and if positive then minima

Q: Determine whether it converges or diverges. You must provide justification for your answer. sin(x)…

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Q: Find the taluves of X Where the

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Q: Perform a test to determine if it converge or diverge -1 x 2sin 1 dx 1– x -1

A: The function is given by: ∫-112sin-1x1-xdx If the function fx=2sin-1x1-x is positive, continuous and…

Q: */16 etan(1r) sec2(4x) dr

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Q: 1 dx et+ e

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Q: Determine whether dx is convergent or divergent. If it is convergent evaluate the integral Vx 3. 4…

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Q: Compute the point of intersection of the curve sinx and x-1 with the help of Bisection method. Ans.…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find y' by ased proportici Ln Xャ3

A: Taking natural log both side

Q: Use Simpson's Rule with ne4 to estimate Cos"xdx COSTX ☺ For ☺ an upper bound for the estimate. Hint:…

A:

Q: If the Midpoint Rule is used on the interval [-1, 11] with n = 3 subintervals, at what x-coordinates…

A: Consider the interval a,b=-1,11n=3. The length of interval, ∆x=11+13=4 Class intervals…

Q: Determine whether integral 0 to pie /2 sec x dx    converges or diverges

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Q: To apply the Midpoint Rule on the interval [3, 11] with n = 4, at what points must the integrand be…

A: Given: The interval  [3, 11]  with n = 4. To find: The points must be integrand be evaluated.

Q: Test the convergence of sin dx.

A:

Q: Use Secant method with p, =1, p, =1.2 to find the root of f(x)= In x-cos x that is accurate to…

A: Consider the given function  f(x)=lnx-cosx with initial estimate  po=1  ,        p1=1.2

Q: b) Determine whether the improper integral 1+ sin x 1+ x2 converges or diverges.

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Q: of P converges Find the Value which the integral absoluley condition. Sin () dx

A: To find the value of p for which the integral ∫1∞sin(1x)xpdx  converges absolutely. The improper…

Q: dX Show that Xe* converges/diverges.

A: Given : an  = 1 / x e(x)^2

Q: expanded as odulus of x, the 1-e

A:

Q: Show each derivative step in generating the fourth order Taylor polynomial for ln(x) centered at…

A: Topic = Taylor series

Q: Use either (3) or (8) in Section 8.6 to find upper bounds for the error in approximating dx by the…

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Q: Prove that the arc y = log secx from les (2+ 3

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Q: If the Midpoint Rule is used on the interval [- 3,27] with n = 3 subintervals, at what x-coordinates…

A: given  Interval [-3,27] and n = 3,  the number of sub intervals. To find at what x-coordinate at…

Q: Hiwiy Express the ballowsing functions by Palar equationft 2.

A: To change a rectangular equation to a polar equation just replace x with (r cos θ ) and y with  (r…

Q: Suppose that we roll a balanced four-sided die twice. Let Y be the maximum of the two numbers. Type…

A: If a four sided die is rolled then total possible outcomes = 4 and each outcomes are equally likely…

Q: I* cos z lim 1³+2

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Q: evaluate the improper integral / 1 dx. Does it converge x(In x)2 diverge? Justify your claim.

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Q: cises 1–12 con- of the Integral

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Q: Prove the following continuous time Fourier transform relationship. sin(at) 1 X(N) = Continuous Time…

A: Fourier inverse of XΩ=1    -π≤Ω≤π0    otherwise is : F-1XΩ=12π∫-∞∞XΩejΩtdΩ…

Q: - Show that sin converges. Hint: Use sinx <x for x 2 0.

A: Given: The series ∑n=1∞sin1n2, To show:  The given series is convergent.

Q: Prove sech 2  x =1 - tanh  2x

A: we have to prove: sech 2  x =1 - tanh  2x

Q: Show that the zeta faunction converges. uniporialy for Recs) >L S=xtiy

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Q: by thể differen ntial equation on associated with this sy

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

Q: The diffakential equotion af Sc sinx after eleminating of the ar bitrary constant eis

A: The order of the differential equation is equal to the number of arbitrary constants. the given…

Q: 1 lim, „(e* + x)÷ +00

A: Explained below

Q: Find the orthogonal trajectories of the functen X + ce-X which is . passing Thieugh (-2.0)

A: We need to find the orthogonal trajectories of the function y=x+ce-x, which is passing through (-2,…

Q: 5.If the tangent 1ine to the functlen fx)= axt-6x at X=- has the equatfon. y= 3x+2then 6=?

A: