Explain why the fundin f(2)= 526+ z COSZ - z’e? is entire ?

Q: Find the derivative of In(3t³ – 2t + 1) and then calculate S; + 3 dt (use integration by…

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Q: Which of the tollawing differential eouations corresponding to the potertial Vix) = 2x - x

A: Differential equation    Option  2nd  is correct

Q: Calculate the derivative ,11z d da Ja7 In (t)dt using Part 2 of the Fundamental Theorem of Calculus.

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Q: What must be the measure of ZX in order for ARST to be similar to AxYZ?

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Q: Use a linear approximation to estimate v100.5. Show your work.

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Q: Illustrate the setting up limits of a double integral?

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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  &  ∆XYZ, ∠R≅∠X.

Q: Prove the relationship =<- dt

A: we have to calculate  ddt&lt;px&gt;  .....(1) &lt;px&gt;=-ih∫ψ*∂ψ∂xdx .....(2) substituting equation…

Q: Find dy of Using first principles

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Q: Explain how to simplify the integrand of dx before x - 1 integrating.

A: we have to simplify the integrand before integrating ∫x+1x-1dx

Q: Find the generol solution of the differential eguotion given below,

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Q: By exchanging the order of the integration, the evaluation of siny dydx y klea

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Q: (у — siny)(y'сosx — cscy) :

A: Solve the differential equation                          (y'-siny)(y'cosx-cscy)=0

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of f(x) = Lret dt Sainx %3D

A: Using the fundamental theorem of calculus to find the derivative of: fx=∫sinx7et2 dt Solution:…

Q: What is the integrable form of et dx? e-e-X

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Q: Define Testing for cointegration when θ is unknown ?

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Q: Calculate the derivative 10z d dz In (t)dt using Part 2 of the Fundamental Theorem of Calculus.

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Q: Pind the ualue of e is an integrating facko of ly-y')+xy'so

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Q: Find the set of orthogonal trajectories for r = VA sin (2e)

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Q: Find the Integration of: f(3sin t + esin ty cost dt In 3

A: we have to integrate the following

Q: Change the hence order of integlation and evaluate Siny dydx

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Q: so  by an = 0 ,   does the divergence test apply ?

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Q: Evaluate the double integral [ Vy sin ydydx.

A: • Here, the inner integral w.r.t 'y' is difficult to evaluate, hence we have to change the order of…

Q: he integra = 3/2 is dz Z-2

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Q: Does Newton’s Method fail when the initial guess is a relative maximum of f ? Explain.

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Q: Apply Gauss's theorem to evaluate. A

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Q: When is integrating using the tabular method useful?

A: When is integrating using the tabular method useful?

Q: For the slope field shown, which could be a family of anti-derivatives? TUN | 31 1112+\ll || \ ++~…

A: A slope field shows the slope of a differential equation at certain vertical and horizontal…

Q: State the two conditions required for performing a paired t-procedure. How important are those…

A: From the question,Paired t-procedure is the dependent sample t-test, is used to estimate whether the…

Q: What values of a and b maximize the value of (x – x²) dx? |(Hint: Where is the integrand positive?)

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Q: Do you need to prove normality for chi-square on spss?

A: Chi-square Test : The chi-square test is a hypothesis test used to determine whether there is a…

Q: The value that will satisfy potential function p is

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Q: 10 de . 4+3cose Integrate

A: To evaluate the given definite integral.

Q: Solve the nonhomogeneous ODE by variation of parameters. ODE: y" + 4y = cosh 2x

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Q: (а) The centripetal acceleration of a particular wheel in a locomotive with respect to the angle…

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Q: Use two -point gaussian square to approximate the following double integral:

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Q: Find the limits of integration in cylindrical

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Q: Find the particular integ rel of This differential etuatim. (40²+HD+= 2e +8x %3D

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Q: Scos* y sin ydy

A: Given problem:- ∫ cos4(y/2)sin(y/2) dy

Q: Derive the error term of composite trapezoidal rule for integrating S f(x)dx.

A: ok, let us say that we are dividing this region in n regions,

Q: Evaluate dx using Simpson's rule. 3

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Q: What is the antiderivative of the integrand dx ? 2e*

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Q: : Evaluate fxe dx to using Romberg integration to an error of order

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Q: Evaluate wing Integration by Tangorometre bodetrdadin 1.S Jas-x? dx

A: Solution

Q: Consider that two students (Student A and Student B) are working on a joint project. Each student…

A: Effort Level is given by ei=0,1,2 for i=A,B Denote Emin.=min.eA,eB   Grading Scale is given by :…

Q: sketch , EvValuate & reverse order af integration de dy

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Q: Calculate I dx n=LobysimPsons4) rule

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Q: dt 4e -et

A: To evaluate the integral: ∫dt4e-t-et Solution: Given integral can be written as:…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.