Find the inteyral (lanx ir. in two ways Using u= JomX,

Q: sketch the region enclosed by the carves and find its area X Sy + 1a = .....

A: The detailed solution is explained in steps 2 and 3.  First we have to sketch the curves and then…

Q: lon of mtegradoM Sthe nte Shitch the and evaluate -2T -T

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Q: What is the purpose is skewness and kurtosis

A: Here we have to describe the purpose of skewness and kurtosis

Q: X*-y sin cx) = xー Y Sin Cx) =

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Q: b) Evaluate the following integral by using the polar coordinates R where Ris the enclosed region by…

A: solve the double integration

Q: Exercise 0.3.1: Show A\ (BOC) = (A\B)U(A\C).

A: Given;  A\(B intersection C) =(A\B) union (A\C).

Q: evaluate the in! integ ral if u = 16+ ex then e* V T6tex dx = ( Jü cu=(ile %3D

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Q: Explain the process of parametrisation and also write 3 application ?

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Q: ²*6²²y dy) dr 3

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Q: Theorem mDF : 52' D 162

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Q: angleO: Find a Tayler saries for Hhe Sunction fa)= In G) contered at a=I

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Q: find the anti- deriva tive of the fun cticn: fcx) = 4 cSca cotx - Secx cot x

A: Derivative of function

Q: 714 a) J116z SE-3") da

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Q: Given show =5 how dy %3D

A: differentiate y with respect to x .

Q: х — у—1 3y – 3x – 3y (1) = 1 у (1) %3D 1

A:

Q: +3 te 3

A: As two questions are given, I will solve only the first question, We are given: t3+e-13t Let f(t) =…

Q: 200 J + Corxiy_Tanx sinx dy

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Q: Find the sccond derivate Of the finctron Y =2*. Inx

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Q: dy de Xoy. -Secxy)

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Q: of the qurdrilatuol with vutics (-1,4);(2,5), (o,0) and (4r1) 1. Fmd the area

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Q: 7)Debermine whether the inkegra) is covergant. Pivergank If its convergant, evaluate it.

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Q: Sx9'de 1. Integrate:

A: Given :

Q: Why do we get cov(y0, y0) instead of cov(yt, yt)

A: Given MA(3) process

Q: O: Given a rv.*=12, 3,4,5, then (') (Evaluate () the ond 2non Centeral monent of X. ....

A: 1. X=1, 2, 3, 4, 5. P D F of X:

Q: Find the boundary of Ei= { ERIM, MEN } R²im,

A:

Q: c. fxV9-xdx

A: To find ∫01x9-xMethod we use substitution method

Q: can you answer  e) f)  g)

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Q: if A = {1,2,3 } , B. {4,5},U={ 1,2,3, 4,5} %3D %3D find: A -B = AUB = A OB = Aʻ -B' = PCB) = %3D %3D…

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Q: Distinguish briefly the Skewness and kurtosis

A: Skewness is a measure of symmetry where symmetry means equal proportion to the left and right to the…

Q: What is the image of C? C B C' A B' A'

A: Solution is given below:

Q: Hnd the generalsolutm to y" f4y'+13y =O Ganerat Soluhon:

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Q: 13, Use numbers N9N . Which is the reciprocal of 17 b. Which is the recprocal of C Reasoning What do…

A: Given,  The numbers ÷713, 167, ÷167, 713  We have to solve for part a, b  and c