Q1/ A charge of -0.3 Mc at A (25,-30,15 ) and second charge of 0.5 Mc at B(-10,8,12 ) find E at: a) the origin b) p(15,20,50 ) *

Q: QI/ Evaluate: 1-S(y3" + y2n + y")(2y2" + 3 y" + 6)i dy.

A: Proceed as shown below...

Q: - Evaluate Lf²f²8x³yz dr dz dy.

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Q: a.) y' = 1 +6x c *ry %3D

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Q: dy Q3) Find dx for 3(x? + y?) ² = 100xy

A: Here, the derivative dydx is obtained by implicit differentiation. Thus to find the derivative first…

Q: ∞ Σ n=1 1 n(Inn)2

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the GCD OF 4xy°z', 8x²y"z³ and 24x'y°z" ? 10

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Q: {G) = -2x+5 firid f(2)

A: To find: The value of f1. Given: The function is fx=-2x+54. Calculation: Substitute x=1 in…

Q: Suppose Cov(X,Y) = 281. What is Cov(0.76X, 0.43Y)?

A: The objective of the question is to find the covariance of the two variables 0.76X and 0.43Y given…

Q: In(2) 1- xy ey dxdy

A: Given :            ∫01∫0ln(2)xyexy2 dx dy

Q: If X ~ Geo(p), calculate Skew (X).

A: Given x follows a geometric distribution with probability of success  p . We need to find skewness…

Q: Find dy y = e fin (52) for り =

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Q: (2 – 3x²)² e -×dx= 208 a 19860 244 O 196 aO 8.

A: The objective is to solve ∫0∞2-3x22e-xdx

Q: 1 dx = x(x* + 1) Select one:

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Q: C4

A: Given, Evaluate ∫ex1+e2xdx

Q: Q4) Choose correct answer : rtan-(cotx) dy dx = i) So 10n а. 44 15n b.- 44 20n С. 44 d. 1-n 2

A: Given: ∫01∫0tan-1cotxdydx

Q: Suppose Cov(X,Y) = 725. What is Cov(0.72X, 0.62Y)?

A: The objective of this question is to find the covariance of the two variables 0.72X and 0.62Y given…

Q: T, _ Sol- e — Scanned Selve M equadden o'y 6% sax)

A: Given,              y''-y'=5ex-sin(2x)

Q: A chemist is carrying out laboratory experiments to verify the operation of a new pharmacy on a…

A: The population of bacteria is defined using the equation: N(t)=10t3-255t2+1800t+1000, where t is the…

Q: Compute : csc(e) d Csc evx dx CSC - Csc cot evx А. 2/x B. csc cot(evF).eF . — cSC Cot csc · cot 2 D.…

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Q: .(1) t is straightforward to show that y = k-1 is a solution to the homog quation

A: Given,                yk+2 -2k+1kyk+1+ kk-1yk=0         (3.151)and       yk+2 -2k+1kyk+1+…

Q: 2 (x+95y)e !!

A:

Q: Evaluate J e*sinh2x dx Select one: O a. ex 3X а. e- + C 6 2 O b. e-X e 3x + C 6. O c. none of the…

A: The given integral is ∫e-xsinh2x dx

Q: T scosce) 25-r2' 2. dz dr de 0 0

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Q: 2) 3. | 24 ly-11 dy

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Q: ag show that: coth's =ţ he (xal/, X-1

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Q: ~(QヘP)=P v~Q =P V ~Q ylgn ihi

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Q: AC) = -t+J At - t) sin rdt %3D OA. -t + OB. .3 -t 12 OC. OD. -t + O E. e -- 6.

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Q: (D² - 4D + 5)y = e¯*; yp a. Yp 10 b. y, =#e* 10 C. y, =e* 10 d. y, =e* 10

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

A: Given MA(3) process

Q: Suppose Cov(X,Y) = 781. What is Cov(4.5X, 7.5Y)?

A: The objective of this question is to find the covariance of the two variables 4.5X and 7.5Y given…

Q: dx S x(1+(lnx))²) 2.

A: This question is related to indefinite integration, we will solve it using given information.

Q: Suppose Cov(X,Y) = 546. What is Cov(0.13X, 0.41Y)?

A: The objective of the question is to find the covariance of 0.13X and 0.41Y given that the covariance…

Q: Suppose Cov(X,Y) = 419. What is Cov(19X, 71Y)?

A: The objective of this question is to find the covariance of the two variables 19X and 71Y given the…

Q: Compute Au, where A Au = = 1 (56) 4 and u= (9).

A: The simple matrix product..

Q: (22 + 3?) dx – xy dy = 0 O 22 In () = y² 2a In() = 3 (금) %3D 22 In(을) %3D P O a² In ( ) = y?

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Q: y? lim (х.у)-(1,0) х2 + у? — 2х + 1

A:

Q: (e") = :一

A: Our aim is to find the derivative of eπ i.e, ddx eπ =?

Q: Suppose Cov(X,Y) = 65. What is Cov(0.46X, 0.39Y)?

A: The objective of this question is to find the covariance of the two variables 0.46X and 0.39Y given…

Q: Suppose Cov(X,Y) = 821. What is Cov(6X, 4.7Y)?

A: The objective of this question is to find the covariance of the two variables 6X and 4.7Y given the…

Q: Show that 1 1 2 y? 2 = (y? – *)(2² – a²)(2² – y') 4,

A: We have to prove that  We will it by using the properties of determinants.

Q: sinh x 20. 1x1-3 A) 2. B)-2. D) 0.

A: