6. If o= (r x a) (rx b), show that Vo = bx (r x a) +a x (r x b)

Q: Suppose that X, Y C U. If Pr(X) = 0.3, Pr(Y) = 0.32, and Pr(X n Y) = 0.08, what is Pr(X' U Y)?

A: Given :  X , Y ⊆ U . P (X) = 0.3 , P (Y) = 0.32  and P(X∩Y) = 0.08 .  To find : P (X' ∪ Y) = ?   The…

Q: 8. Given that r || s and transversal t, 21 and 26 are supplementary.

A:

Q: O s/Vn 12

A: The standard error is denoted by SE

Q: af Find ar ar and ax' ay az 38 Ах, у, 2) x² + yZ + z? af ax ar ay af az

A:

Q: If z = eax + by f(ax – by) then bE+a ôx is a. abz b. 2abz с. Заbz d. -abz

A: Consider the following equation: z=eax+byfax-by Differentiate z with respect to x taking y as a…

Q: 2. Show that c(x, t) = solves 1 ac(x, t) 2 ax ac(x, 1) ar

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Q: iF Zz fexiy) where R= ě- ě Gud ge ě- ě show That!- +y5= (e-ぎ)( - 24

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Q: If h(x) — За — — 1, j(x) k(x) = 21x? – 26x – 11 , show - 7x + 11 , and - - - - h(x) · j(x) = k(x).

A:

Q: 10) If 1+ abt = c where a, b, and c are positive, determine the value of t. %3D

A:

Q: Let a2 + y2 + z2 = 3ryz, then which of the following is 一

A:

Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: 2. If y = x2 + 2 and u = 2x – 1, then du II

A:

Q: a²z If z = In(x² + y²)., find ax2 ay?

A: Here we have;  z=ln(x2+y2) ...................(1) partial derivative with respect to x

Q: Suppose that x̅ = 12, Sx = 2, and z is 1. what is X?

A:

Q: If xly then gcd(x,y) = y. إختر واحدا:

A:

Q: 2) Show that (1 – x²)P",(x)P'm(x) dx: 21(l + 1) Sim• 21 + 1

A: Given:-  ∫-11(1-x2) p'l(x)p'm(x)dx=2l(l+1)2l+1δlm

Q: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: 5. If z = In , then determine if the following statement is true or false. Justify your answer. a²z…

A: Solve the following

Q: show that Ф (x, y, z) = аф PDE : агф дуг + дуг I х2 +у2 +Z2 024 072 satisfies the

A:

Q: 4. If /(r.y)=- , find f, and f,. V+y

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Q: af (8,9). Let f(x,y)=x?y*. Find ду

A: We are given: f(x,y)=x2y4 ⇒∂f∂y=x24y3=4x2y3

Q: 5. If z = In then determine if the following statement is true or false. Justify your answer. + y…

A: We will find whether the statement is true or false as following.

Q: o Evaluate , S, Só (x – 2y + 2z)dz dydx.

A:

Q: Q.8 If v = (x² + y² + z?)¯/2, prove that a2v + ду? = 0. ax2 az2

A: We find second  the partial derivatives lf given function with respect to x, y and z and then add to…

Q: Prove Va e Z, Vb e Z, 3|(a² + b² ) – 3|a ^ 3|b where xy means x divides y, i.e., there exists k e Z,…

A: In this question we use congruence modulo.The following  are useful in this question1) If  3 |…

Q: too x(Ju) - xt) e ot * the famer heansfarm ナR X( Jw) Sen %3D

A: Fourier transformation of a function x(t) will be X(t) and inverse Fourier transformation of…

Q: 4. Show that (1) SST = Cu – 9)* = vy - ng = v (1. -) (2) sSR= Em – )* = ³ X'y – ng° = v ( H - )v (3)…

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

Q: 2. If u = x + y + z' - 3xyz, find the value of x- +y+z

A: To find the partial derivative of the given function u(x,y,z)

Q: 2. If AWXY~AVTU find the measure of ZT. W (2r-2) (8x- 7) Y (3r - 6)

A: Given  ∆WXY~∆VTU To find ∠T

Q: Given: 5x+4y= 24, x + 7y= 11; Prove: y = 1

A:

Q: Fird XCK) is X(2) = 2くz-)(マ-3) Ans; SC) ャu(k)+と)uck)

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Q: 2. Determine Var(Y) when Y 3X1 +2X2 with Var(X1) 1, Var(X2) 5, Cov(X, X2) 2, E X1} 3, аnd E{X} 4.

A:

Q: 3. If z = f (x, y), where x = e“ – e® and y = e® – e", show that UTM UTM az az UTM X : az - ду dx…

A:

Q: (6) If w = f(u, v), where u = x + y and v = x – y, show that = 2 ди

A:

Q: 3 1-Vy dy 2 2у3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 2. (Z, * ) where * is define by a * b = a - b.

A:

Q: 1. Is the following always true? If yes, clearly explain why. If no, give a specific counterexample…

A: Note: AS per our guideline we are supposed to answer only one question. Kindly repost the other…

Q: 21. Find af and of if f(x,4)= 3x" +2xy+ Sy , x= 4v? + Bn", and u 2v-w? Vour %3D 4= 2v-w? Vour av…

A: We have to check

Q: If In(ax)dx = 2, then a = %3D 1

A:

Q: Show that if 0 <y<1, and Y ~ N(0,1), we have that 9 6 3 P\Y + %(x² – 1) < =] × + (V +1). -

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: . If 4=(x+2y+az, bx-3y-z,4x+cy+22) is irrotational. Find constant a,b,

A: Follow the procedure given below.

Q: Prove false by creating a counterexample: P(AUB) S 9(A) U 9(B).

A:

Q: 4. Now, determine the value of c in (0,1) such that f'(c) = 2 fx) =4x

A:

Q: 7) If z(x,y) = x² + y², x=u+v, and y=u-v, find dz du

A:

Q: 13. If w(x,y) = In(1+xy²), show that 2wxx + y³Wyx = 0. %3|

A: Given: w(x, y)=ln(1+xy2)  To show: 2wxx+y3wyx=0 Chain rule : ddx(f(g(x))=f'(g(x))g'(x) Quotient…

Q: If θ̂ is a point estimator of θ, prove that MSE(θ̂) = V(θ̂) + (B(θ̂))2

A: We have given that θ̂ is a point estimator of θ. We know that  MSE(θ̂) = E((θ̂ - θ)2 )

Q: 1. Use substitution technique to show that ++x+2+x- v2 +C dr 1 In rV+r+2 +x+2+r+ V2

A: As per our guidelines we are supposed to answer only one question that is the first question. For…

Q: 2. In AXYZ, PQ || XY . If XZ = 15, YZ = 12, and ZQ = 8, what is ZP? 2.

A: Use concept of similarity. In similar triangle, ratio of corresponding side are equal.