1 2 1 2 3 B -1 1 Let A -1 2 4 5 2 1 1 3 4 13 D 2 17 Which one is true? yr?) D = 2AB - C O D = AB + 2C %3D O D = AB + 3C

Q: HW 2: If Z - N(0,1), find a) p(Z > 1.2) b) p(-2 <Z< 2) c) p(-2 <Z < 1)

A: If Z~ N(0,1)   which means clearly it is standardized normal distribution table.

Q: HW_2: If Z - N(0,1), find a) p(Z > 1.2) b) p(-2 < Z < 2) c) p(-2 < Z < 1)

A: Solution

Q: 2. s - [GpAq)Ar] = a. 7 [(pV7 (qAr)) As] b. (pV7 (qAr)) As с. (pV (qAr)) d. None of these

A: The given question has been solved with explanation in step 2.

Q: 5. (2D² + D² – 3D)y = 0 -3x a. y = C, + Cze¯+Ce¬* 3x b.y = C, + Cze + C,e* c.y = C, + C;e+ C,e* d.…

A: Solution )

Q: 2 13 y+y+y%3Dx"+4X+12%

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Q: 33 39 a) X =7 b) XG=7 %3D %3D 45 c) SS>? 56 6 0 d) V =D 6 5 e) S=? 2 %3D

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 0.1 0.7 D C B 0.8 D Outcome P(A n C) P(A n D) %3D P(B n C) P(B n D) %3D

A: Given Data: From the figure, PA=0.7PC|A=0.1PD|B=0.8 The probability of event B is, PB=1-PA=1-0.7=0.3

Q: 1. (2л + 5у)dA %3D? D YA (0, 4) у 3 (x + 2)2 X = y - 16 D (-2, 0) (0,-4)

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Q: Vn E N için, 1.5 + 2.5² + 3.53 + ...+ n. 5": 5+(4n-1)5n+1 %3D 16 dır.

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Q: 11. (D* – 16D²)y = 0 a. y = C, + C2x + Cze¬4* + C,e¬» b.y = C, + C2x + Cze** + C4@4* c.y = C,x +…

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Q: r r 2r p 2r 3r p 2r 3r 4r .. .. .. m 2m 3r nr Show that S 1 and 0 < r < 1. [Hint: E, iri < (1-r)²…

A:

Q: Ho:p = 0.5 Ha: p > 0.5 Which of the fo Select one:. a. Zc = 1.6 %3D b. Zc 0. %3D C. Zc = 3. %3D d.…

A: It is known that for a large sample size, it is more likely to get a large test statistic.

Q: 3:30 A3. If y = e2x+5 then y' = %3D LA) 2e2x+5 (b) e2x+5 (c) 5e2x+5 (d) e2

A: Given query is to find the derivative of the expression.

Q: 20. AB = 20, BC = 7, and CD = 6, find the value of x. %3D %3D %3D D. B A A. 31.5 В. 23.33 C. 25.5 D.…

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Q: a C Let A = d e f, and h 3h B 2d 6e 2f Suppose that det(A) = 2, a 36 find det((AB)"). (a) 24 (d) -…

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Q: 6x) 0<x<1 S(x)%=D , then p(x<1) is (a) 1 (b) 2 (c) 3 (d) 4 (c) None of these

A: It is an important part of statistics. It is widely used.

Q: p = z, 39 = zy a 2y(z- 3)p+ (2x- z)q = y(2x- 3) %3D 1

A:

Q: [2 1] Q2) Assume A = 1 3 [3 4 T2 4 and B = show that (AB)' = B' A' %3D %3D [3 6

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Q: Given 3 2 SSS 0 0 0 Then, A = Blank 1 and B = Blank 2 C = Blank 3 and D=√4-x² E = Blank 4 and F =…

A: To Change the order of integration from dxdydz to dzdydx

Q: If C:7 (1) = (1+t,1-?), -1sts2 and g(x.y)=2xy+x+y+2, then g,(x.y) dx + g,(x.y) dy = a. - 17 Оь. — 18…

A: We have -  g(x,y) = 2xy+x+y+2

Q: Ir If z = f(x- y), then of df дх ду 1 -1 12 O 5

A: → Use chain rule of differentiation.             ∂(f(g(x)))∂x=∂(f(g(x)))∂(f(x))×∂(f(x))∂x→While…

Q: W is between X and Y on XY. WX = x + 10, WY = x-6, and XY = 10. Which of the following equations…

A:

Q: a)ex? +c Choose the correct answer: 1- fx ex? dx a)ex? + c b) 2e* + c + c 2-Sdx : а)x b)1 3- S V(x*…

A: As per the guidelines we are solving first 3 sub-parts.Please re-post other questions.

Q: Let C: z-i=9. Then ſ. 1-z dz z(z+1) a) 0 b) 2ni с) —2лі d) 4ni e) — 4пі f) 2n

A:

Q: 3. If f f(x)dx = 7, then , (2f(x) + 5) dx = %3D %3D (A) 14 (В) 19 (C) 24 (D) 29 (E) 57

A: Integration.

Q: a b c If d ef a +2d b+2e c+2f =5, then %3D hi 3d 3e 3f A) 15 В) - 15 C) 10 D) -5

A:

Q: = 24 -c 9 29= 243-6 – 342 > g = -3 - 290+ 342 %3D %3D Differentiate betheides with Jeefect to h, we…

A: It is here given an expression i.e., 2g+3h2=2h33-6

Q: (a) |z – 1+ il 1

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Q: If y = e3+, x = 0 when z = 1, z=1 z=1 = 3, then what is z=1? dy |3D O 1 O 3 O 21e4 O e30 O 19e30

A:

Q: XҮ — 42 Given 3(n + 4) XZ + ZY = XY а. ? 3(n + 4) + Зп %3D 42 b. ? Зп + 12 + Зп %3 42 с. ? 6n + 12 =…

A: Solve the given equation

Q: 4. 10 5. 6. A. x? 4 y? 1 y? 1 4 16 C. 4y? – 22 1 D. x? 4y? 1 %3D E. y? -4x2 1 y? F. 4 16 || |||| B.

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Q: If f(1) = 4, f'(1) = 2 and g(x) = lInf(e*), then g'(0) is : %3D %3D %3D А. О в. O C. 2 С.2 D. 1 18…

A: Given: if f1=4, f'1=2 and gx=lnfex To Find: g'0 Concept: (i). Chain Rule for…

Q: m +n - p = ? AB = C [bij (n+2)x(p-1) C= [cij] 3×4 'for matrik B = A= [aij] (m-1)×3´ O A) 4 OB) 0 OC)…

A: Just I have used the rule of product of two matrices and then easily find the required solution.…

Q: dz 4. Let r - y – 23 = 6ryz, then the value of is dr %3D 22 + 2ry (d) 코- 2yz 2 + 2yz y? – 21z (c) 22…

A: We are given: x3 -y3-z3=6xyz we need to find the derivative of z with respect to x. This can be done…

Q: (a) P(Z 1.72) = 0 %3D (c) P(-0.67 < z < 2.20) = D %3D

A: Reviewing information, Z : Standard normal random variable

Q: 2 2xy) dy, v es (0, 0), (2, 0), (

A:

Q: x?y" + xy' + Ay = 0, y(1) = 0, y'(e) = 0 d, = n = 1, 2, 3, ... o(x) =| n = 1, 2, 3, ...

A: Step:-1 Given differential equation is x2y''+xy'+λy=0, y(1)=0, y'(e)=0 Let  x=ez--(a) then…

Q: 10 1.0 10 1.0 | 10 -10

A: To determine the equation of the hyperbola.

Q: ædx + ydy = (x² + y³)dæ a² + y? = Ce?= a² + y} = Ce=2s Option 1 Option 2 1 In (a² + 3°) = C in (z* +…

A:

Q: Given A= 3cosoà + 5sinoŷ, the value of A. ø at point P(1,70°,0) is dA dø %3D О a. 3.23 O b. 7.11 Oc…

A:

Q: HW 2: If Z ~ N(0,1), find a) p(Z > 1.2) b) p(-2 < Z < 2) c) p(-2 < Z < 1)

A: Given: If a standard normal variable Z follows a normal distribution with mean 0 and standard…

Q: 2 +3 z4 – 222 +1 +e/dz, C: |z- i – 1| = 2, CCW. 8. Evaluate C

A:

Q: Given that z=5cos ( 3x+ 3ct) +e*+ª. Which ONE of the following statements is TRUE? O A. d2z dx2 O B.…

A:

Q: 3. (36D² – 60D + 25)y = 0 5x a.y = Ge+ Ce 5x b.y = Ce+C,xe 5x c.y = C,xe + Cxe 5x d. none of the…

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

Q: L O B = 4 If A = | 3 3 V E C = 0 1 Find the value of L,0, V, E if AB= C. -1/3 4/9 С. 1/3 4 4 -1/3…

A: Using matrix multiplication &amp; equality of matrices.

Q: 9. [y+xy?)dA, R = {(x, y): 0 < x < 2, 1 < ys 2} %3D

A: Definition used -         ∫∫Rf(x,y)dA=∫ab∫cdf(x,y)dydx

Q: 2. 2 +3+5t t(2n-1)=h(2n-1s (2nt) %3D 3. for all nz I

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Q: 2) find "c" s.t P(S? < c) = 0.95 if X:n(u, 12),n = 6, X2 = 11.10. %3D

A:

Q: a) P(X = 5|n = 9,p = 0.50) P(X = 7|n = 15,p = 0.60) b) %3D %3D c) Р(X S 31n 3D 20, р %3D 0.05)

A: