Let 1 A = 1 3 2, Find A- in terms of c.

Q: Let A = {x E Z: 8lx) and let B={xEZ:12lx}. Then BC A A=B O ACB O None of these

A: using the concept of set theory...

Q: Find R(t) if R′(t)=⟨1+2t,2e2t⟩ and R(0)=⟨1,3⟩.

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Q: Let A = {x E Z: 8|x} and let B={xEZ:12]x}. Then A=B АСВ B드 A None of these

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Q: That is, T'(1) = %3D

A: Given, a recurrence relation T(n) corresponds to the natural numbers, but that "skips" multiples of…

Q: If $ = 2xy?z + x²y, evaluate $ dr where C 3 from

A: Given, ϕ=2xy2z+x2y, We have to evaluate ∫Cϕdr where C(a) C is the curve x=t, y=t2, z=t3 from t=0 to…

Q: where C is rE by the lines X

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Q: Vx e Z, 3y e R, y² = x

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Q: Given F(r, s, t) = r(3s4 – 6t°), compute: Frst

A: This is a partial differential problem

Q: Let T: P2(IR) → P2 (R) be defined by T(p(x)) = p(x) – 3p'(x). Given that %3D - T(1+x + x?) = a + bx…

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Q: Given F(r, s, t) =-r(8s³ +t³), compute: Frst

A: Given  Fr, s, t=-r 8s3+t3

Q: Find the value of c such that P(Z > c) = 0.28 %3D O a. 0.3 O b. 0.58 O c. 0.85 O d. 0.22

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Q: Find the following in the form of x + iy 12 1. (1 + i)¹²

A: We have given that, 1 + i12 We need to convert it into in the form x + iy. Here , z = 1 + i in first…

Q: Solve the following B.V.P. utt %3D с 2ихx; { и(х, 0) 3D сos x - и (0) %3 0, и (2л) - 00<x<20 1, ut…

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Q: (a) Find x, y el such that x+y || x || .. = 1 = || y || = || ** ||**y. ∞o 2

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Q: 2. Find the correct value of c such that P (Z < c) = 0.4. %3D C =

A: According to the provided information, P(Z&lt;c) = 0.4

Q: Let a b A =| d f e i and 2g B = -2d -2e -2f 2h 2i 2a 2b 2c Given that det(A)=1/24, what is det( B-)?…

A: Let A be a determinant of the order: n×n. Using the properties of the determinants, it can be…

Q: Let A = {x E R : 2 < x < 3} and B = {r €R: -1<r< 2}. Prove that |A| = |B|.

A: To prove this result we first show a objective map from [-1,2] to [2,3]. Then (2,3) is uncountable…

Q: Let X P(A) and E(3x)= E(2– 6x) find a.

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Q: Given F(r, s, t) =r(3s² + 9t°), compute: Frst

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Q: f(x) = D, = R/{1,–1} 3 %3D %3D :Select one True False

A: Given function f(x)=3x2+1

Q: Let A = {x E Z: 8lx} and let B={EZ:12lx}. Then None of these ВС А O ACB O A=B

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Q: calculate r'(t) and T(t), and evaluate T(1). r(t) =〈4t^2, 9t〉

A: Given: r(t)=4t2,9t By differentiating, r'(t)=8t,9 At t=1, r'(1)=8(1),9=8,9

Q: let r (t) = The y component of r' (5)

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Q: 0 ≤t≤ 27, then C F. dr = 0.

A:

Q: Find all numbers z such that Az + Bz² + Cz = D [2 4 21 li 3 B=[i 1 1. A = -2 -1 [2 4 2] C = 1 3 1 -1…

A: Find all numbers z such that Az3 + Bz2 + Cz =D Given matrices,                              A=242131…

Q: Given F(r, s, t) = r(3s² + 3t²), compute: Frst

A: Solution of question is written in below steps.

Q: Calculate the value for ∑j=3 to 7, (3j-2)

A: To calculate: The value of ∑37(3j-2)

Q: Let z=xin(x2+y2-e4)-176xy, x=te, y=est, If the value of z when s=2 and t=1 is equal to Ae?+Be4, then…

A: Explanation of the answer is as follows

Q: Given that D/d = √f + p/f – p, express p in terms of f, d and D

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Q: F. If F = CC) + 32 then 65 °C = %3D %3D

A: We have to find the °F

Q: e that M{(1 + xa)-b; p} = %3D

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Q: dt Determine dw if t = (6r* +3r*) -(*+2r-5)'. -s)'. and w =

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Q: Determine that; 2+ni/ mi/a = (1+ i) i. 2+7 ii. eiy+2ni+x = ez

A: As per the instruction, we will be solving only the first question. For (a), (i),…

Q: Evaluate F· dī where C F = = , and C is given by - T(t) = , 0 < t < T 0 <t<

A: Given

Q: Let a,b be constants, a 0. If Y = aX +b, show that p(X, Y) = lif a > 0 p(X,Y) = –1 if a < 0

A: It is given that Y = aX + b We have to calculate the correlation coefficient between the variables X…

Q: Find those constants a, b, c, d such that f(z) = ax² + bxy + y² + i(x² + cxy + dy?)

A: The given function is : fz=ax2+bxy+y2+i(x2+cxy+dy2)

Q: Classify the following difference equations to be either regarded as first-order or not, and also…

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Q: Solve for x, where u = (1, −1, 2), v = (0, 2, 3), and w = (0, 1, 1). 3x + 2u − v + 2w = 0

A: The given vectors are Let the vector x be

Q: Let T ∼ Γ(r, λ). If μT = 8 and σ²T = 16, find r and λ.

A:

Q: Find all values of x so that v · v = 1, where

A: Given vector, v=12-12x That is v=12i-12j+xk

Q: If f(s,t) = 2scost + 3tsins, find ,.

A:

Q: Show that || Ar +b|3 cTx +d f(x) = {x |c"x +d > 0}, where A E RmXn, bE Rm, c€ R" and d e R.

A: As per the instruction, we will be solving part (b) of 3.23. We are given the function…

Q: find do if yot' and both de and h = X

A: We will find the derivative.

Q: Letf e C [a, b], then f(t)dt = F(b) – F(a) False True

A: f∈C^2[a,b] means that f:[a,b]→R is a function that is twice differentiable with each derivative…

Q: Find AT, ATA, and AAT.

A: Given: A=13-1

Q: If A= A(t) find the A? m d²A RT dA =-37cr dt 2 dt? n

A:

Q: Let R=[0,1]x[0,1]. xy3 dA= R.

A: Let's find.

Q: Find AT, ATA, and AAT.

A: Given: A=3-120 we know that for given matrix X=abcd , XT is given by XT=acbd similarly, AT=32-10

Q: Let Find in terms of x and y. x=1+3a+6a² +10a³+, |a|<1 y = 1+ 4b+10b² + 206³ +.., |b|<1…

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