5-24 If x is N(0, 4) and y = 3x², find ŋ,,o,, and ƒ, (y).

Q: If u= (2, 1) and v= (4, –16), find 4u+ v. 4 Select the correct answer below: O (9,0) O (6. –15) О…

A:

Q: 3. Evaluate 1 2 SSx*y°dxdy 0 1

A:

Q: 5. Find the homogeneous differential equation whose general solution is y = 3 cos x - e³x/2 - 4x sin…

A: Note:-“Since you have posted multiple questions, we will provide the solution only to the first…

Q: 3. Given u =(3, 10,-8) and v = (-1,6,4), a) find 3v--u

A:

Q: 4. If u = (-3, 2), v = (-4, –6), find 4u – 7v %3D

A:

Q: A 2. Find the distance between (-1, -7) and (5, 9). O 2v13 O 2v73 O v22 O 2V5

A:

Q: 2. x = u² + 1, y = 4u² – 4u

A:

Q: If a = (-1, 1, 2) and b = (1,3,1), then which of the following gives |a - b|? Select one: O√9 O -√9…

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

Q: 4- Suppose that A = {x1 = (2,0,1), x2 = (1,–1,4), x3 = (-1,–2,1)} and B = {y, = (-1,0,2), y2 %3D %3D…

A:

Q: 10. Find a and ẞ such that c = αa + ẞb, where a = (-3,0,2), b = (0,-1,2), and c = (-6,5,-10).

A:

Q: Given i [2, – 5Jand i = [-7,2] find %3D b. ủ •

A:

Q: H.W 1. (xy' – y) cos (2) = -3x*

A:

Q: 7(x + 4) 2. 2(b – 3) 3. -4(y + 3) 4. -5(m – 2) 5. -(y – 9) 6. 8(-b

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: (2) Write v as a lincar combination of u₁, U₂, U3 if possible, where U₁ = (2,3,5), u₂ = (1, 2, 4),…

A: Given that,  V=(10, 1,4)  u1=(2, 3,5), u2=(1, 2,4) , u3=(-2, 2,3)  To find : a, b, c such that…

Q: 7) J(1, 1), K(3, 2), L(4, 1) and M(6, 1), N(5, 2), P(2, 1) 8) E(0, -5), F(-1, -3

A:

Q: 6. Compute 1,= de for p= 0,1 10

A:

Q: Compute gxxyz for g(x, y, z) = x²y³ z³. (Use symbolic notation and fractions where needed.) gxxyz =

A:

Q: Suppose ū = (-1,3,0) and v = (5, –2,5). Which of the following is 3v - u ? Select one: (-8,1,-5)…

A: given  u = (-1,3,0) v= (5,-2,5)

Q: (13r-7) (&r-2)

A:

Q: 5. Evaluate J2xdx, a, x' +c b, x+c C. 2x+c

A:

Q: 6. y = x and x = y² 2+ 1.5- 1+ 0.5- 0 -0.5 y = x x = y² 0.5 1 1.5 2 X

A: Given query is to find the area under the curve

Q: 5.1. Show that y2 , V2 , and v3 + V2 algebraic. are

A: We will use definition of algebraic numbers

Q: 4 If y then = 2_ and y

A: We have 4y=79 Taking cross multiplication 7×y=4×9 Divide both side by 7, we get y=4×97y=367

Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

A:

Q: 6. If -2 determine all values of x and y for which A= A.

A:

Q: 3. Consider A={m,a,t,h}; C={x:x=3n,1sns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n S6,nEN} What is ANB?

A:

Q: 13. Find B x A, if A = {0,1,2} and B = {a, b}

A: B×A={ (x,y) : x€B and y€A}

Q: \45° 30 y = :: 18 : 9/3 9/6 2 9/6 3 :: 9 :: 9/6 L - - -ר ::

A:

Q: 10 If a %3D (-5,-4, 3 ), b %3D (6,-2,-7), с %3D (-2, 2, 4 ) Find 2a - b-0.5 с ? ( - 15, – 7,11) о…

A:

Q: 6. b = 1+35 + 35, 5 +3 A, 5+3-1= B a. If (25)* = (125) then determine y: x b. Show that, b³-3b-6b-4=…

A: Note:- For this problem, you don't mention about "b" in part (b), Will i have to use values of b and…

Q: Find x, y, and z* 3.

A:

Q: 6. Suppose A = (3, -2, 4), B = (-5, 7, 2) and C = (4, 6, -1), find A × B.A+B-C.

A:

Q: 13. Find the intersection of [x., y.=]= [4,-2.3]+ r[1,–1,7] and| [x, y, =]=[2.-4,11]+ s[3.1,–1].

A:

Q: (:) If rank of A is r and if B : , then the rank of B is: C ar O b. 2r Od.0

A: Given, the rank of matrix A is r. Then we have to find the rank of the matrix B=AA.

Q: II. Evaluate the following. 2. z = (1+j)~j3 3. z = -j3(0.6-jo.8)

A: To Evaluate: z=(1+j)-j3