Question 12 Provide an appropriate answer. Find when r = 4 and s = 3 if w(x, y, z) = xz + y, x = 5 r+ 7, y = r+ s, and z = r- s. ,X = = 30 = 46 = 26 = 5

Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

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

A:

Q: 3 ve AB: BBT = ? A FIND 7. 4 2 OA) 2 -1 4 -2] OB) -2 1 [] --4 2° 2 1 OD) -4 2 OE) 2 -1

A: We have to find BBT .

Q: 6. If x = 2 and y =-3, what is the value of 2r-3ry-2y?

A: Given x=2 and y=-3We need to find the value of 2x2-3xy-2y2

Q: If x2 y? z=54, xy? z²=36, x² yz?=4, x² yz?=4, then find X+y+z.

A:

Q: Xi = 5,10,15,20,25, Yi = 125,200,300,400,500, Find: E-, 25 + X; /Y; i=1

A: Given data : Xi Yi 5 125 10 200 15 300 20 400 25 500 We have to find :…

Q: Ā = ë, + 3ë, – 2ẽ, -B*=? B = 4ẽ, – ë, Ĉ = -3ẽz– 5ẽ,

A:

Q: Show that fu,, u,) is an orthogonal basis for R?. Then express x as a linear combination of the u's.…

A:

Q: -2x - y - 3z = 3 2x - 3y + z = 13 2x - 3z = -11

A: We need to solve the system of equations -2x - y - 3z = 3               (i)   2x - 3y + z = 13…

Q: x then ux is XX If u = V y %3D

A:

Q: If LEFH= (2x + 2)° and its complement LHFI = (x+1)°, then what is the value of x?

A: If two angles are complement of each other,  then sum of both angle is 90°.

Q: 12) Зх - 5у%3D17 y = -7

A:

Q: If p(5, r)= 2. P(6, r -1), find r.

A: Given : p(5, r) = 2. P(6, r -1)

Q: 1.) 4D4 + 20D³ +35D² +25D+6)y=0

A: Given differential equation: 4D4+20D3+35D2+25D+6y=0To find: General solution.

Q: and y= If a = 3, then x =

A: Solve using the properties of trigonometric rations

Q: If x I y and y I z, then b

A: For the lines l, m & n, if l∥m & m∥n, then from transitivity rule l∥n.

Q: 4. mYU 108 mXW MXVW M, mYWU

A:

Q: -1.5x + 2.5y = 0.5 2x + y = 1.5

A:

Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: If B = exp(r - 2), what is VxB?

A:

Q: Find N2 A 21 N 2 p(v) B, ) = N`, p (ν) Β..) A 31 Haitha.

A: We have to separate N2 from the equation

Q: If = , where b + 0 and d # 0, then a · d = b•c.

A: Given: ab=cd, b≠0, d≠0 For prove given expression, we do cross multiplication and simplify it as…

Q: If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the…

A:

Q: What is the magnitude of a=?

A: a=<−1,0,2>To find its magnitude

Q: 3 4. Let A= 1 -2 find det(M21), (M= minor) 3 Select one: a. 8 b. 10 C. -10 d. -8

A: We need to find det(M21), remove the second row and first column from the given matrix then the…

Q: Find

A:

Q: j. Min Z = 12x, + 8x, subject to: 4x, + 2x, 2 24 2x, + 2x, 2 10 2x, < 8 X,, X2 20

A: To solve the Linear programming problem using the graphical method  Consider the constraints as…

Q: If YZ=25, ZC=50, and WY=20, find WC

A:

Q: If x = (3.4,-0.12, 4.17,-0.045) in R then -0.743L= a. -5.7471 b. 5. 1747 5.7471 O d. -5. 4771

A: