(b) f(1) 18 (c) f(-1) (d) f(-3) (e) f(a)

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

A:

Q: P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05. What is P(A and B)?

A: Given that  P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05

Q: {(a) = 3(a + 2)² – 10 9(b)- g5(-2))-

A:

Q: (x y – z z + 3) +(y 4 3) = (4 8 16)

A:

Q: (1) (0) 2メー+3X+5 =D (b) -4 4 and jo 2 j13 (c) 442-5t+7 -D

A:

Q: 2(r+s) 98(t-5)2 7(5-1) 14(r+s)

A:

Q: proot p(cn ANB) - ecen B)-p(ANB) P(B) PCB).

A:

Q: (g) P(A)– P (B) (h) P(AnB) (f) P(A)n P(B) (i) P(A)× P(B)

A:

Q: b) (x-1)² 4 (y + 2)² 9 = −1 5 -5 5

A: This is the standard form of a hyperbola that opens up and down. Let's identify its properties…

Q: EVALUATE FOLLOWING TERMS    (A) 8P5  (B) 12P8

A: A) Consider, P58=8!(8-5)!    =8!3!    =8*7*6*5*4*3!3!   =6720 B) P812=12!(12-8)!    =12!4!…

Q: Find (a) ∣AT∣, (b) ∣A3∣, (c) ∣ATA∣, and (d) ∣5A∣.

A:

Q: (c) (2x² + 1)²

A: To simplify the  expression:2x2+12

Q: (z-1) If dz then A B = (2- 3)(2 + 7)

A:

Q: P(A)=0.39P(A)=0.39, P(B)=0.36P(B)=0.36 and P(AandB)=0.25P(AandB)=0.25.P(B∣notA)=

A: It is given that, P(A)=0.39, P(B)=0.36 and P(A and B)=0.25.Let AC be the complement od the event A.…

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

A: Dear student, since you have posted multiple sub parts, as per our policy we will answer first three…

Q: Suppose P(A) = 0.18, P(B)= 0.38, P(A | B) = 0.51 What is P(A and B)?

A: Answer: From the given data, P(A) = 0.18 P(B) = 0.38 P(A|B) = 0.51

Q: If P(A) = 0.5 and P(B) = 0.80, then P(A or B) must be 0.95.   TRUE or FALSE

A: From the provided information, P (A) = 0.5 and P (B) = 0.80

Q: (C) (1, 2, 1) (D) (1,1,1) (E) (-1/2,-1, –1/2)

A:

Q: Determine £1¹{F}. sF(s)-3F(s) = 2s +5 2 s² + 6s+9

A: Given  sF(s)-3F(s)=2s+5s2+6s+9⇒(s-3)F(s)=2s+5(s+3)2⇒F(s)=2s+5(s+3)2(s-3)Take Inverse Laplace…

Q: Evaluate: (Fn+2) + (F2n-3)2 - Fn3 when n = 9

A: First, let's talk about the Fibonacci sequence. This is a special sequence of numbers where each…

Q: Evaluate: -4 2 0 2 3 1 (a) 3 1 0 2 1 3 0 3 2 3 (b) 4 2 1 -5 - 1 t - 2 -1 -2 (c) 2 t - 3 | t +1 t - 3…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: If C(s)=16-2s2 then find a) C(3) b)C(-2) c)C(-1)

A:

Q: e (2e2r - dr 4e -1)" Good Luck

A:

Q: B=i-3)-k , A= 31-j+k ti-B+č=0 (C) asiall asaa

A:

Q: Does each of the following series converge or diverge? Why? Show all your work and MUST include the…

A: To determine whether the series ∑n=1∞​(3+8n2)(2n2+1)​​ converges or diverges, I'll use the Direct…

Q: p(a) = 0.65, P9b) = 0.56, P(a and b) = 0.4, find p( a or b

A:

Q: Simplify the following expression (a) k2+3k+5k-4k2-3ky+2y2 (b) 5(x+2) (c) 2x+3(x+2)

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 7

A:

Q: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

A:

Q: Find (a) ∣AT∣, (b) ∣A2∣, (c) ∣AAT∣, (d) ∣2A∣, and (e) ∣A−1∣.

A: Given

Q: 12. Find a normal vector n and an equation for the planes in Figures & (A)-(C).

A:

Q: 45 73 73 17 13 43 )0 (B) 2 (C) 7. (D) 8 (E) 9

A: We can observe that in left box there is 5 which is 4+1 of the right box. Hence similarly, X should…

Q: (d-b)(d+b)

A: Given,

Q: Simplify the expression x(t – 1)8(t+ 1). (a) (0) (b) x(-2) (c) x(-2)8(t+1) (d) x(0)8(t+1) (a) (b)…

A: The given expression is                                               x(t-1)δ(t+1). To simplify the…

Q: (b) y 4 X -2 4 -2 -4 y = 2. 2.

A: Given graph is:   To find the y.

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: 2. Evaluate g(b) = -b + 13 for g(-3)

A: Given: The function gb=-b+13, To evaluate: g-3

Q: d (c) (3x² – x)7² dx

A: The objective is to find the derivative.

Q: Why were the x and y terms broken down in the second line? 2(9)x and  -2(4)y

A:

Q: Use the following matrices and find an elementary matrix E that satisfies the stated equation. =( A…

A: The given matrices are:

Q: r(z) = 31* +41² + 71 + 4,

A: Express mathematically the definition of derivative. f'(x)=Lth→0f(x+h)-f(x)h Let the given…