Question 5 (a) Find an equation of the curve that passes through the point (0, -2) and whose slope at (x, y) is 2y/x. (b) Solve the initial-value problem. 4xy' + y = 6x, x > 0, y(1) = 2. (c) Solve the initial-value problem. (Assume the independent variable is x.) y (0) = 3, y'(0) = 1. y" + 2y' - 3y = 0, (d) Solve the differential equation using the method of undetermined coefficients. y" + 2y' - 3y = x + ex

Q: Suppose P(A) = 0.57, P(B) = 0.20, and P(AM B)= 0.05. What is P(A| BC?

A: A and B with probabilities P(A)= 0.57 and P(B)= 0.20 P(A ⋂ B)= 0.05To find the probabilit P(A|Bc)

Q: 1. Find L-¹{e-³s} 5}

A: We have to apply the inverse Laplace transform of the second shifting theorem to find the solution…

Q: Suppose P(C) = 0.3 and P(D|C) = 0.8. Find P(C&D).

A: Given that,P (C) =0.3P (D/C) =0.8P (C&D) =?

Q: If P(A) = 0.3, P(B) = 0.3, and P(A and B) = = P(A or B) = X 0.2, find P(A or B).

A: we have probability of P(A)= 0.3 and P(B)=0.3 and P(A and B)=0.2

Q: Suppose Var(X) = 32, Var(Y) = 47, and X and Y are independent. What is Var(.15X + .85Y)?

A: Given, a  and . and  are independent random variables.It is required to find the .To solve this…

Q: If P(A or B) = 0.7 and P(A) = 0.44, and P(A and B) = 0.22, determine P(B)

A:

Q: if P(A and B)=P(A)*P(B) then P(A and B) cannot equal P(A)+P(B) True or False

A: It is given that  P(A and B) = P(A)*P(B)

Q: Let P(A) = 0.6 P(B)= 0.2 and P(AUB)= 0.7 Find P(AB) 4

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: p(a)= 0.7 p(b)=0.2 and A and B are mutually exclusive, find p(A and B)

A: Given that  p(A)=0.7 , p(B)=0.2

Q: IfP(A =0.3,P(B)=0.4andP(A and B)=0.7areAandBME?

A: The probabilities of the events are given as follows:

Q: d) Calculate (g o g)(3)

A: given,

Q: Expand and simplify    (i) (2k − 3)(k − 2)

A:

Q: nd the value of o(1999), p(101), p(243), 9(1998).

A: Phi function

Q: dx. Evaluate - 1)²(x² + 2) x+3

A:

Q: How was the S1 found on answer A?

A:

Q: Suppose Var(X) = 88, Var(Y) = 17, and X and Y are independent. What is Var(.28X + .72Y)?

A:

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: If P(A or B)=4/5, P(A)=2/3 and P(B)=3/5, then what is the value of P(A and B)? *

A:

Q: If P(A) =0.7, P(B) = 0.1 and A and B are mutually exclusive, find  P(A and B)

A: From the provided information, P (A) = 0.7, P (B) = 0.1

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: t(r) dr

A:

Q: *(2 + 16) (a + 8)(x + 4) 16 where z # a + 8 Submit Question

A:

Q: What is the value of (0.1)3 (20)3 ?

A: We have to find the value of: (0.1)3 (20)3

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

A:

Q: Suppose Var(X) = 43, Var(Y) = 36, and X and Y are independent. What is Var(.67X + .33Y)?

A: GivenX and Y are independentVar(X)=43Var(Y)=36

Q: (а) 3x< 5х—8

A:

Q: Suppose Var(X) = 4, Var(Y) = 78, and X and Y are independent. What is Var(.58X + .42Y)?

A: Answer: - Given, Var(X) = 4, Var(Y) = 78, and X and Y are independent.                What is…

Q: (507)10= ... Select one: a. (377)8 b. (327)s c. (773)8

A: To change from decimal to octal binary system, divide by 8 ,write remainder from bottom to up.

Q: Suppose Var(X) = 71, Var(Y) = 12, and X and Y are independent. What is Var(.59X + .41Y)?

A: The objective of this question is to find the variance of the linear combination of two independent…

Q: is incorrect

A: Answer p =90% =90/100 =0.90n =200

Q: 4. Find the first three terms of (3x – 2)20. What is the coefficient of æ10?

A:

Q: 15. For Sg, find (12)(245)?

A: Topic!  Permutations of Group.

Q: P(A) = 0.4 and P(B) = 0.6. If A and B are independent, what is P(A given B)

A: Given that A and B are independent. P(A) = 0.4 P(B) = 0.6