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: Evaluate T(n) and O(n) for the n = 84 and n = 2100.

A:

Q: ii Sketch y = f(x), y= f¯'(x), and y = x _on the same set of axes.

A:

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: 2+5+8+11+...293

A:

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

A: Solution

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: H={74,75,76,...,280} n(H)=

A: We are going to use basic counting principal to find n(H)

Q: Determine the equation of the hyperbola, h(x).

A: Equation of hyperbola: The equation of hyperbola center at (h, k) and semi-axis a=b=2A is given by,…

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

A: Phi function

Q: 3. V(3437)3 + 10215

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Q: 2(-ャ) n=2

A:

Q: 9=a(0)2+b(+c 17-a(82+ b(8)+C 18=a(18)2 +b(18)+C

A: Solve the equation to find a,b,c

Q: Prove that (A-1)-1 = A. %3|

A: Let A be inverse of matrix A. Then, by definition We know that

Q: ((6 – 9) - 3) + ((-8) +(-1) + 6)

A:

Q: let B= [-1 2 7 -3] Find -3B

A:

Q: S- xp

A: Given : ∫x2x2-a232 dx To find : Evaluate the given integral.

Q: Suppose P(A) = 0.6 and P(B| A) = 0.4. Find P(A&B).

A:

Q: S,(3x2 – 2x + 1) dx

A: We know the integral formula, ∫xndx=xn+1n+1+C

Q: -6 (0 Find A-' if A 2 -4 -3 10

A:

Q: (e) ap: (2² – 8)5

A:

Q: If P(A) 0.3 , P(B) = 0.8 and P(A or B) = 0.9 Find P(A and B).

A:

Q: (n+3)!

A: (n+3)!/n! =(n+3)(n+2)!/n!

Q: Let ā = (3, −7, 6) and b = (4, 4, 8). b) b) x (a + b) a

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: Suppose P(A) = 0.76, P(B) = 0.12 and P(A or B) = 0.54. Determine P(A and B).

A: The information provided in the question are as follows :- P(A) = 0.76 P(B) = 0.12 And P(A or B) =…

Q: Consider sin(-5x-) TT y = 2-4 sin Identify the properties below. Whenever necessary, type as pi. 1.…

A:

Q: If A={1,2} and B={a,b,c}, find: I. A*B II. P(B) III. n(P(A))

A: A={1,2} B={a,b,c} A*B={(1,a),(1,b),(1,c),(2,a),(2,b),(2,c)}     2)P(B)={…

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

A:

Q: Show that 8 = [(AB) (aß) – (AB) (aB)] %3D

A: ANSWER: For the given data,

Q: (d) 2.46 (е) —0.10

A: Answer- Given null and alternative hypothesis                H0 : μ = 5                H1 : μ > 5…

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: 6（c)(d)

A: We shall use the properties of homomorphism to solve this question

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: Assume that P (A n B) = 0.25, P (B) = 0.65, and P ( A 0.15. Find P (A).

A:

Q: 1) (-2) + 3

A: Solving this we have