d3y find 3 5) If y = 4x + z %3D dx3

Q: How many even 3-digit numbers can be formed from the digits 1, 3, 4, 8, and 9 with no repetitions…

A: Out of the total 5 digits 1, 3, 4, 8 and 9 given, the even digits are 4 and 8. For the 3- digit…

Q: 75 - 3.5y - 4y = 4y + 6

A:

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

A:

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 4. Determine (16-912) dt c4

A: We will solve the problem.

Q: 6/4 - 2/4

A: Explanation and solutions is given below.....

Q: 4n – 1

A:

Q: In Exercises 6–11, verify each identity. sec x 6. cos x csc x = cot x 7. cot x + tan x sin x cos x 1…

A: 6. We have to verify the identity cosx cscx = cotx   As we know, cscx=1sinx and cotx=cosxsinx

Q: a = 4

A:

Q: 5/14+1/6

A: 514+16=15+742

Q: 22n+1 3n+1 2.

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

A: We have to find the Laplace transform of given graph in term of unit step function

Q: Prove that the number of partitions of n into at most k parts is equal to that of partitions of n +…

A: given , number of partitions of n into k parts  we have to prove that , partitions of number n + k…

Q: find  3/4 + 1/8

A:

Q: 9/12+3/24

A:

Q: 16 2/5- 8 4/9

A:

Q: coefficient of variaton for given populaion   5,8,9,11,15,16,17,19

A:

Q: 42. The term that does not contain x in the expansion of 8x +

A:

Q: Expand (a −b)4

A:

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: 6 3/20 - 6 3/8

A:

Q: | (16 – 2*) dz =

A: To find : the value of ∫0216-x4dx   Using the formula ∫abxndx=1n+1bn+1-an+1

Q: (5/6)3

A: Cube means multiplying three times:   563=56×56×56=5×5×56×6×6=5363=125216

Q: 4) /

A: Using By Parts rule of integration.

Q: 1. Use expansion along the 3rd row -4 3 1 2 -1 1 7 5

A:

Q: How many different ways could you choose any 4 gumballs from the 25 gumballs in the…

A: We can choose 4 gumballs from the 25 gumballs in 25C4 ways.

Q: 3X 812x

A: To solve the following problem

Q: The expansion of 500P3 is

A: 500P3 is a permutation term that gives the number of ways of arranging different combinations of…

Q: -11/16 + 3/4

A: The given fractions are,