The table below shows the values of ev* given to 4 significant figures where appropriate. e√x 0 1 0.25 1.649 0.5 2.028 1 Love 0 Use the trapezium rule with 4 intervals to find an approximate value of 0.75 2.377 √x dx. 1 2.718

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: 4 2 G F -8 -4 -2 2 10 -2 -4 E 10 K 00

A: Formula for area is length multiply by breadth. Similarly for square its a^2 if side of square is…

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: 1/3+2/9

A: Given 1/3 + 2/9

Q: b. N(0)

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

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

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: 7 items chosen 5 at a time

A:

Q: 4n – 1

A:

Q: 6 2/5 + 1 3/10

A:

Q: 1. O O O O lim (In(x))* ? 5.

A: Consider the given expression. y=limx→0+lnxxx Take ln on both sides of the equation.…

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

A:

Q: 4 3/4 - 2 5/6

A: Given that the expression is

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: factors of 20 that add up to 9

A:

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

A:

Q: Find the derivative of y = 5x²sec 1(2x-3). O y'= 10x sec-¹(2x-3) + O y'= 10x sec-¹(2x-3) + O y'=…

A:

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

A:

Q: There are 1/8 blue balls, 1/4 green balls, 1/12 red balls and there are 26 white balls. How many…

A:

Q: 1/5 + 1/10 + 1/15

A: Sum of numbers

Q: 6 3/20 - 6 3/8

A:

Q: (1– 3csc(

A:

Q: 1 3 8.

A:

Q: 5. Find the coefficient of a¹¹b4 in the expansion of (a + b)¹5.

A:

Q: 29 Using the combination formula expand (5+x)

A:

Q: d²y 1. Find dr² where y = (5 – 3x + 2x*)-4. Do not expand the obtained answer.

A:

Q: Compute the indicated product.   -1 3   9 2 0   3 9 3

A:

Q: 4 1/2 +6 1/5=

A: We have

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

A: