Question 16 3 In?x + 1 Evaluate x (In3x + In x) 1 In lin³x + In x| + C A +x, B In in?x + 1| + C © 3In |in³x + In x| + C D In lin3x + In x| + c

Q: of Easte 3 5² +45+13 ی ]

A: Some of the properties of inverse Laplace transformation are…

Q: 5 ¹ (²³) = O t^(6)/36 O t^(5)/24 O None of them O t^(4)/6

A: The given inverse Laplace transform is .We have to find the inverse Laplace transform.

Q: to

A:

Q: (6^2 - 3^3) ÷ 2 Show work!

A: The given expression is 62-332

Q: 2 +3" En=D0 %3D 5n+1 Select one: O True O False 5/56

A:

Q: n>=0

A: According to the question,    False. This statement is not true for all integers n >= 0. A…

Q: how many different bases can R^2 and R^3 have?

A: Explain about the count of number of bases of ℝ2 and ℝ3.

Q: prove that 3^n is greater than n^3 for all n greater than or equal to 4

A:

Q: (- 1)" _ 3 En=0 'n =D0 3" 4 Select one: True O False

A:

Q: What is the tabular form of { x | x is an integer and x^2 – 1 = 0}? (Note: ^ means exponent or…

A: topic - sets

Q: -1 1 x+1 coth - In X = 2 x-1

A: We have to prove coth-1x=12lnx+1x-1

Q: (a) Given that A= 1-2 1 3 5 0 2 and B = -3 4 06 1 2 -1 3 " determine

A:

Q: Expend (I+x)

A:

Q: Suppose a,b,n are integers and n>0 s.t. 63a^5b^4=3575n^3, what is the smallest possible n. Explain…

A: The objective is to find the smallest value of n such that 63a5b4=3575n3.

Q: What is the coefficient of x^4 in the expansion of (-1+ x)^11

A:

Q: Express x8 - x as a product of irreducibles over Z2.

A: The given polynomial x8-x. We have to write the polynomial as a product of irreducibles over ℤ2.

Q: Prove that m^3 + 2n^2 =36 has no solution in positive integers.

A: Prove that  there is no solution for positive integers.Let if for for

Q: let s be positive integer, then (2) + (;) = %3D

A: sC5 = s!/5!*(s-5!) And sC6 = s!/6!*(s-6)!

Q: 2. Show that if a]b then a'|b² for all integers a and b (Symbols V, 3, A, V, V,A,→,-)

A:

Q: i+?) tan'군 %3D

A: We have to prove following identities

Q: Ifx+y+z= 1 and x, y, z are positive, then show that ( 1)² ( 1)² ( 1)² 100

A:

Q: Approximate the value of In (1000!)

A: Given that ln1000!. The objective is to approximate the value. The expansion for…

Q: 3 4 Evaluate [, S* 2dydx

A:

Q: why/where/how does the 1 and the 0 about from at the end of the last few steps?

A: By Leibniz rule for differentiation under integration sign is given by, Here we need to…

Q: tan (7)sec (7ar)dar 8 Evaluate + C Question Help: Message instructor > Next Question

A:

Q: Assume that n ∈ N. Prove that if 3|(2n + 1) then 9|(10n^ 2 + n − 2).

A: