Find f(t). e *{! s(s+ 1),

Q: A container contains 35 green tokens, 5 blue tokens, and 3 red tokens. Two tokens are randomly…

A: There are total (35+5)=40 non-red tokens and 3 red tokens in the container.  And total (35+5+3)=43…

Q: 6. Use a substitution to find S (x* + 1)" z³dx.

A: Here we use substitution we find∫x4+111x3dxHere we substitute x4+1=du…

Q: 4. Let f-(x) = g(x) = x-5, k-1(10) + 7 = 10 and h(x) = then find: b. Domain of h(x). c. (hof)(2). (Z…

A:

Q: P(x) = . Let and let = 10. Find P(9) x!

A: We have to find p(9)

Q: Prove T(n)= 2T(n-1)+n can be in 0(n2")using represented telescoping method

A:

Q: 6. Show that =+ E-(-1)"(n+ 1) E)". when Iz – 2| < 2.

A: Seriese expansion

Q: Let X N(10, 23). Then P( X< 10) =

A:

Q: a) Let p=13. Compute L2(3) b) Show that L2(11) = 7.

A: Here concept of field is used.

Q: Evaluate х3 (x* — 1)3 dx x*(x* – 1)ª + C (x* – 1)* + C 16 4x4 (x* – 1)4 (x4 – 1)4 + C 16 + C 4

A: The given integral is; Integration of x3(x4-1)3.

Q: Convolution. Find the convolution of (a) Πα * Πα. (b) f(x) * ƒ(x), where ƒ(x) = e¯\ª\, -∞< ï<∞.

A: As per the question we are given two functions as: Πa(x) : the rectangular pulse function with…

Q: S Evaluate L-'{- | (s² + 144)(s – 8)

A: We have to evaluate  L-1ss2+144 s-8.   We know that L-1ss2+a2 = cosa·t L-11s2+a2 = 1a·sina·t L-11s-a…

Q: Exercise 4.7 Calculate the system entropies where I is the binary erasure channel (BEC), introduced…

A: To start, let's first define the system entropies involved in this problem. The entropy of the input…

Q: The table gives the number of books sold N(t) for a new novel t weeks after release at a certain…

A: Given that Nt denotes the number of books sold t weeks after the release for a new novel at a…

Q: Let f(x) 07 O O 11 - S x² + 1 4x – 1 - if x ≤ 1, Determine the value of (ƒ o f)(1). if x > 1.

A: The answer is in step 2.

Q: Let f(2) = (52² + 6)"( – 52² + 5) f'(æ) =

A: