6. Use Parg or Pg-3 (you have to pick the right one!) to transform the following function as a linear combination of functions in C. 1+2 cos(t) +4 cos (t) + 8 cos (t) + 16 cos“(t) + 32 cos (t) + 64 cos®(t)

Q: x (t) = 2sen (nt) + 3sen (nt) + 4sen (nt)

A:

Q: b) f(x) = sin(2(x + 60°)) + 3 f (x) = sin x f(x) = sin(2(x + 60°)) + 3 %3D 3.8 90° 90 180° 180 270°…

A: f(x)= sin(2(x+60°) +3 For finding value of f(x) at x= a find f(a)

Q: Which of the following is NOT an even function? O y = (x - 5)* O y = |a| Oy = 4 - a O y = 3x?

A: For an even function f(-x) = f(x). Check the each options.

Q: 11. What is the second term of (m + n)? O 125m*n O25m'n O25m O5m*n 12. One zero of flx) =x' + 2x-…

A: Solution: (m+n)5

Q: Eliminate B and a from the relation. x = B cos(mt + a) *+ 2wx = 0 O * + w?x = 0

A:

Q: 3 y = -sin 3(x - 5) + 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +…

A:

Q: (b) Use induction and the Product Rule to prove d. -I" = nr"-1 for all n E No.

A: First principle of mathematical Induction : Suppose Pn is any statement dependent on n  where n∈ℕ .…

Q: 6. Evaluate cos(- ).

A: Givencos-1(-32)

Q: Show that if an = 3n3-17n2 + 2n-6, then an = Θ(n3).

A:

Q: 'dk= (b-o) Bip+l, 9+1)

A: We have to solve given problem:

Q: 6. Use Pg4 or P¢-a (you have to pick the right one!) to transform the following function as a linear…

A: Given: B=1, cost, cos2t, cos3t, cos4t, cos5t, cos6tC=1, cost, cos2t, cos3t, cos4t, cos5t, cos6t

Q: 7. Find the equation of a quintic function with zeros 3, - 2 (order 2), and 2 (order 2) that passes…

A:

Q: cos° (nt)dt

A:

Q: 1 1 d [x] d [y] Cos

A: To evaluate ∫01∫y1cosyxdxdy Let I=∫01∫y1cosyxdxdy By changing order of integration, it becomes…

Q: (c) cos(t+ T/4)8(t) (d) (t+1)8(t)dt + 1)8(t)dt (e) (t – 5)dt +1

A: (c) Concept Used:-δ(t)={0if t≠0∞t=0Consider cost+π4δ(t)=cost+π4.0t≠0∞t=0Hence cost+π4δ(t)=0t≠0∞t=0

Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

A:

Q: Compute | cos z dz. cos z +C 3 cos a + sin z +C 3 sin r + cos x +C 3 Cos x - sin I sin z + 5 sin x…

A:

Q: Evaluate fa² tan³ (2³) da + C

A: To integrate the given  function.

Q: Evaluate [ cos5x + cos4x 1. 1- 2cos3x

A:

Q: Evaluate cos(0) when 0 %3D

A: To evaluate the value of cos theta.

Q: (3–x*) ane d 2x. Calculate the Wronskian of functions

A:

Q: The f sec$30 sin 30 d0 is {A} sec*30 + C 12 {C}-cos*30 + C {D}cos 30 + C 12 {B} sec 30 + C 18 18

A:

Q: %3D O 3. Find the first 3 iterates of the function f(x) = -2x+ 3 when xo = 0. O 1, 1, 1 O -2, 0, 2 O…

A: Iteration formula problem.....

Q: Are functioNS fax) - inverse of e ach other and ga) %3D %3D

A: f(x)=x2+xg(x)=2x1-x

Q: Evaluate L{3e cos 10r cos 41. S+1 s+1 A. 2 (s+1) +16 (s+1) +100 S-1 S-1 B. 2 (s-1) +16 (s – 1) + 100…

A:

Q: + q on At the point shown on the function above, which of the following is true? Of'>0, f" 0 Of' 0,…

A: Given query is to find the correct option for the function.

Q: : [5 cos(5)r – 3 csc²(x) ] dz =. Evaluate: O sin(5z) + 3 cot(x)+C O sin(5z) + 3 tan(x) + C O -…

A:

Q: The annihilator operator form for the function e + cos(2x) is:

A: The annihilator operator form for the function ex+cos(2x) .

Q: If x(t) = 0.886 +3 cos (5wot) -sin(6wot) , then an , bn a0 5,-1, -6 O 0.886,-1,-6 O 5, -1,6 O…

A: To find the correct option

Q: The functions cos r and cos- are linearly dependent (0, ) on

A: evident from the two curves that after zero in a positive direction the two graphs coincide with…

Q: Find the inverse LT of: F(s) = 28+16 g2 -16 cos 4t – sin 4t cosh 4t – sinh 4t 2 cos 4t + 4 sin 4t 2…

A: