1. Laplace trans form if L[2t2- 1]? 2. Laplace transform if {e sin 4t} 3. Laplace transform if {t cos at} ......

Q: Evaluate A. 2/3 B. 4/3 */2 12 000 C. 1/3 D. 5/3 [zdz r²dr sinu du.

A:

Q: 3. g(t) = arcsin (E - find g'(t) A. (4-t+) В. (4-t+)ž C. - 2t5 (4-t4)ž 2t D. (4-t+)5

A: 3-Given- gt=arcsint22-t24-t4 To Find- The value of g't.

Q: Y= っ.

A:

Q: Sketch a graph of x = -3 + cos(t), y =1+ sin(t), 0 < t < 27 COS 5+ 4-

A: Given: x=-3+cos(t)y=1+sin(t)

Q: 5 sin 3 (t ), t > 4 6. If f(t) = 0, t <

A:

Q: showo haw [co(t)+ 3sine) ]= vioet coslt- antan( 3)

A:

Q: (r,1) = (r sin (f), r– cos (1)), (r.1) = (5,-) s numbers in exact form. Use symbolic notation and…

A: In this question, the concept of the Jacobian of functions is applied. The Jacobian of Gr,t is…

Q: 1 (ii) Lª. 1+/s]

A: The solution are next step

Q: In(√3) e dx 1+e²x A) tan-¹(3)-tan-¹(e) C) tan-¹(√3) E)-tan-¹(e)

A: Given integral: I=∫1ln3exdx1+e2x   Let, u=ex Then, dudx=ex So, exdx=du Now, the lower limit becomes:…

Q: 2. Find the Laplace Transforms of (te' sin(at))" when a = 1

A:

Q: Find x and y for which the following equation is satisfied: x+2 = - 5+i i-5

A:

Q: 2. Find the derivative. a. y = sin x³ b. y = sin³ x C. y = cos(4x+9) Copyright ©2021 The Ontario…

A: Step 1: Step 2:Step 3:Step 4:

Q: e cosl – i e™ sin 1 + e¯ cos 1 - i e- sin 1 2 e cosl + i e™ sin 1 – e- cos 1 + i e¯I sin 1 -TT 2 e…

A: Simplify the given expression: Coshπ-i

Q: 1. (a) Construct the first Taylor approximant to f: (−1,1) → R, ƒ(x) = sin¯¹ x about a = 11. (b) Use…

A:

Q: S sec" (0) tan" (0) do is u = tan(0)

A: Evaluate ∫sec10θ tan8θ dθ

Q: Question 5 If y = (sin x)", then dy (a) g[ln(sinx) +cot] (e) none of these (b) y[ln(sin x) + cot x]…

A: Given: y=(sinx)x We have to find dy/dx

Q: as a function of x when y =

A:

Q: if y= Cot" (-+) y=Cot Prove that dy 1-x

A:

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st…

A:

Q: tan '(z*), , Find

A: The objective is to find ddxtan-1x4x=1 Use the formulas: ddxtan-1(x)=11+x2ddxxn=nxn-1

Q: Xexs is The Laplace inverse of s2+4x? O a. sin(2x(t-1)) 5(r-x)dr 0.

A: Let f(t)=L-1xs2+(2x)2           =x L-11s2+(2x)2          =x.12 sin(2xt) ∵L-11s2+a2=1asin(at)…

Q: Determine the Z-transforms of the following expressions (ii) (cos+isin)"

A:

Q: (b) (sin 0)y"+ (0+ cos 0)y" 2tan@

A: Given: sin θy'''+θ+cos θy''=2 tan θ (a) The number of the highest derivative in a differential…

Q: Let f(z) = cos and g(z) = tan-(10z) Then if h(z) S(z) find: 9(z) h'(1) = N(즉) = |

A: The given functions are  f(x) = cos-1x/5 , g(x) = tan-110x   If, h(x) = f(x)/g(x)  Find h'(x) and…

Q: Find 00 et (ii) L-1 [cot"" ())

A:

Q: Suppose that 0.3210 approximates 0.3245. How many significant digits does the approximate have? O 3…

A: