Inverse Laplace of [s/ (s^3-11s^2 +36s -36)] Select the correct response: 1/4 e (2t) - e ^(3t) + 1/4 e^(6t) ½ e^(2t) - e ^(31) + ½ e^(6t) e^(2t) - e ^(3t) + ½ e^(6t) O none of the choices ½ e^(2t) -1/2 e ^(3t) + ½ e^(6t)

Q: How do i determine the hieght of two functions rotated around the yaxis?

A: We have to determine the height of two functions rotated around the y- axis

Q: Solve: L{tet sin 3t} O (18s^2 - 6s + 36) /(s^2 + 2s +10)^3 O (18s^2 +36s 36)/(s^2 +2s +10)^3 (18s^2…

A: Solutions

Q: Give a vector valued function whose graph is same as y=ln (x)

A: We know that a function with the representation r→t=ft i∧+gt j∧ is called a vector valued function…

Q: 52 Simplify: [-p ^ (p v q)] → q-

A:

Q: if y = secx prove that y^2+y=2y^3

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: 4s^2 + 13s + 19/ (s-1)(s^2 + 4s + 13) find the inverse laplace

A:

Q: Find the inverse Lapace Transform    L^(-1) {1/[(s^2 +9)^2]}

A:

Q: Simplify: 7/

A: Simplify.

Q: (d) dx (e) S,(4x + 2)5 + (6 – 4x) dx (f) S,' 4x3 – 3x* dx

A:

Q: Find the Re(z) and Im(z) z=sin(e^i3)+sinh(5∠30)

A:

Q: (D^3-2D^2-5D+6)y=e^(3x)

A:

Q: f'(1). et f(x) = 3x 6x-7 Find f'(x).

A: Given query is to find derivative.

Q: (D'+3D+2)y=e

A: See the attachment

Q: Find the L^-1 iNVERSE LAPLACE i.) G(S) = 3s-2/2s^2-6s+6

A:

Q: [5 8 If A = 0 1 1 find A-1. [4 3 -1]

A:

Q: f) = Vx?+4x+4 9=3 Find (f") (@)

A:

Q: (x? + 3x — 45)dх J«+ 3)(х + 12)(4х — 3)

A:

Q: 1. 4x (7x - 10) 4. -7y'y - 2y - 3y - 3)

A: 1) 4x2(7x-10) =  4x2(7x-10) = (4x2)(7x)+(4x2)(−10) = 28x3−40x2    4x2(7x-10) = 28x3−40x2 is the…

Q: Let F = (2yz – 3x) i + (3xz + 3y) j – (2xy+ ∞z) k. Find div F and curl F.. |

A:

Q: why does F(r(t))=-r/(1+(a-1)t)^3/2 instead of r^3? does |r| just equals to 1+(a-1)t?

A:

Q: 3-2 7) 6 – z*

A:

Q: Did I do something wrong by distributing the exponent of u^2?

A:

Q: Evaluate e^(z^2) if z = x+yi Select the correct response: e^(x^2+y^2) [(cos 2xy) - i sin 2xy)] none…

A:

Q: Find all residues of the function z (2-2) not including the residue at infinity. "

A:

Q: For f dw ,w = w-wa O w = u^(1/3) O w = u^3 %3D O w = u^(2/3) w = u O O

A: The formulas used are 1.∫dxax+b=1aln(ax+b)+c2.ddxxn=nxn-1

Q: Differentiate: y= x*+1 x +1 + xinx (A (x*+1) x + 1 + Inx x+1 + Inx D (x*+1)(x + 1 + Inx)

A:

Q: f(x) = 1/(1+e^1/x) a) Find the domain of f. b) Find the inverse of f.  c) Find the range of f.

A: a) Domain is possible values of x.For 1/x we can not have zero in denominator. So, domain is all…

Q: Find the derivative 3a+bt3 2b f(t) =+ V6at6. 5 3t

A: