9s + 7 F(s) = 2s2 + 2s + 4

Q: y - 4z = O X + y -4z = 0

A:

Q: f (z) = 3z2 - 6z +1

A: Let's find.

Q: -6 f(3) – 6 - g(-1) =| 8. サー9(z) -8 -6 -4 2 -4- サー) %23

A:

Q: Find the total areas of the shaded regions

A:

Q: Determine. '{F}. 4s2 + 3 sF(s) – SF(s) – 2F(s) = - s + 4s

A: Rewrite the given equation.

Q: Use matrices to solve the system.

A: We solve the given set of equations using Gauss Jordan elimination method. At first we write above…

Q: (x-h)² , (y-k)² ルーん =1 a² b²

A: We have to determine the graph of given equation.

Q: 0.5 y n/2 t 3π12 2n -0.5 -1.5 --2 -2.5 -3 -3.5

A:

Q: 8s2 -4s+12 1. F(s) s3 +4s

A:

Q: f(z) = (2+2)(2+

A:

Q: Describe the x-values at which f is differentiable .

A: Given: Describe the x-values at which f is differentiable

Q: 1 -3s s2-

A:

Q: Q1/ Determine 2s2+3s-4 1. F(s) = (s-2)(s²+2s+2) 1 2. F(s) = 3(s²+1)

A: To Determine :-  1. F s = 2s2 + 3s - 4 s -2   s2 + 2s + 2 2. F s = 1s  s2 + 1

Q: T : R² → R³ -3x1 + x2 (:) 3x2 x2 2x2 Ex: 5 : 5 T Ex: 5 -1 Ex: 5

A:

Q: g (x) =2 6+ -8 -6 -4 -2 2 4 2.

A: let y=x13 g(x)=2x13 (Stretches y=x13 2 units along Y direction)

Q: 5s+3 6s 8 F(s) - (5s2+4s+1) s2+7 9.

A: The laplace transform formulas for e^(at)cos(bt) and e^(at)sin(bt) will be used in solving this…

Q: 2x +2y +37=-| 5x -y + Z = 2 3× ++2そ=0

A: First we will convert the given system into matrix form AV=B We will solve the system of equation…

Q: 4 9 5- .2 13) =D1 7 2+-+ X x²

A:

Q: s2 -4 +3 , x = 3s v2s +1 u =

A:

Q: L-1 (s³+3s²-s-3) . (s²+2s+5)²,

A:

Q: 6. x- 2y + 2 = 11 3y – z = -43 + 5x 2x + 3z – y = 25

A:

Q: 3) f(a(-4)) = - s(-1)) = - 4) F(6(-3)) = - s(-1)) =.

A:

Q: 6. f(x) = 2x2-7x-11 Sx2 es

A:

Q: 45. (a) + 2y -- - 2y 3 (b) x+ 2y- 10 - 2y- -6 47. (a) ,+ 2,

A:

Q: 3s² +5s+5 F(s) = (s3+8s²+19s+12)(s³)

A:

Q: 2) 3y"-4y' = 0, with y(0) = 2, y' (0) = -8

A:

Q: =) Skelch fx)= - 4 X S -1 X - 2 and ー1 X- 2

A:

Q: Max Z= 5x1 + 7x2 S.T X1 + X2< 4 3x11 + 8x2 <24 X1 and x2 2 0.

A: The LPP is given as Max z=5x1+7x2 subject to x1+x2≤43x1+8x2≤24x1≥0x2≥0 We will solve it by Graphical…

Q: 4 (a² - y²)² 4. g(x) = (3x² + 4x - 5)5 3. 2 =

A:

Q: l₁: x = 7+2t, y = 2 + t, z = -6 - 3t y-9 Z-13 l₂: 3 - x = -5 -5

A:

Q: y2-9 y²+3y-18 4

A:

Q: y = -2 + 3cos (x- 4)

A: We have to graph the given function y=-2+3cos(x-4).

Q: 6. F(- 1)*-\VR k² + 1 k = 1 8

A:

Q: e-7x - 2e3 et f (x) = e- *+16e10* + 2e-4z

A: (a) Consider the provided limit, limx→-∞e-7x-2e3x-exe-x+16e10x+2e-4x Evaluate the provided limit.…

Q: C. 6<9+x D. 3+x<-2 E. -17 <x- 8 F. x-1<2

A:

Q: Solve the system of equations.

A:

Q: using x and y 6.) -2x+ y=D1 6.

A:

Q: 3 (b) (c) 5²8y0. 3x-2y-2=0 2-y-60

A: Given three homogenous linear equation. We have to compute the vector subspace of the solutions of…

Q: g(x) = -13 – x| + 5 -6- -10 -9 3 10 -1- -2- -3-

A: The objective of the question is graph the given equation.

Q: 3. 2S-1 s2-6s+18

A:

Q: e2z dz 1.9리=4z(z2-1)

A: from Cauchy residue theorem we can solve this question

Q: 3. 2-y x-2y

A: Give the general solution of the following Differential equation.      dydx=2x-yx-2y

Q: X -2 -1 0 1 2 y=-4x3 + 2x+1 현 1" 2nd 30 X -2 -1 0 1 2 3 y = -3x4 + x-1 D 1st 2nd 30 4th

A:

Q: 0. -2 5S-1, (f) /() す。 1sく2.

A: (f) Given function is fx=0,  −2≤x&lt;−1x,  −1≤x&lt;10,  1≤x&lt;2. We have to find the Fourie series…

Q: r4 (3 + 2y)2 dy

A:

Q: 3s+6 F(s) = s2-4s-5

A: