e*dx + 2 | 2*dx = e*+1 2*+1 + + C, In 2

Q: Find the laplace transform of the following: a.) f(t) = teatcosb

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Consider the following two systems. (a) -5х — у 1 4x + 5y -1 (b) (-5x – y 3 4x + 5y -2 (i) Find the…

A:

Q: 4) golve the luP : ty"-24'+ty = t Chne 'a ) yro) = |

A: Solution: given, ty''-2y'+ty=t  y(0)=1, y'(0)=0 it is a non homogeneous equation so solution will be…

Q: QUESTION 1 (a) Determine the Inverse Laplace transform of the following expressions: 1 (s-4)' (b)…

A: Solution

Q: If X x2(m, mµ²) find the corresponding (a) mgf; and (b) characteristic function.

A:

Q: Hiws slove du 4 dt %3D dx2 h=I u(6,t) = L (8,t)=0 u(x,a) =0 =4X- ()X

A:

Q: Express each of the following in the form a + bi. cosh(1 – i2)

A: Solution

Q: (a) Sketch the complex plane (i) the solution to |w − j2| = 2 and (ii) the solution to |w∗ − j2| =…

A:

Q: Hiws solve Sinite diffrence ý+ xy =2xy [ol]

A:

Q: prove it .The set of all optimum solution of the general convex programming problem is a convex

A: Proof

Q: 2. Draw a picture of the graph G specified as follows: Vertex set = {V1, V2, V3, V4, V5} Edge set =…

A:

Q: 10. If L = {3* |x = 1,2, 3, 4, 5 }, then L is an infinite set. 11. If J= {x € Z|0 |O|]. %3D %3D

A:

Q: 6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded…

A: We have to solve given Questions.

Q: Suppose n is an integer. Prove by direct method: If n is an odd integer then 8|(n² -1).

A: suppose n is an integer.  prove by direct method - if n is an odd integer then 8n2-1

Q: 3. Let R be the region below bounded by the parabola y = 4 – x2 and the lines 3x – 2y + 3 = 0 and y…

A: The given curves are y=4-x2, line: 3x-2y+3=0 and y=0. To find: (a) definite integral such that it…

Q: 10. Particular solution of y" – 64y = 16, when x = 0, y = 1, y' = 0 %3D

A:

Q: 11 Solve b initediffrencemethedt

A:

Q: SOLVE FOR LAPLACE TRANSFORM e" (cost + 3 sin t) e-3 -2t e2t (t3 + 5t – 2) sin 2t sin 5t

A:

Q: Rock band The Rolling Stones have played scores of concerts in the las a) Assuming a population…

A: Given that rock band the rolling stones have played scores of concerts in the last twenty years. For…

Q: 8. (a) Let I= | $(1) dx where f(x) = 7x + 2 – /7x +2. Use Simpson's rule with four strips to…

A:

Q: 7. (a) Shade the region in the complex plane defined by {z € C: |z+2+2i| < 2}. (b) Shade the region…

A:

Q: Problem 2: 2.5 Evaluate the integral using the composite trapezoidal rule with the indicated number…

A:

Q: Evaluate the integral o dz where C is the circle |2| = 2. 22 + 9

A:

Q: Find all the Laurent series representations of the function f(z) = 1/(z − 3)z centered at 0.

A: We have to solve given problems:

Q: en 9. Ift:V→Vis any map from an inner-product space V to itself such that (i) t (0) = 0 (ii) || t…

A:

Q: Let G be a graph with vertex set V(G) = {v1, v2, v3, V4, V5, V6, V7} and edge set E(G) = {vrv2, vv3,…

A: Given that G is a graph with vertex set VG = v1, v2, v3, v4, v5, v6, v7 and edge set EG = v1v2,…

Q: Draw the development pattern for the cone. A is the ellipse center and B is the circle center. 50 B…

A:

Q: 2. Radar stations are positioned 12.5 miles away from one another on an east-west line. A signal…

A: We will use sin rule  For a ∆ABC  If a,b,c represents opposite sides of angle A,B,C then…

Q: (31) Use Newton's Method to make the second approximation x2 to the solution of 2e" = ex. Take x1 =…

A:

Q: What is the intercept for observations with X2 equal to 0? a. 2.121 b. 0.055 c. 1.343 d. -0.723

A: The intercept for observations with X2 equal to 0 is determined as shown below.

Q: 06. lim, xcsc X 3csc 6x 07. lim,→x/2 csc2x e* +3x 08. lim, e* + 0.5x?

A: According to guidelines here solution of only firt 3 questions

Q: (b) Shade the region in the complex plane defined by z+1+i 2-1-5i

A: Solution:-

Q: 3. Two people spot an airplane in the sky between them at angles of elevation of 42° and 57°…

A: Solution

Q: For the first 10 days in December a plant cell grew in such a way that t days after December 1 the…

A: )This is the problem with the application of Calculus.

Q: Using the method of LaPlace Transform, solve the following IVPs a.) y"' + 3y" + 3y' = y…

A:

Q: - Using the Maclaurin Series for e (e* = E=o) a. What is the Taylor Polynomial T3(x) for e centered…

A:

Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer: (b)…

A:

Q: 2 0 Q4)(a) Find the maximum eigen value for the system 4 = with initial vector x' (0) = (0.0299 1)

A:

Q: OStく2 ャt -e" +4 ュ the IVP: y"a-4y+4y= yco) = 4,4c0)= -1

A:

Q: sin(z) Evaluate the integral Tz+1)(2² + 2) dz where C is the circle |z – 2i| = 1.

A: We have to evaluate the integral ∫Csinzz+1z2+2dz where C is the circle z-2i=1

Q: 12 is 40% of what number

A: suppose 12 is 40% of the number x. Then x×(40100)=12  when cross multiplied  and solved we get  x=30

Q: The value of the triple integral (x² + y)dV where E is the E portion of x + y + z? = 4 with 0 < y,…

A: Solution:-

Q: TRUE OR FALSE 19. Declarative sentences are propositional functions. 20. If Marikina is the capital…

A: 19. A declarative sentence is a sentence which is used to  declare some facts .so a declarative…

Q: 7. Five equal point charges, Q = 20nC, are located at x = 2,3, 4, 5, 6 m. Find the potential at the…

A: Solution

Q: Find the Laplace transform of 1. f(t) = [1– Uz7(t)](2 sin t – sin 2t)

A: Given the function ft=121-u2πt2sin t-sin 2t  We will find the Laplace transform of ft

Q: 1. Let G be a group and let H, H, .. H, be the subgroups of G. The ...

A:

Q: Time (t) in seconds Distance (y) in cm 2 3 4 7 8 15 20 15 0 -25 -60 -105 -160

A:

Q: Let T(7) = Az for the following matrix A and let b be the vector given below. 1 1 2 -4 A = -1 8 1 3…

A:

Q: Supply the missing integrand and the limits of integration x dx dy V4 + x² _dy %3D

A:

Q: e-"dy dx -0. cos y 1.21.

A: