1] Given f(D)y = x e2*sin3x + x² . The roots of the auxiliary equation of yp. assuming yp is the particular solution of some homogeneous linear differential equation with constant coefficients are : (a) 2 +3i, 0 (c) 2+ 3i, 2 + 3i, 0,0,0 (b) 2 + 3i, 2 + 3i, 0,0 (d) 2 + 3i, 2 + 3i, 2 + 3i , 0,0

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Let's find distance of objects travel from t=0 to t=45.

Q: 10

A: To simplify 35+710.

Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 5.1 #7

A: Given that                  A=60-1054-403-3502-425, λ=5

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A: We need to find lower and upper estimate.

Q: 31/2 / 1/2

A:

Q: 1 1 dx 3 5 x +x4

A:

Q: T. 9

A: Given: To determine: ST→ & tan∠S

Q: 1. 2. 3.

A:

Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: (4 – a2)

A: To integrate.

Q: 1. In circle A below, which of the following is not true? O EF is a chord CB is a tangent line BA is…

A:

Q: ne distance between the points on the gi

A:

Q: Speedometer readings for a vehicle (in motion) at 14-second intervals are given in the table. t…

A: we need to find the distance travelled

Q: 198-33

A: Given: 198-33

Q: expansion of (1-2m)“

A:

Q: 3. 18

A:

Q: %3D 2. 416

A: See the details solution in below

Q: 12 8. 4

A: Given, 12/4 - 8/5 Taking LCM we have, LCM= 4*5= 20

Q: 人 2. 2. 4

A: The given integral is ∫x24-x2dx. Let x=2 sin u. Then dx=2 cosu du. Apply the substitution and…

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :