Question 2 a) Evaluate £{est}. b) Evaluate L{(t− 3)² + sin 7t + cos 8t} c) Use the Laplace transform to solve the above initial value problem y" - 9y = est, y(0) = 1, y' (0) = 2.

Q: When the height of the sand in a particular rectangular sandbox is leveled out then the height of…

A: The height of the sand box is proportional to the volume of the sand. When the height is 2.25 in the…

Q: Solve                 2   =   X-500/ 85

A: Firstly, we add 500/85 on both sides  and then by adding 2+500/85, we get the required result.

Q: у" + 5у 3D 0

A: Given the differential equation y" + 5y = 0 Auxiliary equation of the given differential equation is…

Q: bill can shovel the snow from the walk in 45 minutes. When Carol helps him, they can shovel th walk…

A:

Q: Solve 3x=14

A:

Q: SOLVE THE EQUATION X = ex-1

A: The given equation is X=eX-1. Solve the equation. Here we use the formulas: lnab=blnalne=1

Q: Part A and Part B for Max`s car together cost $1,693 dollars, Part A cost $58 dollars more than…

A:

Q: Solve for x: 3* = 23

A: Given, 3x = 23  We have to solve for x.

Q: 15x* – 30Ľ x +7L = 0 ² %3D

A:

Q: Solve for: ?^2 − ? − 6 ≤ 0

A:

Q: Solve for x if: 3 5 X- 8 6 II

A:

Q: solution r^3 = 36r

A: The given equation is a third degree equation. So it has 3 solutions.

Q: Solve the equation for x 3x-x2 (thats x- x2 as the exponent)  = 1 divided by 9x

A: According to the given information it is required to solve the equation for x.

Q: y" + 49y = 0 %3D

A: Given the differential equation y" + 49y = 0 The auxiliary equation is m2 + 49 = 0

Q: X^4-13x^2=-36 solve for x

A:

Q: Solve for x in the equation 3x² = 48 Ox=4 Ox= -4 Ox=4,-4 x = 4,8 Ox=2,8

A: Solution:

Q: Solve: (4x)" = (3x + 3)7 %3D O x = 2 O r = 1 O x = 3 O r = 5 O x = 4

A:

Q: estimate the number of times that the sum will be 10 if the two number cubes are rolled 600 times.

A: Solution: Given that the sum is 10 The only 3 ways that two dice can sum to 10 are (4, 6), (5, 5),…

Q: Solue forx 8tlogs (-4x)=10

A: Please see the answer below.

Q: Solve for x: 6* = 35

A:

Q: 3x 9*-4x 27°

A:

Q: Please solve the last 2 parts as well please from the above equation

A: This question can be solved using the concept of derivatives.

Q: i can run 5 miles on one hour.At this rate,how long will it take me to run 7 miles?

A: I can run 5 miles on one hour. At this rate, how long will it take me to run 7 miles?

Q: If 2 = 100.301 and 3 =100477, solve 10* = 12 for x.

A:

Q: Solve ex =-x

A:

Q: 42

A: We have to solve given equation for y.

Q: solve for X 6x+7y=2

A: Given:

Q: Solve 3sin²x - 5tanx = 4

A: Given 3sin2x-5tanx=4

Q: V8x -23 + 18 = 25

A:

Q: A cyclist bikes 20 kilometers in 2 hours. What is the cyclists pace in hours per 1 kilometer?

A:

Q: If 2* = 8*-1, solve for x.

A:

Q: 7. Solve: 3 = 2 x-1 + 5 x+1

A:

Q: I need 5 equations, not only one.  How can i calculate other equations

A: Let the age of youngest child is x years. Youngest child 7 years older than the oldest. Who is 18.

Q: Solve -5 -2 x = [²5 ²3²] * 31 x x' 8

A: