use the Laplace transform to solve the given initial-value problem.

bobbie71G
2021-03-04
Answered

use the Laplace transform to solve the given initial-value problem.

You can still ask an expert for help

SchulzD

Answered 2021-03-05
Author has **83** answers

Step 1

Given, the initial value problem

step 2

The Laplace transform of the two derivatives

Where y(0) and y’(0) are initial conditions.

Step 3

Now,

when

when

Step 4

Hence the solution is

asked 2021-06-01

Find the vectors T, N, and B at the given point.

$r(t)=<{t}^{2},\frac{2}{3}{t}^{3},t>$ and point $<4,-\frac{16}{3},-2>$

asked 2021-05-14

Find a nonzero vector orthogonal to the plane through the points P, Q, and R. and area of the triangle PQR

Consider the points below

P(1,0,1) , Q(-2,1,4) , R(7,2,7)

a) Find a nonzero vector orthogonal to the plane through the points P,Q and R

b) Find the area of the triangle PQR

Consider the points below

P(1,0,1) , Q(-2,1,4) , R(7,2,7)

a) Find a nonzero vector orthogonal to the plane through the points P,Q and R

b) Find the area of the triangle PQR

asked 2021-09-22

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at

asked 2022-03-09

vv

A second hand car dealer has ten cars for sale. He decides to investigate the link between the

ages of the cars, *x *years and the mileage, *y *thousand miles. The data collected from the cars

are shown in the table below.

Age, *x *years

2 2.5 3 4 4.5 4.5 5 3 6 6.5

Mileage, *y *thousand miles

22 34 33 37 40 45 49 30 58 58

(a) Construct a well labeled **scatter **diagram in the graph paper provided to present the

information. (3 marks)

(b) Find *S**xx *and *S**xy*. (3 marks)

(c) Find the regression equation in the form *y *= *α *+ *βx*. (4 marks)

(d) Fit the regression equation obtained in (c) to the scatter plot in (a) and label the line

appropriately. (2 marks)

(e) Give a practical interpretation of the slope *β*. (1 mark)

(f) Using your answer in (c), fifind the mileage for a 6 year old car.

A second hand car dealer has ten cars for sale. He decides to investigate the link between the

ages of the cars, *x *years and the mileage, *y *thousand miles. The data collected from the cars

are shown in the table below.

Age, *x *years

2 2.5 3 4 4.5 4.5 5 3 6 6.5

Mileage, *y *thousand miles

22 34 33 37 40 45 49 30 58 58

(a) Construct a well labeled **scatter **diagram in the graph paper provided to present the

information. (3 marks)

(b) Find *S**xx *and *S**xy*. (3 marks)

(c) Find the regression equation in the form *y *= *α *+ *βx*. (4 marks)

(d) Fit the regression equation obtained in (c) to the scatter plot in (a) and label the line

appropriately. (2 marks)

(e) Give a practical interpretation of the slope *β*. (1 mark)

(f) Using your answer in (c), fifind the mileage for a 6 year old car.

A second hand car dealer has ten cars for sale. He decides to investigate the link between the

ages of the cars, *x *years and the mileage, *y *thousand miles. The data collected from the cars

are shown in the table below.

Age, *x *years

2 2.5 3 4 4.5 4.5 5 3 6 6.5

Mileage, *y *thousand miles

22 34 33 37 40 45 49 30 58 58

(a) Construct a well labeled **scatter **diagram in the graph paper provided to present the

information. (3 marks)

(b) Find *S**xx *and *S**xy*. (3 marks)

(c) Find the regression equation in the form *y *= *α *+ *βx*. (4 marks)

(d) Fit the regression equation obtained in (c) to the scatter plot in (a) and label the line

appropriately. (2 marks)

(e) Give a practical interpretation of the slope *β*. (1 mark)

(f) Using your answer in (c), fifind the mileage for a 6 year old car

asked 2021-09-15

Find the principal unit normal vector to the curve at the specified value of the parameter

$r\left(t\right)=ti+\frac{6}{t}j,t=3$

asked 2021-03-12

Let

asked 2021-12-03

Find the distance from the origin to the line

x=1+t, y=2-t, z=-1+2t

x=1+t, y=2-t, z=-1+2t