Question

Find the distance traveled with 0 acceleration by (a) indefinite integral, (b) definite integral

Please give a detailed solution and explanation

Answer #1

1. Find the antiderivative: indefinite integral(
sec^2(sqrt(x)dx
(a) State substitution. Use w for new variable
(b) Write new integral
(c) Write first step in solving new integral
(d) Write antiderivative answer
2. definite integral from 0 --> 1 (y + 1) / (e^(3y)) dy Leave
answer in exact form but simplify as much as possible
(a) Write problem in form so that integration by parts
applies.
(b) Write next step in solving integral
(c) Write answer in exact form

Calculus. Definite Integral.
Use the velocity function of the car v(t) = (1100/3)e^(-0.03t) -
(462/5)
to calculate the total distance traveled by the car at
t = 15 seconds, t = 25 seconds, t = 35
seconds, and t = 45 seconds.
Please show your work step by step.

Use a power series to approximate the definite integral to 4
decimal places: from 0 to 1/2 (x^2)(e^(-x^2) dx. Find power series
of e^-x^2. and the value of the integral (how many terms
needed)

Using the Method of Cylindrical Shells, find a definite integral
that gives the volume V of the solid S obtained by rotating the
region R bounded by curves: y=sqrt[x] ,and y=0 about the
x-axis.
There is a 3rd line at x=4

1. Evaluate the definite integral given
below.
∫(from 0 to π/3) (2sin(x)+3cos(x)) dx
2. Given F(x) below, find F′(x).
F(x)=∫(from 2 to ln(x)) (t^2+9)dt
3. Evaluate the definite integral given
below.
∫(from 0 to 2) (−5x^3/4 + 2x^1/4)dx

1. Use a power series to approximate the definite integral, I,
to six decimal places. 0.4 to 0, (x5 / 1 + x6 ) dx
2. Find a power series representation for the function. (Give
your power series representation centered at x = 0.)
f(x) = ln(9 − x). Determine the radius of convergence, R. I
already found the first part to be x is 1/n(x/9)^n but can't find
R

Find the distance traveled by a particle with position
(x, y) as t varies in the given time
interval.
x = 4 sin2(t), y =
4 cos2(t), 0 ≤ t ≤ 2π
What is the length of the curve?

Find a definite integral that is equal to the area of the region
bounded by
?(?)=?2+10?????(?)=6?+12.
A.
∫2−6(−?2−4?+12)??
B.
∫6−2(?2+4?−12)??
C.
∫2−6(?2+4?−12)??
D.
∫6−2(−?2−4?+12)??
E.
∫−0.79−15.21(?2+16?+12)??

A particle moves along a line with velocity v(t)=(3 -
t)(2+t), find the distance traveled during the time interval [0,
1].

For the motion r(t), ﬁnd (a) ds/dt and (b) the distance traveled
over the interval described.
(a) r(t) = (2sinht, (sinh^2)*t), 0 ≤ t ≤ 1.
(b) r(t) = e^t (sin2t, cos2t), 0 ≤ t ≤ ln3

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 49 seconds ago

asked 5 minutes ago

asked 12 minutes ago

asked 16 minutes ago

asked 23 minutes ago

asked 25 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago