Answer:
cubic inches
Step-by-step explanation:
Diameter is increasing at 3 inches more than time, When t = 3
Diameter (d) = 3+3 = 6
d = 6
Radius is HALF of diameter, so
r = 6/2 = 3
Now, the volume of a sphere is given by the formula:

Putting r = 3, we get:

The volume would be 36π
Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given:
with
.
Now,
. Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation,
, then the Laplace transform we were searching is
The integral of e raised to x squared dx to the limit from 1 to 3 translating in equation we get
∫1-3 e^(X^2) dx.
Solving using scientific calculator, we have 1443.082471 or simply 1443.
<em>ANSWER: 1443</em>
Answer:
x + 3
Step-by-step explanation:
Since we have a common denominator, we can just simply combine the numerator which is just x+3.