Suppose you deposited $400 in a savings account 2 years ago. The simple interest rate is 2.8%. The
1 answer:
You might be interested in
Answer:
Shown - See explanation
Step-by-step explanation:
Solution:-
- The given form for rate of change is:
8 sec(x) tan(x) − 8 sin(x).
- The form we need to show:
8 sin(x) tan2(x)
- We will first use reciprocal identities:
- Now take LCM:
- Using pythagorean identity , sin^2(x) + cos^2(x) = 1:
- Again use pythagorean identity tan(x) = sin(x) / cos(x):
Answer:
The rate of change of the volume of the cylinder at that instant =
Step-by-step explanation:
Given:
Rate of increase of base of radius of base of cylinder = 7 mm/hr
Height of cylinder = 1.5 mm
Radius at a certain instant = 12 mm
To find rate of change of volume of cylinder at that instant.
Solution:
Let represent radius of base of cylinder at any instant.
Rate of increase of base of radius of base of cylinder can be given as:
Volume of cylinder is given by:
Finding derivative of the Volume with respect to time.
Plugging in the values given:
Using
(Answer)
Thus rate of change of the volume of the cylinder at that instant =