The slope is undefined because it is a vertical line on the x axis at 0. Its a straight line going up
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 = 
Answer:
63 i think
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
Given:

Find the common denominator for the fractions, which is 6. Rewrite 1/3 as 2/6.

Combine like terms.

Simplify.
-0.5x = 1/4
Divide both sides by -0.5.
x = -1/2 = -0.5
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