Answer:
1. <em>d</em> - 6 ft
where <em>d</em> is the width
2. <em>t</em> + 6 h/week
where <em>t</em> is the amount of time per week Theodore studies
3. <em>t’</em> - 6 a
where <em>t’</em> is Tracy’s age
4. (<em>k</em>/3) - 2
where <em>k</em> is the points that the panthers scored
Step-by-step explanation:
Write the variable and do the operations as described!
“less than” means subtraction, “more […] than” means addition and “one-third of” means division by 3.
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:
54 cm^2
Step-by-step explanation:
side ( a ) = 3 cm
Formula : -
Surface area ( cube ) = 6a^2
Surface area ( cube )
= 6 x ( 3 )^2
= 6 x 9
= 54 cm^2
Answer:
= 3 R 43
= 3 43/268
847 divided by 268 equals
3 with a remainder of 43