Terminology
Volume Problems
Area Problems
Bonus Questions
100
It involves finding a rate in which a quantity changes by related that quantity to other quantities in which the rate of change is already known.
Related Rates
100
A cylindrical tank standing upright (with one circular base on the ground) has a radius of 20 cm. How fast does the water level in the tank drop when the water is being drained at 25 cm33/sec?
1/(16π) cm/s
100
The radius of a particular circle increases at 1 millimeter each second. As a result, its area changes. How fast is its area changing when the radius is 30cm?
60pi mm2/s
100
What is the name of our BASCALC Teacher
Dr. Vergel Bungay
200
What value must be presented if time increases?
Positive
200
Water is poured into a conical container at the rate of 10 cm33/sec. The cone points directly down, and it has a height of 30 cm and a base radius of 10 cm; see figure 6.2.2. How fast is the water level rising when the water is 4 cm deep (at its deepest point)?
90/(16π) cm/sec
200
a) What if the circle's diameter is 12.5?
12.5pi mm2/s
200
At what time are BASCALC Classes held?
7:30 am every Tuesday and Thursday
300
What is the volume of a sphere?
4/3pir3
300
Sand is poured onto a surface at 15 cm33/sec, forming a conical pile whose base diameter is always equal to its altitude. How fast is the altitude of the pile increasing when the pile is 3 cm high?
20/(3π) cm/s
300
b) Find the rate in which the circle's surface area is changing.
753.6 mm2/s
300
How many items were included in the 2 BASCALC Long Quizzes?
70 each
400
What is the formula for the average rate of change
y2-y1/x2-x1
400
Water is draining from the bottom of a cone-shaped funnel at the rate of 
. The height of the funnel is 2 ft and the radius at the top of the funnel is 1 ft. At what rate is the height of the water in the funnel changing when the height of the water is 
ft?
ft/sec
400
c) Find the volume, perimeter, and instantaneous rate of change of this circle.
volume= 120pi mm2/s
perimeter= 60pi mm2/s
instant rate of change= 60pi mm2/s
400
In which college did Dr. Bungay receive his Doctorate degree?
Kunsan University
500
While solving related rate problems, constant quantities must be labelled so that it won't be confused with what?
variables that change with time
500
A pyramid-shaped vat has square cross-section and stands on its tip. The dimensions at the top are 2 m ×× 2 m, and the depth is 5 m. If water is flowing into the vat at 3 m33/min, how fast is the water level rising when the depth of water (at the deepest point) is 4 m?
75/64 m/min
500
d) If the radius of a circle is x, and x is a positive even integer that's <10. Find the rate of change.
16pi
12pi
8pi
4pi
500
Let y= x3+2
Find the instantaneous rate of change of yy with respect to x at point x=4.
48