Find:
Air is being pumped into a spherical balloon at a rate of 5 cm³/min. Determine the rate at which the radius of the balloon is increasing when the diameter of the balloon is 20 cm
fine dr/dt when d=20/r=10
If a = 1 and c = 4
square root of 15
If I'm trying to find what dV/dt is when h = 6, then I need to write an equation for volume that's in terms of only which variable?
h
Find dy/dx if 2y=x2
dy/dx = x
What was the last state to overturn laws against interracial marriage in the year 2000?
Alabama
Water runs into a conical tank at the rate of 9 cubic feet per minute. The tank stands pointed downward and has a height of 10 feet and a base radius of 5 feet. How fast is the volume changing when the water is 6 feet deep?
Find dV/dt when h = 6
If the length of the ladder is 20 feet, what is dc/dt?
0
If r/h = 3/10, then what does r= ?
r = (3/10)(h)
To find where dy/dx has a vertical tangent line, you set the ___________________ = 0.
denominator
Peru
A ladder is 20 feet in length and leans against the side of a building. If the bottom of the ladder slides away from the building horizontally at a rate of 4 feet per second, at what rate is the ladder sliding down the building when the top of the ladder is 8 feet from the ground?
Find da/dt when a=8
If a ladder is sliding down the wall, would da/dt be positive or negative?
negative
If r/h = 1/4, then what does h = ?
h = 4r
To find where dy/dx has a ________________ tangent line, you set the numerator = 0.
horizontal
Which Asian country had seven of the ten deadliest wars in human history, some even deadlier than WWI?
China
A water tank in the shape of a right circular cone has a height of 10 feet. The top of the rim of the tank is a circle with a radius of 4 feet. If water is being pumped into the tank at the rate of 2 cubic feet/minute, what is the rate of change of the water level, when the depth is 5 feet?
Find dh/dt when h=5
Differentiate the pythagorean theorem with respect to time
2a da/dt + 2b db/dt = 2c dc/dt
If r = (1/5)(h), rewrite the equation for the volume of a cone in terms of h's only.
V=(1/75) pi h3
Determine dy/dx:
xy=3
dy/dx = -y/x
The Olympic Games originated from what country?
Greece