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100
What is the derivative of 3x²+2x-10
What is 6x+2
100
What is the Antiderivative of: ∫3x²+4x dx
What is x³+2x²+C
100
What is the formula for the product rule?
What is F'(x)= U'V+UV'
100
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.
What is 1/80π cm/min
100
A function is not differentiable if it has a.... (four right answers)
What is a discontinuity, corner, cusp or a vertical tangent
200
What is the derivative of 4/x²+4
What is -8/x³
200
What is the antiderivative of: ∫6x^1/2-4x dx
What is 4x^3/2-2x²+C
200
What is the formula for the definition of a derivative?
What is f(x+h)-f(x)/h
200
A 15 foot ladder is resting against the wall. The bottom is initially 10 feet away from the wall and is being pushed towards the wall at a rate of ft/sec. How fast is the top of the ladder moving up the wall 12 seconds after we start pushing?
What is 0.1319 ft/sec
200
What are the two main branches of calculus?
What are Integral and Differential
300
What is the derivative of sin(x)
What is cos(x)
300
What is the antiderivative of: ∫cos(x) dx
What is sin(x)+C
300
What is the mean value theorem formula
What is f(b)-f(a)/b-a
300
A spherical snowball with an outer layer of ice melts so that the volume of the snowball decreases at a rate of 2 cm/3min. How fast is the radius changing when diameter of the snowball is 10 cm?
What is 20π cm/s
300
What does log stand for?
What is natural logarithm
400
What is the derivative of e2x
What is 2e2x
400
What is the antiderivative of: ∫csc²(2x) dx
What is -2cot²(2x)+C
400
What is the formula for the quotient rule?
What is U'V-UV'/v²
400
A water tank in the shape of a right circular cone has a height of 10 feet. The top 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 per minute, what is the rate of change of the water depth, in feet per minute, when the depth is 5 feet?
What is 12/π ft/min
400
Who are the TWO people credited with inventing calculus?
What is Who are Newton and Leibniz
500
What is the derivative of √5x²+1?
What is 5x/√5x²+1
500
What is the antiderivative of: ∫(sec²x)√5+tan(x) dx
What is 2/3(5+tan(x))^3/2+C
500
What is the formula for average value?
What is or 1/b-a a∫b v(t) dt
500
A right cylindrical tank is filled with water. The tank stands upright has radius 20 cm. How fast does the height of water in the tank drop when the water is being drained at 25 cm³/sec?
What is −1/16π cm³/sec
500
What is Ms O'Malley's daughters name?
Who is Chavaun