AP Practice 1

What is the result of integrating the traffic flow function from 0 to 30 minutes?

• 2450 cars

• 2500 cars

• 2474 cars

• 2400 cars

What is the approximate volume of the solid formed by rotating the shaded region about the line y = 2?

• 14.500 cubic units

• 17.200 cubic units

• 16.179 cubic units

• 15.000 cubic units

What is the derivative of the function x^2 + 4y^2 = 7 + 3xy using implicit differentiation?

• (2y - 3x) / (3y - 8x)

• (3x - 2y) / (8x - 3y)

• (2x - 3y) / (3x - 8y)

• (3y - 2x) / (8y - 3x)

What is the result when the derivative of a function is set to zero?

• It calculates the total area under the curve.

• It determines the elasticity of the function.

• It identifies points of potential maxima or minima.

• It finds the average rate of change.

What does the second derivative tell us about a function at a given point?

• The concavity of the function.

• The acceleration of the function.

• The inflection points of the function.

• The slope of the tangent line.