AP Calculus AB multiple choice calculator blitz

The help restore a beach, sand is being added to the beach at a rate of s(t) = 65+24sin(0.3t) tons per hour, where t is measure in hours since 5:00 a.m. How many tons of sand are added to the beach over the 3-hour period from 7:00 a.m. to 10:00 a.m.?

• 255.368

• 225.271

• 85.123

• 10.388

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.TF.B.5

• 2 only

• 2 and 4

• 0 and 2 only

• 0,1 and 2

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The second derivative of a function f is given by f"(x)=sin(3x)-cos(x²). How many points of inflection does the graph of f have on the interval 0 < x < 3?

• One

• Three

• Four

• Five

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• -10

• -5

• 5

• 10

• The tempereature of the room, in degrees Celsius at 6:00 A.M

• The average temperature of the room, in degrees Celsius, at 6:00 A.M.

• The change in the temperature of the room, in degrees Celsius, between midnight and 6:00 A.M.

• The rate at which the temperature in the room is changing, in degrees Celsius per hour, at 6:00 A.M.

• 
• 
• 
• 

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

Let f be the function with derivative given by f'(x)-sin(x² - 3), at what values of x in the interval - 3 < x < 3 does f have a relative maximum?

• -1.732 and 2.478 only

• -2.478 and 1.732 only

• -2.183. 0, and 2.138

• -2.478, - 1.732, 1.732 and 2.478

• 1

• 3

• 7

• 10

• 11.941

• 14.587

• 24.672

• 27.814

People are entering a building at a rate modeled by f(t) people per hour and exiting the building at a rate modeled by g(t) people per hour, where t is measured in hours. The functions f and g are nonnegative and differentiable for all times t. Which of the following inequalities indicates that the rate of change of the number of people in the building is increasing at time t?

• f(t) > 0

• f'(t) > 0

• f(t) - g(t) > 0

• f'(t) - g'(t) > 0