AP Calculus BC - Units 5 & 6

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AP Calculus BC - Units 5 & 6

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Graphed below is the function f’’(x). On what interval(s) is the function f(x) concave up? *

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A rectangular area of 1000 ft^2 must be fenced off. Two sides of the fence will require fencing that costs $5 per ft. while the other two sides will require fencing that costs $2 per ft. What dimensions should the rectangular area be for the cost to be minimized? *

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500 x 2

5 x 15

50 x 20

10 x 12

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c = 7

c = 10

c = 1

c = ½

Which example below does the Extreme Value Theorem best apply? *

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The function f(x) is not differentiable or continuous over the interval [0,10].

The function f(x) does not cross the x-axis over the interval [0,10] and therefore has no zeroes over the interval.

The function f(x) has an asymptote at x = 0 and is not differentiable at x = 0.

The function f(x) is continuous and has a maximum at x = 8 and a minimum at x = 2 over the closed interval [0,10].

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Minimum at x= 7; Maximum at x = 3

Minimum at x= -3, 2; Maximum at x = 1

Minimum at x= 1, 2; Maximum at x = -3

Minimum at x= 6, 2; Maximum at x = -3

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Which integral represents the net area bounded by the curve f(x) and the x-axis? *

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Which example does not properly display a property of integrals? *

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Define the first fundamental theorem of calculus. *

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Find the trapezoidal Riemann sum of the function x^2+2x+1 with limits from 0 to 4 and four rectangles. *

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31

42

56

49

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When using integration by parts, which type of function would be best suited as the “u”. *

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Logarithmic

Exponential

Trigonometric

Algebraic

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Which of the following is not a correct integration rule? *

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What do integrals physically represent? *

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Area

Perimeter

Surface Area

Shape Structure

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Which of the following is not a type of Reimann sum? *

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Middle

Right

Contrast

Trapezoidal

Submit

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