AP Calculus AB Problems with Solutions (Part - 10)

Problem 1 :

Find possible values of a and b that make the statement true.

Solution :

(a, b) = (?, ?)

Problem 2 :

Evaluate :

Which of the following four figures represents the evaluation of the above definite integeral?

Use a geometric formula to evelaute the integral.

Solution :

Problem 3 :

Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal length). (Round your answers to three decimal places.)

upper sum = ?

lower sum = ?

Solution :

Problem 4 :

Using table of values to find lower and upper estimimates of

Assume that f is a decreasing function.

lower estimate = ?

upper estimate = ?

Solution :

Problem 5 :

The graph of f consists of line segments and a semicircle, as shown in the figure. Evaluate each definite integral by using geometric formulas.

Solution :

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