AP Calculus AB Problems with Solutions (Part - 20)

Problem 1 :

The closed interval [a, b] is partitioned into n equal subintervals, each of width Δx, by the numbers

x₀, x₁, x₂, ........ x_n,

where

a = x₀ < x₁ < x₂, ........ x_{n - 1}< x_n = b

A)  (b - a)(b + a - 1)

B)  (b + a)(b - a - 1)

C)  b² - a² - 1

D)  2(b² - a²)

Solution :

Problem 2 :

The figure above shows the graph of g on [a, c]. Which of the following could be the graph of f on [a, c]?

Solution :

Problem 3 :

A)  -2

B)  -1

C)  0

D)  1

Solution :

Problem 4 :

If 7x + y = k is the equation of a line tangent to the graph of y = 9x + 1/x², what is the value of k?

A)  -17/2

B)  -13/2

C)  12

D)  14

Solution :

Problem 5 :

The graph of f(x) = x(ln x)² has a point of inflection at

A)  1/e²

B)  1/e

C)  e

D)  e²

Solution :

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