Problem 1 :
The closed interval [a, b] is partitioned into n equal subintervals, each of width Δx, by the numbers
x0, x1, x2, ........ xn,
where
a = x0 < x1 < x2, ........ xn - 1< xn = 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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