True/False Quiz for Chapter 6
(Chapter 13 in the Combined Book)
The Integral

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Finite Mathematics Applied to the Real World

Calculus Applied to the Real World

Finite Mathematics & Calculus Applied to the Real World

1.			If F(x) is an antiderivative of f(x), then f'(x) = F(x).
2.			If c(x) is the marginal cost function, then the cost function is c(x) dx.
3.			When you've seen one antiderivative of f(x), you've seen them all.
4.			The integral of a sum is the sum of the integrals.
5.			The integral of a difference is the difference of the integrals.
6.			The integral of a product is the product of the integrals.
7.			The integral of a quotient is the quotient of the integrals.
8.			2 0 ex dx = e2
9.			ex2 dx = ex2 2x + C
10.			ln x = 1 x
11.			ln x dx = 1 x + C
12.			b a f(x) dx = F(b) F(a), where F is an antiderivative of f.
13.			b a f(x) dx is the area enclosed by the graph of f, the x-axis, and the vertical lines x = a and x = b.
14.			If s(t) represents total sales after t months, then total sales from month a to month b are given by b a s(t) dt.
15.			The left-hand Riemann sum of a continuous function f(x) is always its right-hand Riemann sum.
16.			The trapezoidal Riemann sum of a continuous function f(x) is always midway between its left-hand and right-hand sums.
17.			1 4x2+x dx = ln |4x2+x| + C
18.			The function f(x) = ex2 has an antiderivative involving functions with which we are familiar.
19.			The function f(x) = ex2 has no antiderivative.
20.			If you throw a ball upwards with twice the velocity that I do, then yours will rise twice as far as mine.