Let f(t) = 2t - 2 and consider the two area functions and F(x) = a. Evaluate
Question:
Let f(t) = 2t - 2 and consider the two area functions and F(x) =
a. Evaluate A(2) and A(3). Then use geometry to find an expression for A(x), for x ≥1.
b. Evaluate F(5) and F(6). Then use geometry to find an expression for F(x), for x ≥ 4.
c. Show that A(x) - F(x) is a constant and that A'(x) = F'(x) = f(x).
Transcribed Image Text:
S) di A(x) = J¨f(t) dt F(x) = S;f(t) dt.
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a Because the region whose area is is a triangle with base x ...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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