The graph of $f(t)$ is in Figure $5.40 .$ Which of the following four numbers could be an estimate of $\int_{0}^{1} f(t) d t$ accurate to two decimal places? Explain your choice. I. -98.35 II. 71.84 III. 100.12 IV. 93.47
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If the function is above the x-axis, the area is positive; if it's below, the area is negative. Looking at the graph of the function, we can see that it is above the x-axis over the interval [0,1]. Show more…
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The graph of a function $f(t)$ is given in Figure 5.29 Which of the following four numbers could be an estimate of $\int_{0}^{1} f(t) d t$ accurate to two decimal places? Explain how you chose your answer. (a) -98.35 (b) 71.84 (c) 100.12 (d) 93.47 (FIGURE CAN'T COPY.)
Key Concept: The Definite Integral
The Definite Integral
The g r a p h o f a f u n c t i o n f ( t ) i s g i v e n b e l o w . W h i c h o f t h e f o l l o w i n g f o u r n u m b e r s c o u l d b e a n e s t i m a t e o f ∫ ₀ ¹ f ( t ) d t ? 1 0 0 . 1 2 - 9 8 . 3 5 9 3 . 4 7 7 1 . 8 4
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