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adoni [48]
3 years ago
15

Calculus Help Please I know how to do Number 3 I just need help with detailed explaination of 1 and 2

Mathematics
1 answer:
worty [1.4K]3 years ago
6 0

(1) Using a trapezoidal sum, we approximate the integral by

\displaystyle\int_0^8R(t)\,\mathrm dt\approx\frac{(R(0)+R(2))(2-0)+(R(3)+R(2))(3-2)+(R(7)+R(3))(7-3)+(R(8)+R(7))(8-7)}2

\displaystyle\int_0^8R(t)\,\mathrm dt\approx24.830

measured in gallons of water.

(2) Notice that the table shows the specific values of R(t) increasing, meaning R'(t)>0. There's not enough evidence to suggest that we have R'(t)=0 at any time.

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