34.4k views
5 votes
Calculus Help Please I know how to do Number 3 I just need help with detailed explaination of 1 and 2

Calculus Help Please I know how to do Number 3 I just need help with detailed explaination-example-1
User AQuirky
by
8.6k points

1 Answer

5 votes

(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.

User Joao Luiz Cadore
by
7.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories