Question

asked 2021-05-30

Let \(g(x) = \int_0^x f(t) dt\) where f is the function whose graph is shown in the figure.

(a) Estimate g(0), g(2), g(4), g(6), and g(8).

(b) Find the largest open interval on which g is increasing. Find the largest open interval on which g is decreasing.

(c) Identify any extrema of g.

(d) Sketch a rough graph of g.

(a) Estimate g(0), g(2), g(4), g(6), and g(8).

(b) Find the largest open interval on which g is increasing. Find the largest open interval on which g is decreasing.

(c) Identify any extrema of g.

(d) Sketch a rough graph of g.

asked 2021-06-03

Let \(P(x)=F(x)G(x)\) and \(Q(x)=\frac{F(x)}{G(x)}\), where F and G are the functions whose graphs are shown.

a) Find \(P'(2)\)

b) Find \(Q'(7)\)

a) Find \(P'(2)\)

b) Find \(Q'(7)\)

asked 2021-05-17

a)\(\int_0^{10}g(x)dx\)

b)\(\int_{10}^{30}g(x)dx\)

c)\(\int_0^{35}g(x)dx\)

asked 2021-02-19

\(\displaystyle{\int_{{0}}^{{35}}}{g{{\left({x}\right)}}}{\left.{d}{x}\right.}\)