Consider the function on the interval (0, 2π). f(x) = 7 sin2(x) + 7 sin(x) (a) find the open interval(s) on which the function is increasing or decreasing. (enter your answers using interval notation.) increasing decreasing (b) apply the first derivative test to identify all relative extrema. relative maxima (x, y) = (smaller x-value) (x, y) = (larger x-value) relative minima (x, y) = (smaller x-value) (x, y) = (larger x-value)

Answer with Step-by-step explanation:

Given

Differentiating both sides by 'x' we get

Now we know that for an increasing function we have

Similarly for decreasing function we have

Part b)

To find the extreme points we equate the derivative with 0

Thus point of extrema is only 1.

a

step-by-step explanation:

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2