Typing speed the function w(t)=-3.75t^2+30t+40 describes a typist’s speed (in words per minute) over a time interval [0, 5].
a. find w(0).
b. find the maximu w value and the time t when it occurs.
c. find the average speed over [0, 5].

a) 66.25

b) 100

c) 83.75

Step-by-step explanation:

We are given

a)

b) Maximum value can be found by taking derivative of W(t) with respect to t.

So, t = 4 is absolute maximum.

Thus, maximum value of W(t) is occured at t = 4.

c) Average value can be found as follows,

move it to the other side

step-by-step explanation:

if you was gonna solve for a, a is a   < -12