Answer:
a) , b) .
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.
b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:
The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:
According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:
The exact solution is , indicating that graphic solution leads to a good approximation.
Answer:
12 = x
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
180 - (5% × 180)
180 - 5% × 180
(1 - 5%) × 180
(100% - 5%) × 180
95% × 180
95 ÷ 100 × 180
95 × 180 ÷ 100
17,100 ÷ 100 = 171.
Answer:
The average rate of change
At t = 1
at t=3
Step-by-step explanation:
<u><em>Step(I)</em></u>:-
The given function h(t) = 3+70t - 16t²
The
70 - 32 t = 0
⇒ 70 = 32 t
⇒
<em>Step(ii</em>):-
The average rate of change in h(t) between t = 1 second and t = 3 second
At t = 1
At t = 3