Answer:
The instantaneous velocity of the eagle at the given time is 7.5 m/s.
Step-by-step explanation:
Given;
height of the cliff, h = 125 m
the height at which the eagle is flying, h(t) = 125 + 1.25t²
The velocity of the eagle is given by;
v = dh/dt
v = 2.5t
The instantaneous velocity of the eagle at t = 3 seconds is given by;
v = 2.5(3)
v = 7.5 m/s
Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is 7.5 m/s.
PEMDAS
Parentheses - Exponents - Multiplication/Division - Addition/Subtraction
12 - (2 x 3)
2 x 3 = 6
12 - 6 = 6
Answer:
3/25
Step-by-step explanation:
Extrema can occur when the derivative is zero or undefined.
Maxima occur where the first derivative is zero and the second derivative is negative; minima where the second derivative is positive. You have
At the critical points, you get
So you have a minimum at
and a maximum at
.
Meanwhile, as
, it's clear that
, so these extrema are absolute on the function's domain.
