Answer:
Since f′>0, f is strictly increasing, so if f(0)=0, you will have f>0 if x>0 and f<0 if x<0. There is no need to consider the second derivative.
Step-by-step explanation:
Answer:
D' (1, 3)
Step-by-step explanation:
When reflected across the y = x line, the "x" and "y" coordinates switch.
If D is (3, 1), then:
x = 3
y = 1
Switch the "x" and "y" values, and rewrite as (x, y).
x = 1
y = 3
D' (1, 3)
Since 85 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 85?" will have an infinite number of decimals.
Answer:
t = 3 seconds
Step-by-step explanation:
Here h(t) = -16t^2 + 144.
When the quarter hits the ground, its height will be 0 feet. Letting h(t) = 0 results in -16t^2 + 144 = 0, or 16t^2 = 144, or
144
t^2 = ------------ = 36/4 = 9 seconds^2
16
Therefore, the time, t, required for the quarter to hit the ground is t = √9, or t = 3 seconds
