The height of a golf ball, in meters, x seconds after it has been hit is given by the expression -4.9x^(2) +4.8x+0.1 . When does
2 answers:
Answer:
t = 1 second
Step-by-step explanation:
The height of a golf ball, in meters, x seconds after it has been hit is given by the expression.
We need to find the time when the ball will hit the ground.
When it hits the ground, h=0
It is a quadratic equation. The solution of the above equation is :
x = 1 seconds, x = -0.02 seconds
Hence, after 1 second the ball will hit the ground.
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Answer:
a)
b)
c)
Step-by-step explanation:
For total cost function , average cost is given by
i.e., total cost divided by number of units produced.
Marginal average cost function refers to derivative of the average cost function i.e.,
Given:
Average cost =
a)
At x = 50 units,
b)
Average cost =
c)
Marginal average cost:
Differentiate average cost with respect to
Take
using quotient rule,
Therefore,
Answer: (a) e ^ -3x (b)e^-3x
Step-by-step explanation:
I suggest the equation is:
d/dx[integral (e^-3t) dt
First we integrate e^-3tdt
Integral(e ^ -3t dt) as shown in attachment and then we differentiate the result as shown in the attachment.
(b) to differentiate the integral let x = t, and substitute into the expression.
Therefore dx = dt
Hence, d/dx[integral (e ^-3x dx)] = e^-3x
