1. velocity is s', or ds/dt=9.8t
2. dC/dx=2x
average rate of change= (c(103)-c(100))/3
3.
from the - side, lim=-( abs(-e)/-e=1
I have three questions I need help solving
1) A ball's position, in meters, as it travels every second is represented by the position function s(t) = 4.9t2 + 550.
What is the velocity of the ball after 3 seconds?
2) The cost in dollars of producing x units of a particular telephone is C(x) = x^2 - 2500.
- Find the average rate of change of C with respect to x when the production level is changed from x = 100 to x = 103. Include units in your answer.
- Find the instantaneous rate of change of C with respect to x when x = 100. Include units in your answer.
3) Find lim --> 4- (|x-4|)/(x-4)
(limit approaches from the left hence the negative sign)
Thank you in advance
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