In the following exercises, use the graph of function y = f ( x ) shown here to find the value, if possible. Estimate when necessary. 59. lim x → − 2 − f ( x )
In the following exercises, use the graph of function y = f ( x ) shown here to find the value, if possible. Estimate when necessary. 59. lim x → − 2 − f ( x )
Use the position function
s(t) = −16t2 + 400,
which gives the height (in feet) of an object that has fallen for t seconds from a height of 400 feet. The velocity at time
t = a seconds
is given by
lim t→a
s(a) − s(t)
a − t
.
A construction worker drops a full paint can from a height of 400 feet. How fast will the paint can be falling, in feet per second, after 2 seconds?
Find the domain of the function f(x) = V15x – 3.
%3D
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(Write the domain in interval notation.)
Use the position function
s(t) = −16t2 + 500,
which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time
t = a seconds
is given by
lim s(a) − s(t)/ a − tt→a
A construction worker drops a full paint can from a height of 500 feet. When, in seconds, will the paint can hit the ground?
At what velocity, in feet per second, will the paint can impact the ground?
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
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Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY