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
-
(Write the domain in interval notation.)
Starting with the graph of f(x) = 4ª, write the formula for the function that results from
(a) shifting f(x) 1 units downward. y =
4* – 1
(b) shifting f(x) 5 units to the right. y =
(c) reflecting f(x) about the x-axis. y
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