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Unformatted text preview: Homework 9/18
Identify each problem as type: ”Given location, ﬁnd slope,” or: ”Given slope, ﬁnd location.”
Then solve each problem.
1. An object is dropped from a tower so that after t seconds its height above ground is h(t) =
100 − 16t2 feet.
(a) What is its velocity after 2 seconds?
(b) When is its velocity −60 ft/s?
(c) What is its velocity at the time when it hits the ground?
(d) How high is it when its velocity is −48 ft/s?
has a tangent line
that passes through (0, 1.5) as shown at
right. 2. The graph of f (x) = 2
1.5 (a) Where is the point of tangency?
1 (b) Find the equation of the tangent line
at the point (2, 0.5). Sketch this line
in the graph at right. 0.5
–1 0 1 –0.5 2 3 x –1 3. Find the slope of the tangent to y = sin(2x) at the point x = 1.
4. Find one point on the graph of y = sin(2x) where the slope of the tangent line is 1. 1 4 ...
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