hw2-12-1

hw2-12-1 - Homework 2/12 Identify each problem as: Type I:...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Homework 2/12 Identify each problem as: Type I: Given location, ﬁnd slope, or Type II: Given slope, ﬁnd location. Then solve each problem. 1. An object is launched upward from a tower so that after t seconds its height above ground is h(t) = 100 + 60t − 16t2 feet. (a) What is its velocity after 1 second? (b) What is its velocity after 3 seconds? (c) When is its velocity −60 ft/s? (d) What is its velocity at the time when it hits the ground? (e) How high is it when its velocity is −68 ft/s? 2. The graph of f (x) = x3 − x2 (shown at right) has two tangent lines with slope 1. 1 (a) Find the equations of those lines. (b) Sketch them in the graph at right. 0.5 –1 –0.5 0.5 0 –0.5 –1 –1.5 –2 1 1 1.5 1 has a tangent line x that passes through (0, 1.5) as shown at right. 3. 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 –0.5 1 2 x –1 Hints and Answers 1. a) (I) 28 ft/s; b) (I) −36 ft/s; c) (II) 3.75 s; d) (I) −100 ft/s; e) (II) 84 ft. 2. Hint: One of the locations is x = −1/3. 3. a) (II) x = 4/3; b) (I) y = −x/4 + 1. 2 3 4 ...
View Full Document

This note was uploaded on 10/12/2011 for the course MATH 170 taught by Professor Staff during the Spring '08 term at Boise State.

Page1 / 2

hw2-12-1 - Homework 2/12 Identify each problem as: Type I:...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online