Name: 1. The graph below show the height h (in feet) of a ball relative to the ground as a function of time t (seconds) after it is tossed straight into the air near the edge of the root of a building (B) 60 50 40 30 20 10 200 © 05 10 15 10 21 10 33 Draw a line tangent to the graph at t = 2 seconds. Find the slope of the line. 2. Find the difference quotient for f(x) = -x² + 2x b. Use the given difference quotient to find the derivative for f(x).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Name:
1. The graph below show the height h (in feet) of a ball relative to the ground as a function of time t (seconds)
after it is tossed straight into the air near the edge of the root of a building
(B)
60
50
40
30
20
10
1044-Applied Calc 1
Week 3 Written Assignment (Topics 6, 7, 8, 9)
©
200
05 10 15 20 21 10 33
Draw a line tangent to the graph att = 2 seconds. Find the slope of
the line.
2. Find the difference quotient for: f(x)=x² + 2x
b. Use the given difference quotient to find the derivative for f(x).
Transcribed Image Text:Name: 1. The graph below show the height h (in feet) of a ball relative to the ground as a function of time t (seconds) after it is tossed straight into the air near the edge of the root of a building (B) 60 50 40 30 20 10 1044-Applied Calc 1 Week 3 Written Assignment (Topics 6, 7, 8, 9) © 200 05 10 15 20 21 10 33 Draw a line tangent to the graph att = 2 seconds. Find the slope of the line. 2. Find the difference quotient for: f(x)=x² + 2x b. Use the given difference quotient to find the derivative for f(x).
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