For Problems 34–39 , let h ( x ) = f ( x ) ⋅ g ( x ) , and k ( x ) = f ( x ) / g ( x ) , and l ( x ) = g ( x ) / f ( x ) . Use Figure 3.15 to estimate the derivatives. Figure 3.15 h ′ ( 1 )
For Problems 34–39 , let h ( x ) = f ( x ) ⋅ g ( x ) , and k ( x ) = f ( x ) / g ( x ) , and l ( x ) = g ( x ) / f ( x ) . Use Figure 3.15 to estimate the derivatives. Figure 3.15 h ′ ( 1 )
Author: Deborah Hughes-Hallett, William G. McCallum, Andrew M. Gleason, Daniel E. Flath, Patti Frazer Lock, Sheldon P. Gordon, David O. Lomen, David Lovelock, Brad G. Osgood, Andrew Pasquale, Douglas Quinney, Jeff Tecosky-Feldman, Joseph Thrash, Karen R. Rhea, Thomas W. Tucker
For Problems 34–39, let
h
(
x
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=
f
(
x
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⋅
g
(
x
)
, and
k
(
x
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=
f
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x
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/
g
(
x
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, and
l
(
x
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=
g
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x
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/
f
(
x
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. Use Figure 3.15 to estimate the derivatives.
For each graph in Figure 16, determine whether f (1) is larger or smaller than the slope of the secant line between x = 1 and x = 1 + h for h > 0.
Explain your reasoning
Points z1 and z2 are shown on the graph.z1 is at (4 real,6 imaginary), z2 is at (-5 real, 2 imaginary)Part A: Identify the points in standard form and find the distance between them.Part B: Give the complex conjugate of z2 and explain how to find it geometrically.Part C: Find z2 − z1 geometrically and explain your steps.
A polar curve is represented by the equation r1 = 7 + 4cos θ.Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.Part B: Is the curve symmetrical to the polar axis or the line θ = pi/2 Justify your answer algebraically.Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?
Chapter 3 Solutions
Calculus: Single And Multivariable, 7e Student Solutions Manual
University Calculus: Early Transcendentals (4th 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