Graphs of Inverse Functions Have Reciprocal Slopes In Exercises 13-16, show that the slopes or the graphs of f and f − 1 are reciprocals at the given points. Function Point f ( x ) = x 3 ( 1 2 , 1 8 ) f − 1 ( x ) = x 3 ( 1 8 , 1 2 )
Graphs of Inverse Functions Have Reciprocal Slopes In Exercises 13-16, show that the slopes or the graphs of f and f − 1 are reciprocals at the given points. Function Point f ( x ) = x 3 ( 1 2 , 1 8 ) f − 1 ( x ) = x 3 ( 1 8 , 1 2 )
Solution Summary: The author proves that the slopes of the graphs are reciprocals at the given points.
Graphs of Inverse Functions Have Reciprocal Slopes In Exercises 13-16, show that the slopes or the graphs of f and
f
−
1
are reciprocals at the given points.
Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
Chapter 3 Solutions
Calculus: Early Transcendental Functions (MindTap Course List)
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