Finding the Slope of a Graph In Exercises 37-44, find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. See Examples 3 and 9. f ( x ) = 3 ( 5 − x ) 2 ; ( 5 , 0 )
Finding the Slope of a Graph In Exercises 37-44, find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. See Examples 3 and 9. f ( x ) = 3 ( 5 − x ) 2 ; ( 5 , 0 )
Finding the Slope of a Graph In Exercises 37-44, find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. See Examples 3 and 9.
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 2 Solutions
Bundle: Calculus: An Applied Approach, Loose-Leaf Version, 10th + WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term
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