Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter 3.7, Problem 46PS
To determine
To find the rate of change of volume.
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3. Use the method of washers to find the volume of the solid that is obtained
when the region between the graphs f(x) = √√2 and g(x) = secx over the
interval ≤x≤ is rotated about the x-axis.
4. Use cylindrical shells to find the volume of the solid generated when the
region enclosed by the given curves is revolved about the x-axis.
y = √√x, y = 0, y = √√3
5
4
3
21
N
-5-4-3-2
-1
-2
-3
-4
1 2 3 4 5
-5+
Write an equation for the function graphed above
y =
Chapter 3 Solutions
Calculus
Ch. 3.1 - Prob. 1PSCh. 3.1 - Prob. 2PSCh. 3.1 - Prob. 3PSCh. 3.1 - Prob. 4PSCh. 3.1 - Prob. 5PSCh. 3.1 - Prob. 6PSCh. 3.1 - Prob. 7PSCh. 3.1 - Prob. 8PSCh. 3.1 - Prob. 9PSCh. 3.1 - Prob. 10PS
Ch. 3.1 - Prob. 11PSCh. 3.1 - Prob. 12PSCh. 3.1 - Prob. 13PSCh. 3.1 - Prob. 14PSCh. 3.1 - Prob. 15PSCh. 3.1 - Prob. 16PSCh. 3.1 - Prob. 17PSCh. 3.1 - Prob. 18PSCh. 3.1 - Prob. 19PSCh. 3.1 - Prob. 20PSCh. 3.1 - Prob. 21PSCh. 3.1 - Prob. 22PSCh. 3.1 - Prob. 23PSCh. 3.1 - Prob. 24PSCh. 3.1 - Prob. 25PSCh. 3.1 - Prob. 26PSCh. 3.1 - Prob. 27PSCh. 3.1 - Prob. 28PSCh. 3.1 - Prob. 29PSCh. 3.1 - Prob. 30PSCh. 3.1 - Prob. 31PSCh. 3.1 - Prob. 32PSCh. 3.1 - Prob. 33PSCh. 3.1 - Prob. 34PSCh. 3.1 - Prob. 35PSCh. 3.1 - Prob. 36PSCh. 3.1 - Prob. 37PSCh. 3.1 - Prob. 38PSCh. 3.1 - Prob. 39PSCh. 3.1 - Prob. 40PSCh. 3.1 - Prob. 41PSCh. 3.1 - Prob. 42PSCh. 3.1 - Prob. 43PSCh. 3.1 - Prob. 44PSCh. 3.1 - Prob. 45PSCh. 3.1 - Prob. 46PSCh. 3.1 - Prob. 47PSCh. 3.1 - Prob. 48PSCh. 3.1 - Prob. 49PSCh. 3.1 - Prob. 50PSCh. 3.1 - Prob. 51PSCh. 3.1 - Prob. 52PSCh. 3.1 - Prob. 53PSCh. 3.1 - Prob. 54PSCh. 3.1 - Prob. 55PSCh. 3.1 - Prob. 56PSCh. 3.1 - Prob. 57PSCh. 3.1 - Prob. 58PSCh. 3.1 - Prob. 59PSCh. 3.1 - Prob. 60PSCh. 3.2 - 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Prob. 58PSCh. 3.7 - Prob. 59PSCh. 3.7 - Prob. 60PSCh. 3.8 - Prob. 1PSCh. 3.8 - Prob. 2PSCh. 3.8 - Prob. 3PSCh. 3.8 - Prob. 4PSCh. 3.8 - Prob. 5PSCh. 3.8 - Prob. 6PSCh. 3.8 - Prob. 7PSCh. 3.8 - Prob. 8PSCh. 3.8 - Prob. 9PSCh. 3.8 - Prob. 10PSCh. 3.8 - Prob. 11PSCh. 3.8 - Prob. 12PSCh. 3.8 - Prob. 13PSCh. 3.8 - Prob. 14PSCh. 3.8 - Prob. 15PSCh. 3.8 - Prob. 16PSCh. 3.8 - Prob. 17PSCh. 3.8 - Prob. 18PSCh. 3.8 - Prob. 19PSCh. 3.8 - Prob. 20PSCh. 3.8 - Prob. 21PSCh. 3.8 - Prob. 22PSCh. 3.8 - Prob. 23PSCh. 3.8 - Prob. 24PSCh. 3.8 - Prob. 25PSCh. 3.8 - Prob. 26PSCh. 3.8 - Prob. 27PSCh. 3.8 - Prob. 28PSCh. 3.8 - Prob. 29PSCh. 3.8 - Prob. 30PSCh. 3.8 - Prob. 31PSCh. 3.8 - Prob. 32PSCh. 3.8 - Prob. 33PSCh. 3.8 - Prob. 34PSCh. 3.8 - Prob. 35PSCh. 3.8 - Prob. 36PSCh. 3.8 - Prob. 37PSCh. 3.8 - Prob. 38PSCh. 3.8 - Prob. 39PSCh. 3.8 - Prob. 40PSCh. 3.8 - Prob. 41PSCh. 3.8 - Prob. 42PSCh. 3.8 - Prob. 43PSCh. 3.8 - Prob. 44PSCh. 3.8 - Prob. 45PSCh. 3.8 - Prob. 46PSCh. 3.8 - Prob. 47PSCh. 3.8 - Prob. 48PSCh. 3.8 - 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- 6 5 4 3 2 1 -5 -4-3-2-1 1 5 6 -1 23 -2 -3 -4 -5 The graph above is a transformation of the function f(x) = |x| Write an equation for the function graphed above g(x) =arrow_forwardThe graph of y x² is shown on the grid. Graph y = = (x+3)² – 1. +10+ 69 8 7 5 4 9 432 6. 7 8 9 10 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5 -6- Clear All Draw:arrow_forwardSketch a graph of f(x) = 2(x − 2)² − 3 4 3 2 1 5 ས་ -5 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 -5+ Clear All Draw:arrow_forward
- 5. Find the arc length of the curve y = 3x³/2 from x = 0 to x = 4.arrow_forward-6 -5 * 10 8 6 4 2 -2 -1 -2 1 2 3 4 5 6 -6 -8 -10- The function graphed above is: Concave up on the interval(s) Concave down on the interval(s) There is an inflection point at:arrow_forward6 5 4 3 2 1 -6 -5 -3 -2 3 -1 -2 -3 -4 -5 The graph above is a transformation of the function x² Write an equation for the function graphed above g(x) =arrow_forward
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- Let f(x) = 4√√ If g(x) is the graph of f(x) shifted up 6 units and right 3 units, write a formula for g(x) g(x)=arrow_forwardSketch a graph of f(x) = −2|x − 3| +2 5 4 3 2 1 -5 -4 -3-2 -1 -1 -2 -3 -4 -5+ Clear All Draw: -2 3 4arrow_forward3 y 7 Find the length of the curve x= + on 3 ≤ y ≤5. 21 4yarrow_forward
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