APPLIED CALCULUS (WILEY PLUS)
6th Edition
ISBN: 9781119399322
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 10.3, Problem 13P
To determine
(a)
Using the data from Problem 12, estimate how long the natural gas reserves will last assuming the rate of increase is 0%.
To determine
(b)
Using the data from Problem 12, estimate how long the natural gas reserves will last assuming the rate of increase is 5%.
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The graph of
2(x² + y²)² = 25 (x²-y²), shown
in the figure, is a lemniscate of
Bernoulli. Find the equation of the
tangent line at the point (3,1).
-10
Write the expression for the slope in terms of x and y.
slope =
4x³ + 4xy2-25x
2
3
4x²y + 4y³ + 25y
Write the equation for the line tangent to the point (3,1).
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Chapter 10 Solutions
APPLIED CALCULUS (WILEY PLUS)
Ch. 10.1 - Prob. 1PCh. 10.1 - Prob. 2PCh. 10.1 - Prob. 3PCh. 10.1 - Prob. 4PCh. 10.1 - Prob. 5PCh. 10.1 - Prob. 6PCh. 10.1 - Prob. 7PCh. 10.1 - Prob. 8PCh. 10.1 - Prob. 9PCh. 10.1 - Prob. 10P
Ch. 10.1 - Prob. 11PCh. 10.1 - Prob. 12PCh. 10.1 - Prob. 13PCh. 10.1 - Prob. 14PCh. 10.1 - Prob. 15PCh. 10.1 - Prob. 16PCh. 10.1 - Prob. 17PCh. 10.1 - Prob. 18PCh. 10.1 - Prob. 19PCh. 10.1 - Prob. 20PCh. 10.1 - Prob. 21PCh. 10.1 - Prob. 22PCh. 10.1 - Prob. 23PCh. 10.1 - Prob. 24PCh. 10.1 - Prob. 25PCh. 10.1 - Prob. 26PCh. 10.1 - Prob. 27PCh. 10.1 - Prob. 28PCh. 10.1 - Prob. 29PCh. 10.1 - Prob. 30PCh. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.2 - Prob. 7PCh. 10.2 - Prob. 8PCh. 10.2 - Prob. 9PCh. 10.2 - Prob. 10PCh. 10.2 - Prob. 11PCh. 10.2 - Prob. 12PCh. 10.2 - Prob. 13PCh. 10.2 - Prob. 14PCh. 10.2 - Prob. 15PCh. 10.2 - Prob. 16PCh. 10.2 - Prob. 17PCh. 10.2 - Prob. 18PCh. 10.2 - Prob. 19PCh. 10.2 - Prob. 20PCh. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - Prob. 3PCh. 10.3 - Prob. 4PCh. 10.3 - Prob. 5PCh. 10.3 - Prob. 6PCh. 10.3 - Prob. 7PCh. 10.3 - Prob. 8PCh. 10.3 - Prob. 9PCh. 10.3 - Prob. 10PCh. 10.3 - Prob. 11PCh. 10.3 - Prob. 12PCh. 10.3 - Prob. 13PCh. 10.3 - Prob. 14PCh. 10.3 - Prob. 15PCh. 10.3 - Prob. 16PCh. 10.3 - Prob. 17PCh. 10.3 - Prob. 18PCh. 10.3 - Prob. 19PCh. 10.3 - Prob. 20PCh. 10 - Prob. 1SYUCh. 10 - Prob. 2SYUCh. 10 - Prob. 3SYUCh. 10 - Prob. 4SYUCh. 10 - Prob. 5SYUCh. 10 - Prob. 6SYUCh. 10 - Prob. 7SYUCh. 10 - Prob. 8SYUCh. 10 - Prob. 9SYUCh. 10 - Prob. 10SYUCh. 10 - Prob. 11SYUCh. 10 - Prob. 12SYUCh. 10 - Prob. 13SYUCh. 10 - Prob. 14SYUCh. 10 - Prob. 15SYUCh. 10 - Prob. 16SYUCh. 10 - Prob. 17SYUCh. 10 - Prob. 18SYUCh. 10 - Prob. 19SYUCh. 10 - Prob. 20SYUCh. 10 - Prob. 21SYUCh. 10 - Prob. 22SYUCh. 10 - Prob. 23SYUCh. 10 - Prob. 24SYUCh. 10 - Prob. 25SYUCh. 10 - Prob. 26SYUCh. 10 - Prob. 27SYUCh. 10 - Prob. 28SYUCh. 10 - Prob. 29SYUCh. 10 - Prob. 30SYU
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