Biocalculus
15th Edition
ISBN: 9781133109631
Author: Stewart, JAMES, Day, Troy
Publisher: Cengage Learning,
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Chapter 3, Problem 25E
To determine
The derivative
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The graph of
2(x² + y²)² = 25 (x²-y²), shown
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Write the expression for the slope in terms of x and y.
slope =
4x³ + 4xy2-25x
2
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4x²y + 4y³ + 25y
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2y3+xy-y= 250x4; x=1
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y=]
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Chapter 3 Solutions
Biocalculus
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- For a certain product, cost C and revenue R are given as follows, where x is the number of units sold in hundreds. Cost: C² = x² +92√x+56 Revenue: 898(x-6)² + 24R² = 16,224 dC a. Find the marginal cost at x = 6. dx The marginal cost is estimated to be $ ☐ . (Do not round until the final answer. Then round to the nearest hundredth as needed.)arrow_forwardThe graph of 3 (x² + y²)² = 100 (x² - y²), shown in the figure, is a lemniscate of Bernoulli. Find the equation of the tangent line at the point (4,2). АУ -10 10 Write the expression for the slope in terms of x and y. slope =arrow_forwardUse a geometric series to represent each of the given functions as a power series about x=0, and find their intervals of convergence. a. f(x)=5/(3-x) b. g(x)= 3/(x-2)arrow_forward
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