1. Suppose that the quantity r is 1000's, and price p in dollars are related by the price demand equation x² + 5px + 10p = 220 da dt dp dt a) Use implicit differentiation to find an equation involving and b) If the price of the commodity is decreasing at a rate of $1 per month when the price is $2 and demand is 10. Find the rate of change of demand.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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1. Suppose that the quantity r is 1000's, and price p in dollars are related by the price demand equation
x² + 5px + 10p = 220
dx
dt
dp
dt
a) Use implicit differentiation to find an equation involving
and
b) If the price of the commodity is decreasing at a rate of $1 per month when the price is $2 and demand is 10. Find
the rate of change of demand.
Transcribed Image Text:1. Suppose that the quantity r is 1000's, and price p in dollars are related by the price demand equation x² + 5px + 10p = 220 dx dt dp dt a) Use implicit differentiation to find an equation involving and b) If the price of the commodity is decreasing at a rate of $1 per month when the price is $2 and demand is 10. Find the rate of change of demand.
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