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: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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