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Let N be the number of applicants to a university, p the charge for food and housing at the university, and t the tuition. Suppose that N is a function of p and t such that ∂N ∂p < 0 and ∂N ∂t < 0. What information is gained by noticing that both partials are negative? The number of applicants will only decrease regardless of change in either p or t.The number of applicants is unaffected by change since both derivatives have the same sign. The number of applicants decreases if both p and t are constant.The number of applicants increases only if both p and t increase.The number of applicants decreases if either p or t increase while the other holds constant.

Let N be the number of applicants to a university, p the charge for food and housing at the university, and t the tuition. Suppose that N is a function of p and t such that ∂N ∂p < 0 and ∂N ∂t < 0. What information is gained by noticing that both partials are negative? The number of applicants will only decrease regardless of change in either p or t.The number of applicants is unaffected by change since both derivatives have the same sign. The number of applicants decreases if both p and t are constant.The number of applicants increases only if both p and t increase.The number of applicants decreases if either p or t increase while the other holds constant.

Calculus: Early Transcendentals
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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Let N be the number of applicants to a university, p the charge for food and housing at the university, and t the tuition. Suppose that N is a function of p and t such that 

∂N
∂p
 < 0

 and 

∂N
∂t
 < 0.

 What information is gained by noticing that both partials are negative?

The number of applicants will only decrease regardless of change in either p or t.The number of applicants is unaffected by change since both derivatives have the same sign.    The number of applicants decreases if both p and t are constant.The number of applicants increases only if both p and t increase.The number of applicants decreases if either p or t increase while the other holds constant.
Let N be the number of applicants to a university, p the charge for food and housing at the university, and t the tuition. Suppose that N is a function of p and t such that <O and < 0. What information is gained by noticing that both partials are negative? O The number of applicants will only decrease regardless of change in either p or t. O The number of applicants is unaffected by change since both derivatives have the same sign. O The number of applicants decreases if both p and t are constant. The number of applicants increases only if both p and t increase. O The number of applicants decreases if either p or t increase while the other holds constant.
Transcribed Image Text:Let N be the number of applicants to a university, p the charge for food and housing at the university, and t the tuition. Suppose that N is a function of p and t such that <O and < 0. What information is gained by noticing that both partials are negative? O The number of applicants will only decrease regardless of change in either p or t. O The number of applicants is unaffected by change since both derivatives have the same sign. O The number of applicants decreases if both p and t are constant. The number of applicants increases only if both p and t increase. O The number of applicants decreases if either p or t increase while the other holds constant.
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