If the integrand is positive the antiderivative is also positive. 9. The antiderivative of a function is not unique. _10. If G(x) is an antiderivative of g(x) then y = G(x) is a solution to the differential dy equation = g(x). _11. The differential equation " = xy – y + x is separable. dx dx _12. If a population grows exponentially, the doubling time is given by t = k is the growth constant. where

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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If the integrand is positive the antiderivative is also positive.
9. The antiderivative of a function is not unique.
_10. If G(x) is an antiderivative of g(x) then y = G(x) is a solution to the differential
equation = g(x).
dy
dx
11. The differential equation = xy – y + x is separable.
dx
In 2
_12. If a population grows exponentially, the doubling time is given by t =
k is the growth constant.
where
Transcribed Image Text:If the integrand is positive the antiderivative is also positive. 9. The antiderivative of a function is not unique. _10. If G(x) is an antiderivative of g(x) then y = G(x) is a solution to the differential equation = g(x). dy dx 11. The differential equation = xy – y + x is separable. dx In 2 _12. If a population grows exponentially, the doubling time is given by t = k is the growth constant. where
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