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_5. SEdx = In\x| + C and Sdx = In]x²| + C. _6. Sx" = _7. If G(x) is an antiderivative of g(x) and F(x) = G(x) – 5, then F(x) is also an antiderivative of g(x). %3D %3D xn+1 + C, for any real number n. %3D n+1 %3D

_5. SEdx = In\x| + C and Sdx = In]x²| + C. _6. Sx" = _7. If G(x) is an antiderivative of g(x) and F(x) = G(x) – 5, then F(x) is also an antiderivative of g(x). %3D %3D xn+1 + C, for any real number n. %3D n+1 %3D

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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_5. SEdx = In\x| + C and Sdx = In|x²| + C. %3D xn+1 + C , for any real number n. _6. Sx" = _7. If G(x) is an antiderivative of g(x) and F (x) = G(x) – 5, then F(x) is also an antiderivative of g(x). _8. 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). _11. The differential equation = xy – y + x is separable. n+1 dy %3D dx In 2 where _12. If a population grows exponentially, the doubling time is given by t = k is the growth constant.
Transcribed Image Text:_5. SEdx = In\x| + C and Sdx = In|x²| + C. %3D xn+1 + C , for any real number n. _6. Sx" = _7. If G(x) is an antiderivative of g(x) and F (x) = G(x) – 5, then F(x) is also an antiderivative of g(x). _8. 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). _11. The differential equation = xy – y + x is separable. n+1 dy %3D dx In 2 where _12. If a population grows exponentially, the doubling time is given by t = k is the growth constant.
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