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I. Read carefully the statements below. Write TRUE If the statement is always correct, otherwise, FALSE. Use the space provided before each item. (1 point each) 1. There is no function f(x) such that f(x) = f(x) + C. 2. If f(x) and g(x) are continuous functions, then Jue) 9(e) dx = [rx)dx- [ g(x)dx. _3. If ((x) and g(x) are continuous functions, then Jra + g()] dx = 9(x)dx + f(2)dx. 4. If /(x) and g(x) are continuous functions, then dx= -5. /idx-Inlxl + Cand /글 dx-Inlx리 + C. 6. fx" = 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). + C, for any real number n.

I. Read carefully the statements below. Write TRUE If the statement is always correct, otherwise, FALSE. Use the space provided before each item. (1 point each) 1. There is no function f(x) such that f(x) = f(x) + C. 2. If f(x) and g(x) are continuous functions, then Jue) 9(e) dx = [rx)dx- [ g(x)dx. _3. If ((x) and g(x) are continuous functions, then Jra + g()] dx = 9(x)dx + f(2)dx. 4. If /(x) and g(x) are continuous functions, then dx= -5. /idx-Inlxl + Cand /글 dx-Inlx리 + C. 6. fx" = 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). + C, for any real number n.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 96E
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Talk N Text ull X A O * N 391 #7:34 Read carefully the statements below. Write TRUE if the statement is always correct, otherwise, FALSE. Use the space provided before each item. (1 point each) I. There is no function f(x) such that f(x) - f(x) + C. 2. If f(x) and g(x) are continuous functions, then 1. (Ư®)• g(x)] dx = [r(x)dx• [ g(x)dx. If f(x) and g(x) are continuous functions, then Jrm+g(x)]dx = [ g(x)dx+ | f(x)dx. 4. If (x) and g(x) are continuous functions, then dx _5. Sdx = In|x| + Cc and fdx = In]x*| + C. 6. fx" - +C, for any real number n. 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. 12. If a population grows exponentially, the doubling time is given by t =2, where Ik is the growth constant. MULTIPL E CHOICE Read and VX
Transcribed Image Text:Talk N Text ull X A O * N 391 #7:34 Read carefully the statements below. Write TRUE if the statement is always correct, otherwise, FALSE. Use the space provided before each item. (1 point each) I. There is no function f(x) such that f(x) - f(x) + C. 2. If f(x) and g(x) are continuous functions, then 1. (Ư®)• g(x)] dx = [r(x)dx• [ g(x)dx. If f(x) and g(x) are continuous functions, then Jrm+g(x)]dx = [ g(x)dx+ | f(x)dx. 4. If (x) and g(x) are continuous functions, then dx _5. Sdx = In|x| + Cc and fdx = In]x*| + C. 6. fx" - +C, for any real number n. 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. 12. If a population grows exponentially, the doubling time is given by t =2, where Ik is the growth constant. MULTIPL E CHOICE Read and VX
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