Question 8-5 part (c) 9(t) = +t+?Vi(Ъ)(c) h(r) 3-2" +2.3"(d) r(2) =8-3. Repeat Exercise 8-2, but now find the unique anti-derivative satisfying the initial conditionbelow:(a) F(1) = 15(b) G(0) = -5(c) H(1) = 0(d) R(0) = 48-4. Find all such f(t) such that f"(t) = e + t48-5. (a) Find an anti-derivative of f(r) e2".(b) Find an anti-derivative of g(r) = 2-".(c) Generalize the above results as follows. Suppose that F is an anti-derivative of f. Findan anti-derivative of the new function g(r) f(ax).8-6. Evaluate the integrals:(a) /24+u?(d)(1+x+ x²) drdu(ь)(b)VEtz?dz(z +e) dr(e)(c) / (2x – e*)8-7. Find the derivative of the functions:dz24+1u²-1= / In(t) dt(c) g(x) = /|(a) h(z):-3z(d) r(x) =J2zduu2+1

Name: Question 8-5 part (c) 9(t) = +t+?Vi(Ъ)(c) h(r) 3-2" +2.3"(d) r(2) =8-3
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Description: Question 8-5 part (c) 9(t) = +t+?Vi(Ъ)(c) h(r) 3-2" +2.3"(d) r(2) =8-3. Repeat Exercise 8-2, but now find the unique anti-derivative satisfying the initial conditionbelow:(a) F(1) = 15(b) G(0) = -5(c) H(1) = 0(d) R(0) = 48-4. Find all such f(t) such

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Calculus

(b) Find an anti-derivative of g(r) = 2-4. (c) Generalize the above results as follows. Suppose that F is an anti-derivative of f. Find an anti-derivative of the new function g(x) f(ar). %3D Evaluate the integrals:

(b) Find an anti-derivative of g(r) = 2-4. (c) Generalize the above results as follows. Suppose that F is an anti-derivative of f. Find an anti-derivative of the new function g(x) f(ar). %3D Evaluate the integrals:

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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