In Exercises 1–10, evaluate the given
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Chapter 6 Solutions
Applied Calculus
- In Exercises 27–34, calculate the composite functions f og and g o f, and determine their domains. 27. f(x) = /x, g(x)=x +1 28. f(x)= g(x) = x-4 29. f(x) — 2*, 8(x) — х2 %3D 30. f(x)= |x|, g(0)=sin0 31. f(0) = cos 0, g(x)=x³ +x² 32. f(x)= 8(x) = x-2 x2 +1'arrow_forwardIn Exercises 35–42, find all real values of x for which fx0. f(x)=x2−6x−16arrow_forwardCalculate z6 where z = 1 – 2j. [Hint: Pascal's triangle.] Calculate z10 where z = √3-j. [Hint: Use the exponential form and De Moivre's theorem.]arrow_forward
- In Exercises 45–50, use Taylor’s Theorem to obtain an upper bound for the error of the approximation. Then calculate the exact value of the errorarrow_forwardSection 5.7 p. 613 # 398, 402 In the following exercises, find each indefinite integral, using appropriate substitutions. dx V1-16x 398. dx |x|/4x² -16 402.arrow_forwardIn Exercises 1–14, to establish a big-O relationship, find wit- nesses C and k such that [f(x) k. 1. Determine whether each of these functions is O(x). a) f(x) = 10 c) f(x) = x² +x+ 1 e) f(x) = [x] b) f(x) — Зх +7 d) f(x) = 5 log x f) f(x) = [x/2] %3D %3Darrow_forward
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