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- In Exercises 43–46, find the value(s) of x for which fxgx. f(x)=x2+2x+1,g(x)=5x+19In Exercises 7–10, write a formula for ƒ ∘ g ∘ h. 7. ƒ(x) = x + 1, g(x) = 3x, h(x) = 4 - x 8. ƒ(x) = 3x + 4, g(x) = 2x - 1, h(x) = x2 9. ƒ(x) = sqrt(x + 1), g(x) = 1 /(x+4) , h(x) = 1 /x 10. ƒ(x) = x + 2 /(3 - x) , g(x) = x2 /(x2 + 1) , h(x) = sqrt(2 - x)In Exercises 19–22, show there is a number c, with 0 ≤ c ≤ 1, such that f(c) = 0. 19. F(x) = x3 +x2- 1
- Exercises 121–140: (Refer to Examples 12–14.) Complete the following for the given f(x). (a) Find f(x + h). (b) Find the difference quotient of f and simplify. 121. f(x) = 3 122. f(x) = -5 123. f(x) = 2x + 1 124. f(x) = -3x + 4 %3D 125. f(x) = 4x + 3 126. f(x) = 5x – 6 127. f(x) = -6x² - x + 4 128. f(x) = x² + 4x 129. f(x) = 1 – x² 130. f(x) = 3x² 131. f(x) = 132. /(x) 3D글 = = 132. f(: 133. f(x) = 3x² + 1 134. f(x) = x² –- 2 135. f(x) = -x² + 2r 136. f(x) = -4xr² + 1 137. f(x) = 2x - x +1 138. f(x) = x² + 3x - 2 139. f(x) = x' 140. f(x) = 1 – xFind all the local maxima, local minima, and saddle points of the functions in Exercises 1–10.Find all the local maxima, local minima, and saddle points of thefunctions in Exercises 1–30.
- In Exercises 31–38, find the absolute maxima and minima of the func-tions on the given domains.In Exercises 15–18, find all values of λ for which det(A) = 0.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 error