In Problems 1–18 use Definition 7.1.1 to find
3.
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FIRST CRSE.IN DIFF.EQUAT..-ACCESS
- * 1.3 • If f(x) = 1. D; = R Rf = {1,0} 2. D; = [1,00) Rf = [0, c0) 3. D; = R R; = {1,–1} 4. D; = [1,00) R; = {1,0} then, %3D %3D %3Darrow_forward1. Give the definition of each of the following (a) Z+ (b) F (Z+, R) (c) A (f)(x) (d) x (3) (e) x(-3)arrow_forwardEstimate R3, M3, and L6 over [0, 1.5] for the function in Figure 17. 0.5 1.0 15 FIGURE 17 2.arrow_forward
- In Problems 23–30, use the given zero to find the remaining zeros of each function. 23. f(x) = x - 4x² + 4x – 16; zero: 2i 24. g(x) = x + 3x? + 25x + 75; zero: -5i 25. f(x) = 2x* + 5x + 5x? + 20x – 12; zero: -2i 26. h(x) = 3x4 + 5x + 25x? + 45x – 18; zero: 3i %3D 27. h(x) = x* – 9x + 21x? + 21x – 130; zero: 3 - 2i 29. h(x) = 3x³ + 2x* + 15x³ + 10x2 – 528x – 352; zero: -4i 28. f(x) = x* – 7x + 14x2 – 38x – 60; zero:1 + 3i 30. g(x) = 2x – 3x* – 5x – 15x² – 207x + 108; zero: 3iarrow_forward5. Determine the condition for all equations/cases (not just one example) that is needed if: [✓✓✓] b. g(f(x)) = 0 a. a) f(x) = g(x) c. f(g(x)) = 1arrow_forwardIn Problems 23–30, use the given zero to find the remaining zeros of each function.arrow_forward
- I need help with question 39 in Section 4.1, page 284, of the James Stewart Calculus Eighth Edition textbook. I am trying to find the critical numbers for the function provided.arrow_forwardIn Problems 11–20, for the given functions f and g. find: (a) (f° g)(4) (b) (g•f)(2) (c) (fof)(1) (d) (g ° g)(0) \ 11. f(x) = 2x; g(x) = 3x² + 1 12. f(x) = 3x + 2; g(x) = 2x² – 1 1 13. f(x) = 4x² – 3; g(x) = 3 14. f(x) = 2x²; g(x) = 1 – 3x² 15. f(x) = Vx; 8(x) = 2x 16. f(x) = Vx + 1; g(x) = 3x %3D 1. 17. f(x) = |x|; g(x) = 18. f(x) = |x – 2|: g(x) x² + 2 2 x + 1 x² + 1 19. f(x) = 3 8(x) = Vĩ 20. f(x) = x³/2; g(x) = X + 1'arrow_forward2.2 Deffetrentiate the following: 3x +1 a) f (x) = 2x + 5 b) S(x) = (emcot x) (8x – 1)2 c) f (x) = (3x – 1)? d) f(x) = x*arrow_forward
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