In Exercises 1–42, evaluate the
[HinT: for 19–42: See Example 3.]
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Applied Calculus
- For Exercises 11–12, a. Rationalize the numerator of the expression and simplify. b. Substitute 0 for h in the simplified expression. Vx + h + 1 – (Vĩ + 1) 11. V2x + h) – V2x - 12. h harrow_forwardFor Exercises 39–42, multiply the radicals and simplify. Assume that all variable expressions represent positive real numbers. 39. (6V5 – 2V3)(2V3 + 5V3) 40. (7V2 – 2VIT)(7V2 + 2V1T) 41. (2c²Va – 5ď Vc) 42. (Vx + 2 + 4)²arrow_forwardIn Exercises 19–22, simplify each algebraic expression. 5(2x - 3) + 7 1 5(5x) + [(3y) + (-3y)] - (-x) 3(4y - 5) - (7y + 2) 8 - 2[3 - (5x - 1)arrow_forward
- For Exercises 37–44, find the difference quotient and simplify. (See Examples 4-5) 37. f(х) — — 2х + 5 38. f(x) = -3x + 8 39. f(x) = -5x² – 4x + 2 40. f(x) = -4x - 2x + 6 41. f(x) = x' + 5 42. f(x) = 1 43. f(x) = 1 44. f(x) = x + 2arrow_forwardExercises 38–40 will help you prepare for the material covered in the first section of the next chapter. In Exercises 38-39, simplify each algebraic expression. 38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6) 39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9) 40. The figures show the graphs of two functions. y y 201 10- .... -20- flx) = x³ glx) = -0.3x + 4x + 2arrow_forwardIn Exercises 31–36, find a general formula for f®)(x).arrow_forward
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