Velocity Graph Notes | York University - Edubirdie

University:
York University
Course:
MATH 1013 | Applied Calculus I
Academic year:

2022
Views:

313

Pages:

6
Author:

Nick T.

Velocity graph 0-1: slope 2 4-6: slope 1 2-3: slope -1 1-3: slope 0 Mass with velocity 19 m/s h = 19t - 1.86t^2 1) 17.14 a) t = 2 Example (19(a+h) - 1.86(a+h)^2) - (19a - 1.86a^2) 19h - 3.72ah - 1.86h^2 (19 - 3.72a - 1.86h)h 19 - 3.72a - 1.86h lim h->0 12 - 3.72a lim h->0 12 V(a) = 12 - 3.72a V(12/3.72) = 12 - 3.72(a) a = -19 Textual Content: 6. f(a+h) - f(a)/h = formula for derivatives f'(2) f'(2) = (5(2+h) - 2)/h 5(2+h) - 2 10 + 5h - 2 5h + 10 10 + 5h 10 + 5h + 4h + h^2 10 + 9h + h^2 5h + 10 10 + 9h + h^2 5h + 10 10 + 9h + h^2 5(h + 10) h(h + 9 + 10) 5(h + 10) h(h + 9 + 10) lim h->0 5/9 y - f(a) = f'(a)(x - a) y - 2 = 5/9(x - 2) y = 5/9x - 10/9 + 2 y = 5/9x + 8/9 7. f(x) = sqrt(2 - 2x) lim h->0 f(a + h) - f(a)/h sqrt(2 - 2(x + h)) - sqrt(2 - 2x)/h

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