# elementary method

(a) and are both positive. dx dx2 ОА ПВ пс OD ПЕ are both negative. (b) dy and dx ОА dx2 OB Пс OD ОЕ is negative but (c) dy dx ПА dzy dx2 is positive. оооо 7. [-/10 Points) DETAILS SCALCET8 4.4.017. MY NOTES ASK YOUR TEACHER Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. 1 – sin(0) lim → */2 1 + cos(60) 8. [-/12 Points] DETAILS SCALCET8 4.3.034. MY NOTES ASK YOUR TEACHER The graph of a function y = f(x) is shown. At which point(s) are the following true? (Select all that apply.) D с E A B (a) dy and dPy are both positive. 5. [-/10 Points] DETAILS SCALCET8 4.4.065. MY NOTES ASK YOUR TEACHER Find the limit. Use l’Hospital’s Rule if appropriate. If there is a more elementary method, consider using it. lim (9x + 1) cot(x) x0+ 6. [-/12 Points] DETAILS SCALCETS 4.2.015. MY NOTES ASK YOUR TEACHER Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x, [0, 16] C = Graph the function, the secant line through the endpoints, and the tangent line at (c, f(c)). у у 3. [-/12 Points] DETAILS SCALCET8 4.7.007.MI. MY NOTES ASK YOUR TEACHER Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible. (If both values are the same number, enter it into both blanks.) m (smaller value) m (larger value) 4. [-/12 Points] DETAILS SCALCET8 4.1.048. MY NOTES ASK YOUR TEACHER Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 8 + 54x – 2×3, [0, 4] absolute minimum value absolute maximum value Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.) 2. [-/12 Points) DETAILS SCALCET8 4.9.039. MY NOTES ASK YOUR TEACHER Find f. f”(x) = -2 + 36x – 12×2, f(0) = 9, f’O) = 16

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