Calculus equations, math homework help

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nygnjvy89

Mathematics

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I need only the correct choice for 20 questions.. I've only attached half of the question due to size limit..

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1. 13 In x Evaluate the limit using l'Hôpital's rule. lim X x → +00 13 13 2 Does not exist 2. 6x² + 5x+3 Let f(x) Determine f(3). vx 25/3 3 293 3 2013 3 29/3 2 2 Find a formula forf '(x) if f(x) = V2= Then find (F1)'(x). F"(x) = and (r?)'(x) = - F'(x) = (x - 2 +2 and (")(x) = vx-2 F"(x) = { +2 and (71)'(x) = - F'(x) = +2 and (r)"(x) = - 2 4. x? – 8x + 15 Evaluate the limit lim x 3 x - 9 2 Does not exist 0 -00 W خرابي بي | با 5. Evaluate the limit lim S +1 0 Does not exist 5 2 O 3 2 6. O Find an antiderivative G of g(z) = 32 / + c 12 / + c 3 / + c +C C O 1 3z 7. Find the slope of the tangent line to the curve 3xy – 2x² + 4y3 = – 73 at the point (-2,3). 17 102 17 51 31 102 19 102 8. Use Rolle's theorem to determine whether it is possible for the function f(x) = 4x' + 6x – 17 to have two or more real roots (or, equivalently, whether the graph of y = f(x) crosses the x-axis two or more times). Suppose that f(x) has two or more real roots. Choose two of these roots and call the smaller one a and the larger one b. By applying Rolle's theorem to fon the interval (a,b), 1, b) so that f(c) = 0. The values of the derivative f (x) are always (positive / negative), and therefore it is (possible /impossible) for f(x) to have two or more real roots. there exists at least one nun c in the interval = 8 36x° + 6, negative, possible 36x8 + 6, negative, impossible 8. Use Rolle's theorem to determine whether it is possible for the function f(x) = 4x' + 6x – 17 to have two or more real roots (or, equivalently, whether the graph of y = f(x) crosses the x-axis two or more times). Suppose that f(x) has two or more real roots. Choose two of these roots and call the smaller one a and the larger one b. By applying Rolle's theorem to fon the interval (a, b), there exists at least one number c in the interval (a, b) so that f(c) = 0. The values of the derivative f(x) = are always (positive/negative), and therefore it is (possible / impossible) for f(x) to have two or more real roots. 36x8 +6, negative, possible 36x8 +6, negative, impossible 8 36x° + 6, positive, possible 36x® + 6, positive, impossible 4x° + 6, positive, possible 8 4x° + 6, positive, impossible
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Anonymous
Excellent resource! Really helped me get the gist of things.

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