Applied Calculus (with Infotrac) 3rd Edition By Waner, Stefan; Costenoble, Steven Published By Brooks Cole Hardcover
Applied Calculus (with Infotrac) 3rd Edition By Waner, Stefan; Costenoble, Steven Published By Brooks Cole Hardcover
3rd Edition
ISBN: 9781319048518
Author: Colin Adams Jon Rogawski
Publisher: Macmillan Higher Education
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Chapter C, Problem 13E
To determine

To prove:

52n4n is divisible by 7 for all natural number n.

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MATH 122 WORKSHEET 3 February 5, 2025 . Solve the following problems on a separate sheet. Justify your answers to earn full credit. 1. Let f(x) = x² - 2x + 1. (a) Find the slope of the graph of y = f (x) at the point P = (0,1) by directly evaluating the limit: f'(0) = lim ( f(Ax) - f(0) Ax Ax→0 (b) Find the equation of the tangent line 1 to the graph of ƒ at P. What are the x and y intercepts of 1 ? (c) Find the equation of the line, n, through P that is perpendicular to the tangent line l. (Line n is called the normal line to the graph of f at P.) (d) Sketch a careful graph that displays: the graph of y = f (x), its vertex point, its tangent and normal lines at point P, and the x and y intercepts of these lines. Bonus: Find the coordinates of the second point, Q, (QP), at which the normal line n intersects the graph of f. 2. A rock is thrown vertically upward with an initial velocity of 20 m/s from the edge of a bridge that is 25 meters above a river bed. Based on Newton's Laws of…
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