Calculus and Analytic Geometry I
Calculus and Analytic Geometry I MATH 151
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This 3 page Study Guide was uploaded by Breana Ullrich on Monday October 19, 2015. The Study Guide belongs to MATH 151 at Radford University taught by Wei-Chi Yang in Fall. Since its upload, it has received 40 views. For similar materials see /class/224685/math-151-radford-university in Mathematics (M) at Radford University.
Reviews for Calculus and Analytic Geometry I
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Date Created: 10/19/15
Review Sheet for Dr Yang s Math 151 1 lfthe graph offis given below 20 a Comparef 1f 0f 1f 2 in increasing order Answer f 1ltf 0 ltf1ltf 2 b Find the intervals wherefis positive Answerf39 is positive estimately in 0 54 wherefis increasing c Find the intervals wheref is negative Answerf is negative estimately in oo0 5 U 400 2 lfthe graph off derivative ofa function is given below 20 a Comparef 1f 0f 1f 2 in increasing order Note that you are looking at the graph ofy fx noty x sof 1 0f 0 is about 15f 1 is 16 andf 2 is about 10 so f1ltf0ltf2ltf1l Indicate the x value wherefhas relative maxima Answerfhas a relative maximum whenf is changing from positive to negative sof has a relative maximum at x 1 and at x 5 c Indicate the x value wherefhas relative minimum Answrfhas a relative minimum at x 3 3 Given the position funtions for two race carsfthin and g thick are shown as follows and suppose the graphs ofy x and y gx intersect at x 18 Then answer the following questions 939 a Do these two cars start at the same position No b Which car starts out faster carf c Where do these two cars meet At time x 1 8 d Comparef x and g x forx 2 18 g x gtf x ifx 2 18 Label the graphs forff and f Answerfis thinf is medium and f is thick 4 a identify the graph fory fxy fx andy f x respectively f is the one always decreasing f is thin in black and f is red b nd the intervals wherefis increasing or decreasing fis always decreasing c nd the maximum and minimum forfin the interval 0 27 fhas no relative max or min d nd the intervals wherefis concave upward and concave downward Look atf redf is negative roughly in 30 U 35 sofis concave downward in 30 U 35 f is positve in 5 3 U 03 roughly sofis concave upward in 5 3 U 03 By the wayfhas an in ection point at x 30 and 3 Let the graph of a velocity function x time y feetsec be given below Assuming the xintercepts forthe following graph is at x 13 and 5 20 What is the initial velocity when time0 Explain how velocity function can be negative sometimes Estimate the inflection points for the distance function Estimate the maximum and minimum for the distance function Find the intervals where the acceleration is negative the graphs ofy fxy f39x andy f x are given below Then identify the graph fory fxy fx and y f x respectively nd the intervals wherefis increasing or decreasing nd the maximum and minimum forfin the interval 33 nd the intervals wherefis concave upward and concave downward by using the sings off gore709057
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