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# Review Sheet for MATH 124 at UA

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COURSE
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This 2 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Arizona taught by a professor in Fall. Since its upload, it has received 15 views.

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Date Created: 02/06/15
1 HGM calc 241 The ternperature7 H7 in degrees Celsius7 of a cup of coffee placed on the kitchen counter is given by H ft7 where t is minutes since the coffee was put on the counter A What does f20 90 mean give units B What does f 20 710 mean give units 2 ls the function f 96 961961 differentiable everywhere show your work 3 HGM calc 2613 A magnetic eld7 B7 is given as a function of the distance7 r from the center of a wire as follows i TLBO for r 3 r0 BU 7 BO for r gt To A ls B continuous at r To Show your work B ls B differentiable at r r0 7 Show your work 0 Sketch a graph of B against 7 4 Given the function t 7 2 sin27r t for t S 0 7 23 for t gt 0 A ls the function 9 continuous in t 0 B ls the function g differentiable in t 0 5 HGM calc 3353 The quantity7 q7 of a certain skateboard sold depends on the selling price7 p7 in dollars7 so we write q fp You are given that f140 15000 and f 140 7100 A What do f140 15000 and f 140 7100 tell you about the sales of skate boards B The total revenue7 R earned by the sale of skateboards is given by R pq Find i dp p140 C What is the sign of lp1407 If the skateboards are currently selling for 1407 what happend to revenue if the price is increased to 141 6 For what intervals is h x21 where b gt 1 is a constant7 both increasing and concave down 7 Find the equation of the tangent line to 7W at z 3 8 Give an example of a function f with negative7 but everywhere increasing slope What is the sign of f 9 If d 7 t t 2 t dun t what is f t7 10 Suppose f is increasing and concave up everywhere and fA 4 f A 227 h 005 Estimate the values of fA 7 h and fA h Hint Use the de nition of the derivative 11 Given the table X fx f7x l 2 l 2 3 Assume that the function f is invertible and differentiable everywhere Find f 1 2 2

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