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# CALC OF ONE VAR I MTHSC 106

Clemson

GPA 3.76

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This 2 page Class Notes was uploaded by Jazmyn Braun on Saturday September 26, 2015. The Class Notes belongs to MTHSC 106 at Clemson University taught by Judith Cottingham in Fall. Since its upload, it has received 26 views. For similar materials see /class/214285/mthsc-106-clemson-university in Mathematics (M) at Clemson University.

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Date Created: 09/26/15

MthSc 106 Review for the BST First Day These problems are taken from Stewart Calculus 5E The problems are presented as a partial review for the BST The set of problems is not intended to be a comprehensive review for the BST Trigonometry Problems 1 Convert 9 from degrees to radians 57 2 Convert Efrom radians to degrees 3 Find the exact value of the six trig functions for each ofthe following angles i b 51 3 6 4 You are given sinl9 0 lt l9lt Find the exact value of the other five trig functions 5 Find all values of x in the interval 0 27 that satisfy the equation a 2cosx 10 b 2sin2x1 c sin2xcosx d sinxtanx General Problems Concerning Functions 6 The graphs of fand g are shown to the right State the values of f4 and 93 For what values of x is fx gx 2 Estimate the solution ofthe equation fx 1 On what interval is f decreasing State the domain and range of f State the domain and range of 9 09065 7 If fx3x2 x2 find f2 f 2 fa f a fa1 2fa f2a fa2 fa2 and fah 2 where h 0 and fxx x 8 Find f2h fxh and W 9 Find the domain of each of the following functions x a fx3X1 b rtJ 10 Find the domain and sketch the graph of each of the following 1 a fx x3 b gx x 5 11 Find an expression for the equation of the line that goes through the points 2 1 and 4 6 12 A rectangle has perimeter 20 m Express the area ofthe rectangle as a function ofthe length of one of its sides MthSc 106 Review for the BST First Day 13 Solve the following equations a x A 055 x U1 US xx318 b 2x22x5 Jason leaves Detroit at 200 PM and drives at a constant speed west along l90 He passes Ann Arbor 40 mi from Detroit at 250 PM Express the distance traveled in terms of the time elapsed Draw the graph ofthe equation in part a What is the slope of this line What does it represent At the surface of the ocean the water pressure is the same as the air pressure above the water 15 39VmZ Below the surface the water pressure increases by 434lyinZ for every 10 feet of descent Express the water pressure as a function of the depth below the ocean surface At what depth is the pressure 100 39VmZ 2 Finding New Functions from Old Functions 16 Suppose y fx and the graph of fx is given Write equations that are obtained from the graph of fas 009 x follows Shift fx 3 units upward Shift fx 3 units to the right Reflect fx about the xaxis f b Shift fx 3 units downward d Shift fx 3 units to the left Reflect fx about the yaxis The graph of y fx is given Match each equation with its graph yfx 4 b 1 y fx d y 2fx 6 Find the functions fog gof fof andgogif gxx21and fx2x 3 Find functions fand 9 so that Fx may be expressed as fog Fxx21m b

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