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Review_Set_T3

Review_Set_T3 - equilateral triangle of side L = 6 cm if...

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Student’s Name: MAC2311-17, Review Set for Chapter 4 (Sections 4.1 – 4.4, 4.7) Page 1 of 2 Show all your work on separate sheets to get full credit. Then write down your final answer for each question on this page. Answer Key 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12.
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Student’s Name: MAC2311-17, Review Set for Chapter 4 (Sections 4.1 – 4.4, 4.7) Page 2 of 2 1) Find the absolute maximum and absolute minimum values of 2 81 x y - = on the interval [- 9, 9]. abs max = abs min = 2) Find the absolute maximum and absolute minimum values of ) 6 cos( ) 6 sin( ) ( x x x f + = on the interval 18 , 0 π . abs max = abs min = 3) Find the inflection points for the function: x x x f sin 2 3 8 ) ( - + = , π 3 0 < < x . 4) Find the value of the limit x x x 7 lim 7 5) Evaluate the limit x 1 1 lim 1 ln x x x → + - - 6) Find the dimensions of the rectangle of largest area that can be inscribed in an
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Unformatted text preview: equilateral triangle of side L = 6 cm if one side of the rectangle lies on the base of the triangle. Round each dimension to the nearest tenth. 7) Evaluate the limit 2 x 1 cos lim x x x →-+ 8) Find all the critical numbers of the function: ) 4 sin( 4 ) ( x x x g + = 9) At 4:00 P.M. a car's speedometer reads 29 mi/ h . At 4:15 it reads 71 mi/h. At some time between 4:00 and 4:15 the acceleration is exactly x mi/ 2 h . Find x . 10) Find two positive numbers whose product is 144 and whose sum is a minimum. 11) Sketch the curve 3 / 2 2 x x y + = 12) For what values of c does the curve have maximum and minimum points? x cx x x F 10 5 ) ( 2 3 + + =...
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