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IIT MATH 149 - LECTURE NOTES

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Current Score: 0/40Question Points 1 2 3 4 5 6 7 8 9 10 0/4 0/4 0/4 0/4 0/4 0/4 0/4 0/4 0/4 0/4 Total 0/40 1. 0/4 points SCalc6 3.8.003. [665068] 2. 0/4 points SCalc6 3.8.005.MI.SA. [1569159] 3. 0/4 points SCalc6 3.8.008.MI. [1387348] HW 2 (1638069)Description 3.8 Related Rates Each side of a square is increasing at a rate of 7 cm/s. At what rate is the area of the square increasing when the area of the square is cm2? 42 cm2/s Solution or ExplanationClick to View Solution This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points fthe skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise An upright cylindrical tank with radius 4 m is being filled with water at a rate of 3 m3/min. How fast is the height of the water increasing Page 1 of 6Assignment Previewer1/18/2011http://www.webassign.net/v4cgimccrayp@iit/assignments/preview.tpl?aid=1638069&UserPass=ea1a2fcf8e326bfb70400c0d493...4. 0/4 points SCalc6 3.8.011. [1155523] 5. 0/4 points SCalc6 3.8.013. [665158] If x2 + y2 = 100 and dy/dt = 6, find dx/dt when y = 8. ± 8 Solution or ExplanationClick to View Solution A plane flying horizontally at an altitude of 1 mi and a speed of 480 mi/h passes directly over a radar station. Find the rate at which thedistance from the plane to the station is increasing when it is 2 mi away from the station. (Round to the nearest whole number.) 416 mi/h Solution or ExplanationClick to View Solution A street light is mounted at the top of a 15 foot tall pole. A man 6 ft tall walks away from the pole with a speed of 5 ft/s along a straighpath. How fast is the tip of his shadow moving when he is 40 ft from the pole? 8.33 ft/s Solution or ExplanationClick to View Solution Page 2 of 6Assignment Previewer1/18/2011http://www.webassign.net/v4cgimccrayp@iit/assignments/preview.tpl?aid=1638069&UserPass=ea1a2fcf8e326bfb70400c0d493...6. 0/4 points SCalc6 3.8.023. [664965] 7. 0/4 points SCalc6 3.8.027. [665155] Water is leaking out of an inverted conical tank at a rate of 6000 cm3/min at the same time that water is being pumped into the tank atconstant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. 285253 cm3/min Solution or ExplanationClick to View Solution Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that it forms a pile in the shape of a conwhose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 9 ft high? Give your anscorrect to three decimal places. 0.393 ft/min Page 3 of 6Assignment Previewer1/18/2011http://www.webassign.net/v4cgimccrayp@iit/assignments/preview.tpl?aid=1638069&UserPass=ea1a2fcf8e326bfb70400c0d493...8. 0/4 points SCalc6 3.8.029. [831375] 9. 0/4 points SCalc6 3.8.034. [1283143] Solution or ExplanationClick to View Solution Two sides of a triangle have lengths 5 m and 8 m. The angle between them is increasing at a rate of 0.06 rad/s. Find the rate at which area of the triangle is increasing when the angle between the sides of fixed length is 60°. Solution or ExplanationClick to View Solution 0.7 m2/s 0.6 m2/s 1.16 m2/s 0.94 m2/s 0.5 m2/s Page 4 of 6Assignment Previewer1/18/2011http://www.webassign.net/v4cgimccrayp@iit/assignments/preview.tpl?aid=1638069&UserPass=ea1a2fcf8e326bfb70400c0d493...10. 0/4 points SCalc6 3.8.038. [665015] Name (AID): HW 2 (1638069)Submissions Allowed: 5Category: HomeworkCode: Locked: NoBefore due dateQuestion ScoreAssignment ScorePublish Essay ScoresAfter due dateQuestion ScoreAssignment ScorePublish Essay ScoresFeedback SettingsBrain weight B as a function of body weight W in fish has been modeled by the power function B = 0.007W2/3, where B and W are measin grams. A model for body weight as a function of body length L (measured in centimeters) is W = 0.12L2.53. If, over 10 million years, average length of a certain species of fish evolved from 16 cm to 24 cm at a constant rate, how fast was this species' brain growing whthe average length was 19 cm? g/yr Solution or ExplanationClick to View Solution A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline and its light makes four revolutionsminute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answer to one decimal place.) 83.8 km/min Solution or ExplanationClick to View Solution Assignment Details Page 5 of 6Assignment Previewer1/18/2011http://www.webassign.net/v4cgimccrayp@iit/assignments/preview.tpl?aid=1638069&UserPass=ea1a2fcf8e326bfb70400c0d493...Author: McCray, Patrick Dale ( [email protected] ) Last Saved: Jan 18, 2011 08:51 PM CSTPermission: ProtectedRandomization: PersonWhich graded: LastQuestion Part ScoreMarkAdd Practice ButtonHelp/HintsResponseSave WorkKeyQuestion Part ScoreSolutionMarkAdd Practice ButtonHelp/HintsResponse Enter a number.Enter an exact number.Enter a number.Enter a number.Enter a number.Enter a number.Enter a number.Page 6 of 6Assignment


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IIT MATH 149 - LECTURE NOTES

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