Please complete these as soon as possible. Thank you. It's due by midnight.
meterz Reiai *' 1' . , ' > '7 ,7 . > , Alisha Singh 0' (D www.webassign.net/web/Student/Assignment Responses/last?dep15770931 Q i} G _ . 0 I Assume that x and y are both differentiable functions of t and nd the required values of dy/dt and dX/dt. XY = 6 (3) Find dy/dt, given x = B and dx/dt = 13. dy/dt = (b) Find dx/dt, given x = 1 and dy/dt = -9. dX/dt = Need Help? Assume that X and y are both differentiable functions of t and nd the required values of dx/dt. x2 + y2 = 169 (a) Find dy/dt, given x = 5, y = 12, and dx/dt = 7. dy/dt = (b) Find dX/dt, glven X = 12, y = 5, and dy/dt = -3. dx/dt = Need Help? i i A point Is moving along the graph of the given function at the rate dx/dt. Flnd dy/dt for the given values ofx. y = 2x2 + 1; % = 2 centlmeters per second (a) X = 1 cm/sec (b) X = 0 cm/sec (C) 1 cm/sec Wapterz Relal *' 1' . , ' > '7 ,7 . > , Alisha Singh 0' (Dwww.webassign.net/web/Student/Assignment Responses/last?dep15770931 Q 1} G The radius rof a circle is increasing at a rate of 7 centimeters per minute. (a) Flnd the rate of change of the area when r = 6 centlmeters. cmz/mln (b) Find the rate of change of the area when r = 34 centimeters. cmZ/min Need Help? i i The radius rof a sphere Is Increasing at a rate of 9 Inches per minute. (a) Find the rate of change of the volume when r = 12 inches. in.3/min (b) Find the rate of change of the volume when r = 36 inches. in.3/min Need Help? * A spherical balloon is inated with gas at a rate of 600 cubic centimeters per minute. (a) How fast is the radius of the balloon changing at the instant the radius is 60 centimeters? cm/min (b) How fast is the radius ofthe balloon changing at the instant the radius is 90 centimeters? cm/rnln Wapterz Relai *' 1' . , g g '7 ,7 . > , Alisha Singh 0' (Dwww.webassign.net/web/Student/Assignment Responses/last?dep15770931 Q 1} C All edges of a cube are expanding at a rate of 9 centimeters per second. (a) How fast is the volume changing when each edge is 5 oentimeter(s)? cm3/sec (b) How fast is the volume changing when each edge is 15 centimeters? cm3/sec Need Help? i i At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile Is 22 feet high? (Hint: The formula for the volume of a cone Is V = %nr2h.) h' = ft/mln Need Help? _ _ _ _ This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any pains for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise At a sand a gravel plant, sand is falling offa conveyor and onto a conical pile at a rate of 5 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 27 feet high? Click here in b_eg|nl Need Help? Alisha Singh' QG (a) If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when Ii is 1.0 feet deep? l 11/ min (b) If the water is rising at a rate of 3/3 inch per minute when h = 2.1, determine the rate at which water is being pumped into the trough. l via/min mum? A ladder 25 feet long Is Ieanlng agalnst the wall of a house. The base of the ladder Is pulled away from the wall at a rate of 2 feet per second. \\ (a) What Is the veluclty of the top of the ladder when the base ls glven below? 15 feet away from the wall 7 7 ft/sec 20 feet away from the wall Nsec 24 feet away from the wall Nsec (b) Conslder the triangle formed by the slde of the house, ladder, and the ground. Flnd the rate at whlch the area of the trlangle ls changlng when the base of the ladder Is 20 feet from the wall. ftz/sec (c) Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 20 feet from the wall. rad/sec Need Help? hapter 2.6 Relai * Please comp e i I . A'iSha Sing\" A ' 6 C' (wawwebaSSIQ et/web/Student/Assgnmen esponses/last de 15770931 Q i} G Find the acceleratlon of the specied object (Hint: Recall [ha if a variable is changlng at a constant rate, its acceleration is zero.) A boat is pulled into a dock by means of a winch 24 feet above the deck of the boat (see gure). The winch pu||s in rope at a rate of 7 feet per seoond. Flnd the aoceleration of the boat when there is a total uf 25 feet of rope out. (Round your answer to three decimal places.) /sec2 munnmm Need new i A point is moving along the graph or a given functian such that dx/dt is 3 oentimeters per second, nd dy/dt for the given values afx. y=7)3+1 (a)X=-3 dy/dt cm/sec (b) x = dy/d crn/sec (c) x = 1 dy/dt e i cm/sec NeedHeln? ii WehAssIgnO 4.0 9 1997-2017 Advanced Instructional Symms, no, All rights reserved
