310 - 4. If and , determine differentiate implicitly wrt...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 4. If and , determine differentiate implicitly wrt time when at and at then , we have , we have , so 8. If a snowball melts so that its surface area decreases at a rate of cm /min, determine the rate at which the diameter decreases when the diameter is 10 cm. surface area of sphere the given info is that the request is to determine cm /min when differentiate the area function wrt to give and then substitute: cm/min MTH 173, section 3.10 nores, page 1 10. At noon, ship is 150 km west of ship B. Ship A is sailing east at 35 km/hr and ship B is sailing north at 25 km/hr. How fast is the distance bewteen the ships changing at 4PM? distance between ships determine at 4PM at noon, is at after 4 hours, A moved B has moved at 4PM A has position B is at km so and B's position is km km/hr MTH 173, section 3.10 nores, page 2 16. A boat is pulled into a dock by a rope attached to the bow and passing thru a pulley on the dock 1 m higher than the bow. If a rope is pulled in the rate of 1 m/s, how fast is the boat approaching the dock when it is 8 m from the dock / is length of rope m/s, determine when 18. A particle is moving along the curve . As the particle passes thru , its -coordinate increases at 3 cm/s. How fast is the distance from the particle to the origin changing then? cm/s MTH 173, section 3.10 nores, page 3 20. A trough that is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled at a rate of 12 ft /min, how fast is the water level rising when it is 6 inches deep? if height then base ! the given information is that foot. from ! , we have ! and ! ft/min, and the request is to determine when ft/min 24. A kite 100 ft above groud moves horizontally with a speed of 8 ft/s. At what rate is the angle between the string and the horizontal decreasing when 200 ft of string are out? l 100 here we know that we also know that csc cot when , so sin tan rad/s ft/s. the request is to determine csc , so when csc cot MTH 173, section 3.10 nores, page 4 ...
View Full Document

This note was uploaded on 09/17/2009 for the course MTH Calc taught by Professor Bush during the Spring '09 term at Northern Virginia.

Ask a homework question - tutors are online