3.9 EXERCI ir es ra e lh lerth 13 ra)What quall (b) What is the unkm Draw a picture of the situalil (d) Write an eqution that relates the quil e) Finish solving the problem 2 4 eanea ncle wth nds ad the cinle ds as in nsof h Sp a aptured ranker and sprends in ac ar rhe radis of the oil spull ncreases at e e how fastis the ansa of the spill ng he e raius s 0 13, A plane tving horizontally at an altitude of TI and a sp S00 mi/h passes directly over a radar station Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station chse of aneis increasing at a rate alo em/s A what r e an f the sare increasng when the area of the 14. Ir a snowball melts so that its surfnce area decreases at a rate of I cm/min, find the rate at which the diameter decreases whCn the diameter is 10 cm goire te cor 4The ogh of a recangle is increasang at a rate of 8 cms and h is acreag ar a rate of 3 cms When the length is 20 c and the width is 10 cm. bow fast is the arca of the 15. A street light is mounted at the top of a 15-ft-tall pole. A 1man 6 tall walks away from the pole with a speed of 5 ft/s along a straight path How fast is the tip of his shadow moving when he is 40 fi from the pole? 5. A rlindncal tank wth radius 5 m is being tilled with watcr a rate of 3 m n increasing How fast is the beight of the water The radius of a sphere is mereasing a a rate of 4 mnm/s How st is the volume increasing when the diameter is 80 mm? 16. At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM? radrus of a spherical ball is increasing at a rate of min Ar what rate is the surface area of the ball tsing when the radius is 8 cm? of a triangle with sides of lengths a and b and l angle & is 17. Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi /h. At what rate is the distance between the cars increasing two hours later? 18. A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s. how fast is the length of his shadow on the build- ing decreasing when he is 4 m from the building? A=ab sin Cm. b 3 cm, and 0 increases at a rate of in, how fast is the area increasing when ncreases at a rate of 1 5 cm/min md 10

3.9 EXERCI ir es ra e lh lerth 13 ra)What quall (b) What is the unkm Draw a picture of the situalil (d) Write an eqution that relates the quil e) Finish solving the problem 2 4 eanea ncle wth nds ad the cinle ds as in nsof h Sp a aptured ranker and sprends in ac ar rhe radis of the oil spull ncreases at e e how fastis the ansa of the spill ng he e raius s 0 13, A plane tving horizontally at an altitude of TI and a sp S00 mi/h passes directly over a radar station Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station chse of aneis increasing at a rate alo em/s A what r e an f the sare increasng when the area of the 14. Ir a snowball melts so that its surfnce area decreases at a rate of I cm/min, find the rate at which the diameter decreases whCn the diameter is 10 cm goire te cor 4The ogh of a recangle is increasang at a rate of 8 cms and h is acreag ar a rate of 3 cms When the length is 20 c and the width is 10 cm. bow fast is the arca of the 15. A street light is mounted at the top of a 15-ft-tall pole. A 1man 6 tall walks away from the pole with a speed of 5 ft/s along a straight path How fast is the tip of his shadow moving when he is 40 fi from the pole? 5. A rlindncal tank wth radius 5 m is being tilled with watcr a rate of 3 m n increasing How fast is the beight of the water The radius of a sphere is mereasing a a rate of 4 mnm/s How st is the volume increasing when the diameter is 80 mm? 16. At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM? radrus of a spherical ball is increasing at a rate of min Ar what rate is the surface area of the ball tsing when the radius is 8 cm? of a triangle with sides of lengths a and b and l angle & is 17. Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi /h. At what rate is the distance between the cars increasing two hours later? 18. A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s. how fast is the length of his shadow on the build- ing decreasing when he is 4 m from the building? A=ab sin Cm. b 3 cm, and 0 increases at a rate of in, how fast is the area increasing when ncreases at a rate of 1 5 cm/min md 10

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section: Chapter Questions

Problem 47RE

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