# 3.9 EXERCIir es ra e lh lerth13ra)What quall(b) What is the unkmDraw a picture of the situalil(d) Write an eqution that relates the quile) Finish solving the problem2 4 eanea ncle wth nds ad the cinleds as in nsofh Sp a aptured ranker and sprends inac ar rhe radis of the oil spull ncreases ate e how fastis the ansa of the spillng he e raius s 013, A plane tving horizontally at an altitude of TI and a spS00 mi/h passes directly over a radar station Find the rate atwhich the distance from the plane to the station is increasingwhen it is 2 mi away from the stationchse of aneis increasing at a rate alo em/s A whatr e an f the sare increasng when the area of the14. Ir a snowball melts so that its surfnce area decreases at a rate ofI cm/min, find the rate at which the diameter decreases whCnthe diameter is 10 cmgoire te cor4The ogh of a recangle is increasang at a rate of 8 cms andh is acreag ar a rate of 3 cms When the length is20 c and the width is 10 cm. bow fast is the arca of the15. A street light is mounted at the top of a 15-ft-tall pole. A 1man6 tall walks away from the pole with a speed of 5 ft/s along astraight path How fast is the tip of his shadow moving when heis 40 fi from the pole?5. A rlindncal tank wth radius 5 m is being tilled with watcra rate of 3 m nincreasingHow fast is the beight of the waterThe radius of a sphere is mereasing a a rate of 4 mnm/s Howst 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 eastat 35 km/h and ship B is sailing north at 25 km/h. How fast isthe distance between the ships changing at 4:00 PM?radrus of a spherical ball is increasing at a rate ofmin Ar what rate is the surface area of the balltsing when the radius is 8 cm?of a triangle with sides of lengths a and b andl angle & is17. Two cars start moving from the same point. One travels southat 60 mi/h and the other travels west at 25 mi /h. At what rateis the distance between the cars increasing two hours later?18. A spotlight on the ground shines on a wall 12 m away. If a man2 m tall walks from the spotlight toward the building at a speedof 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 sinCm. b 3 cm, and 0 increases at a rate ofin, how fast is the area increasing whenncreases at a rate of 1 5 cm/min md10

Question
1 views

I need help with problem 17 in Section 3.9, page 249, of the the James Stewart Calculus Eighth Edition textbook.

check_circle

Step 1

Given:

Two cars start moving from the point. One car travel towards south at 60 mi/h and another travel towards west at 25 mi/h.

Let x be the distance covered by the car that travel towards south and y be the distance covered by the car that travel towards west.

Then,

Step 2

Sketch the given situation as shown below

Step 3

Here z is the distance between the cars aft...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in