Two boats move on the same flat lake. At noon boat B is 10 miles east of boat A. For the rest of the day, both boats sail at 10 mph, however boat A sails north and boat B sails east.

A. let x be the distance that boat B has traveled east since noon and let y be the distance A has traveled north since noon. Express the distance d between the boats in terms of x and y.

B. Use the Chain Rule to differentiate d with respect to t.

C. Find the values of x and y at 3pm.

D. Use the information in (b) and (c) to calculate the rate of change of the distance between the boats at 3PM.

Question

Two boats move on the same flat lake. At noon boat B is 10 miles east of boat A. For the rest of the day, both boats sail at 10 mph, however boat A sails north and boat B sails east.

A. let x be the distance that boat B has traveled east since noon and let y be the distance A has traveled north since noon. Express the distance d between the boats in terms of x and y.

B. Use the Chain Rule to differentiate d with respect to t.

C. Find the values of x and y at 3pm.

D. Use the information in (b) and (c) to calculate the rate of change of the distance between the boats at 3PM.

hero · Answer

x = 30
y = 40

Rate of change is 3/4

hero · Answer

I did all of that without calculus

anonymous · Answer

what is the answer for A?

anonymous · Answer

what about B? show me the equation.

hero · Answer

Wait, let me fix it

hero · Answer

(x+10)^2 + y^2 = d^2

I'm not doing B

hero · Answer

You're gonna have to figure that out yourself

anonymous · Answer

=.=

hero · Answer

This question sucks and I was able to avoid calculus because I knew it sucked. Repost it again and  let someone else try