anonymous
  • anonymous
Related Rates Question Help!?!?! The base of a triangle is decreasing at the rate of 1 ft/sec, while the height is increasing at the rate of 2 ft/sec. At what rate is the area of the triangle changing when the base is 10 ft and the height is 70 ft? a)25 b)-45 c)-50 d)45
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
only need help on this one and then i can do a whole bunch that are alike!!
phi
  • phi
|dw:1438197781116:dw|
phi
  • phi
the area of the triangle is \[ A = \frac{1}{2} x y\] take the derivative with respect to t: \[ \frac{dA}{dt} = \frac{1}{2}\left( x \frac{dy}{dt}+ y \frac{dx}{dt}\right)\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
wouldn't the x and y disappear ?
anonymous
  • anonymous
and also the .5
phi
  • phi
both x and y are variables and you must use the product rule
anonymous
  • anonymous
lovely okay got it thank you very much!
phi
  • phi
d u v = u dv + v du if you have a constant, it can "go out front"
phi
  • phi
unfortunately, I do not get any of your answer choices.
anonymous
  • anonymous
wait would it be x dy/dt wouldn't it be x dx/dt
anonymous
  • anonymous
okay nvm product rule forgot
phi
  • phi
the rule is d (uv) = u * dv + v * du or with x and y d/dt (xy)= x d/dt y + y * d/dt x
anonymous
  • anonymous
what are you getting?
anonymous
  • anonymous
im getting -25
phi
  • phi
dx/dt= -1 dy/dt= 2 x=10 y=70 x dy/dt + y dx/dt = 10*2 + 70*-1 = 20-70= -50 then multiply by 1/2 to get -25 sq ft/ sec
anonymous
  • anonymous
-25 is an answer choice though. wheres the problem?
phi
  • phi
which one ?
anonymous
  • anonymous
oh woops a should be a -25
anonymous
  • anonymous
sorry abut that :(
anonymous
  • anonymous
Thank you very much !!
phi
  • phi
good luck on the other problems

Looking for something else?

Not the answer you are looking for? Search for more explanations.