jasmineT

Find the slope of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2=25(x^2–y^2) at the point (–3,1) . I know that we are supposed to use chain rule for this problem but i think i am messing up on the algebra. Can someone please help me, i keep on...

Use implicit differentiation to find the slope of the tangent line to the curve y/x+6y=x^2–6 at the point (1,–5/31) . Again i think i'm messing up with the algebra here. I used quotient rule to get [(x+6y)(y')-(y)(1+6y')]/(x+6y)^2=2x I don't know how to g...

Can someone look at my work and see what i did wrong. I did this 100 times but i keep getting it wrong Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3x^(1/2) , y=4...

Consider the area between the graphs x+1y=12 and x+8=y2 . This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals Interval a to b f(x)= i put 12-x but it's wrong Interval c to b f(x)= i put...

I got y'=(2x+x^2+12yx+6y^2-y)/(x+6y+6) But when i plugged in the numbers it came out right... do you think the equation is wrong or i just typed in the numbers wrong? BTW thanks for replying!

Oh my goodness, thank you soooo much for writing it out i totally wasn't getting it! THank you so much :) Do you think you coul check my arithmatic for another problem? It's Use implicit differentiation to find the slope of the tangent line to the curve y...

Thank you soooo much steve i finally got it right!!!! :D