part 1)
Find dy/dx by implicit differentiation.
3x^6+x^5y−2xy^6=8
dy/dx=
part 4)
A campground owner has 2000 meters of fencing. She wants to enclose a rectangular field bordering a lake, with no fencing needed along the lake: see the sketch.
a) Write an expression for the length of the field: 2000-x (this is correct)
b) Find the area of the field (length times width): -x^2+2000x (this is correct)
c) Find the value of x leading to the maximum area:
d)...