calculus help?

Question

Find the point on the line that is closest to the point . (1,2)

Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola y=4-x^2 . List the dimensions in non-decreasing order

last question : )
Find the dimensions of the largest rectangle that can be inscribed in a right triangle with legs of length 3 cm and 4 cm if two sides of the rectangle lie along the legs. List the dimensions in non-decreasing order.

Answer 1

Find the point on which line?

I just solved one the questions you posted in your other question, try to see how I did and write to me if you still don't know how to solve the other ones.

Ilusion