Please see the pictures below. I need help with both questions. Please show work.

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2 Problem 7. (10 pts) A rectangle is constructed so that one side lies along the positive r-axis, another side lies along the positive y-axis, and one vertex lies on the line y = 10 - 2x. What dimensions maximize the area of the rectangle? What is the maximum area? Be sure to indicate why these dimensions maximize the area! (x, 10 - 2x)Problem 8. (15 pts) A conical tank with an upper radius of 2 ft and height of 6 ft is leaking water at a constant rate of 1 ft3/hr. At what rate is the depth of the water in the tank changing when the depth of the water is 4 ft? What does this rate of change tell us about the depth of the water in the tank as time elapses? 2-ft 6-ft