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1. In Problems ab, nd 3: using implicit differentiation and then nd the slope of the line tangent to the graph of the equation at the given point. a. y3 5y = 5x2 + 7, point: (1, 3) b. y2 Sxy+x2 +21 = 0, point: {2, 5) 2. In a-b, use logarithmic differentiation to nd '3: a. y= (3 + sint'xjj" b. y=x'*(x 2)'sin 3x 3. A circle of radius 3 inches is inside a square with 12 inch sides (Fig. 12). How fast is the area between the circle and square changing if the radius is increasing at 4 inches per minute and the sides are increasing at 2 inches per minute? Fig. 12 4. The 8-foot diameter of a spherical gas bubble is increasing at 2 feet per hour, and the lZ-foot-long edges of a cube containing the bubble are increasing at 3 feet per hour. Is the volume contained between the spherical bubble and the cube increasing or decreasing? At what rate