4. Buoyed by the rave reviews of the CNC-turned candlesticks, the student next wants to make a bulky salad bowl, with the radial profile at right. The height from the base to the top is 5.00 in. 6 5 The equation for the height of the inside of the bowl (above the base) is y=3+2 sin ((-1)) in. Determine the volume material of the bowl. State the volume either exactly (not substituting a decimal value for ) or by rounding the volume to the nearest hundredth (0.01). V (inches) 1 0 0 1 2 3 4 5 x (inches) 3 5. Find the arc length of the curve y = 2x + 1 over the interval from x = 0 to x = 6. 6. It takes a force of 100 N to compress a certain spring 0.025 m from its equilibrium position. a. How much work is required to compress this same spring to 0.12 m from its equilibrium position? b. How much work is required to compress this same spring from 0.12 m to 0.18 m? c. In b, the compression distance is half of what it is in a. Why is not half the amount of work needed to do the compression in b compared to a? Assume Hooke's Law can be used to describe the behavior of the spring within the range of the forces that must be applied as described above.