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7. Using Newton's Method with an initial guess x, - 2 , find the exact values of x, and x, , which are successive rational approximations of the solution to x + 2x - 7 -0 . Write down the expressions for x, and x, , but use your calculator for all the arithmetic to get the fractions correct. x, = X,-1 8. Water is draining from the point at the bottom of a conical tank at a rate of 8 cubic meters per minute. If the tank has a 3-meter radius at the top and a 5-meter height, how fast is the height of the water changing when the water is 2 meters deep? Volume of a Cone: V = +rrh 9. By hand, use the Midpoint Rule with 4 subintervals to find a rational approximation for the area under the curve f (x) = 3x on the interval from x = 2 to x = 6