hi! please help:

(1 point) Consider the function f(x) = 6x + 7x2 over the interval [0, 1]. Divide the interval into n subintervals of equal length. How long is each subinterval? Length is Note: Your answer should be in terms of n. In order to determine an overestimate for the area under the graph of the function, at what x-value should you evaluate f(x) to determine the height of the first rectangle? Evaluate at Note: Your answer should be in terms of n. Find a formula for the x-value in the th subinterval which determines the height of the kth rectangle. Evaluate at Note: Your answer should be in terms of k and n. Write down a Riemann sum for f(x) over the given interval which is guaranteed to be an overestimate. Riemann sum is *=1 Note: Your answer should be in terms of k and n; there should be no other letters in your answer. Using the formulas [k = n(n+1) * =1 2 and M= "K 2 = . n(n + 1)(2n + 1) k= 1 6 , write down the above Riemann sum without using a E. Riemann sum is Note: Your answer should be in terms of n. Compute the limit of the above sum as n - co. The limit is Note: Your answer should be a number.(1 point) Definition: The AREA A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximationg rectangles A = lim R. = lim [f(x1)Ax + f(x2)Ax+...+f(x,)Ax] 17-+00 Consider the function f(x) = vx, 1