help with the questions below

Part A Consider the function f(x) = x3- 4x2 + 2. Calculate the limit of the difference quotient at x0 = 3 for f(x). Answer: Space used (includes formatting): 0 f 15000 Part B Find the equation of a line passing through the same point that x) passes through at x = 3 with a slope equal to the limit you found in part A. Part C Graph the function x) and the line you identied in part B. How do the graphs relate to each other? What does the slope of the line represent about the function at the given point? Answer: Space used (includes formatting): O I 15000 In this task, you will practice nding the area under a nonlinear function by using rectangles. You will use graphing skills in addition to the knowledge gathered in this unit. Sketch the graph of the function y = 20x x2, and approximate the area under the curve in the interval [0, 20] by dividing the area into the given numbers of rectangles. Part A Use five rectangles to approximate the area under the curve. Space used (includes formatting): 0 f 15000 Part B Use 10 rectangles to approximate the area under the curve. Space used (includes formatting): 0} 15000 Part C Calculate the area under the curve using rectangles as their number becomes arbitrarily large (tends to innity)' You do not need to sketch the rectangles Space used (includes formatting): 0! 15000 H5 dll dpprIILILE WUll'tlllg IUI I plLilb I LdllUdeplllB, yULil [E ledllllllg LIIE lllLl'tb Ul Lllt' leUE. 'I'UUI [.1th wants you to calculate the area between the edge of a garden bed and the side of a house. Using the area, she can calculate the amount of mulch she will need for thisjob. The edge is defined by the equationy = x +1. You will use a spreadsheet program to estimate the area under the curvey = x +1 between x = 0 and x = 10. Let the number of subintervals be n = 5. Follow these steps to calculate the area using right endpoints: 1. Start a blank spreadsheet in Excel, Google Docs, or another spreadsheet program. 2. Define a field in the spreadsheet where you're going to put the values for a, b, n, and delta x (Ax). It's a good practice to label these cells. You can start with something like this: A B J . J. .i 1 2 . 3 _ n: 4 delta 1: 3. Refer to the problem description to fill in the values for a, b, and n by placing the numbers in cells Bi, 82, and BS, respectively. 4. Create a formula that will calculate Ax in cell B4. 5. Label the cells D1 and E1 xsub land for sub 0, respectively: . D i E . xsubi flx sub i) 6. Starting at cell D2. fill in the correct values for x,- by using the right endpoints. (Note: If you'd like to reference the cell that contains Ax, simply type a dollar sign before the column letter and another dollar sign before the row number, like this: $B$4. This will allow you to copy and paste https:fff2.app .edmentum.comfcourseware-deliveryfuaf'l535M 53...|cYXJSL3V2ZKIt'r'XNzaWdubWVudCBxNTMZLZIdeSiaHBhZCBO NTMxNz MwOAZ Page 1 of 2 Unit Activity: Limits: Introduction to Calculus 5.81123, 5:16 PM the formula to other cells, but the formula will always use, for example, cell B4.) 7. Create a formula that will calculate foo) in cell E2. (Note: If you'd like to reference the cell that contains Ax, simply type dollar signs before the column letter and the row number, like this: $B$4. This will allow you to copy and paste the formula to other cells, but the formula will always use, for example, cell B4.) 8. Copy the formula to calculate the rest of the values for fun). 9. Label cell F1 Area of rectangles. 10. In cell F2, create a formula that will calculate the area of a single strip or rectangle. Copy the formula to other cells to find the area of each rectangle. 11. Add the areas found in the previous step to get your estimated area in cell F? by using endpoints from the right. Using your spreadsheet calculations, determine the estimated amount of area the mulch will need to cover. Enter your answer in the response box. Save and upload the spreadsheet you created to verify your