Current Score : 41 / 45 Due : Thursday, April 24 2014 11:59 PM EDT 1. 6/6 points | Previous Answers SCalcET7 5.1.002. Consider the following. (a) Use six rectangles to find estimates of each type for the area under the given graph of f from x = 0 to x = 36. (i) Sample points are left endpoints. L 6 = 780 (ii) Sample points are right endpoints. R 6 = 636 (iii) Sample points are midpoints. M 6 = 705 (b) Is L 6 an underestimate or overestimate of the true area? (c) Is R 6 an underestimate or overestimate of the true area? (d) Which of the numbers gives the best estimate? Section 5.1 QUIZ (Quiz) Frances Coronel MAT 151 Calculus I, Spring 2014, section 01, Spring 2014 Instructor: Ira Walker WebAssign The due date for this assignment is past. Your work can be viewed below, but no changes can be made. Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key. View Key overestimate underestimate overestimate underestimate
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Current Score : 41 / 45 Due : Thursday, April 24 2014 11:59 PM EDT
(a) Use six rectangles to find estimates of each type for the area under the given graph of f from x = 0 to x = 36.
(i) Sample points are left endpoints.L6 = 780
(ii) Sample points are right endpoints.R6 = 636
(iii) Sample points are midpoints.M6 = 705
(b) Is L6 an underestimate or overestimate of the true area?
(c) Is R6 an underestimate or overestimate of the true area?
(d) Which of the numbers gives the best estimate?
Section 5.1 QUIZ (Quiz)Frances CoronelMAT 151 Calculus I, Spring 2014, section 01, Spring 2014Instructor: Ira Walker
WebAssign
The due date for this assignment is past. Your work can be viewed below, but no changes can be made.
Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension ifyou have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key.
Is your estimate an underestimate or an overestimate?
(b) Repeat part (a) using left endpoints.L4 = 20.7313
Sketch the graph and the rectangles.
overestimate
underestimate
Is your estimate an underestimate or an overestimate?
Enhanced Feedback
Please try again. For estimating the area under an interval of a graph using four rectangles, divide the domain of the interval intofour segments of equal length. Next, find the y value on the graph that corresponds to the right (or left) endpoint of eachsegment. This y value will be the height of the rectangle, while the width of each rectangle will be the length of its segment.Lastly, add together the areas of the rectangles.
Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two hour timeintervals are shown in the table. Find lower and upper estimates for the total amount of oil that leaked out.
The velocity graph of a braking car is shown. Use it to estimate the distance traveled by the car while the brakes are applied. (UseM6 to get the most precise estimate.)
The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in thetable. Find lower and upper estimates for the distance that she traveled during these three seconds.
35.5 ft (smaller value)
45.6 ft (larger value)
t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0
v (ft/s) 0 5.7 11.2 15.5 18.8 19.8 20.2
Master ItThe speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in thetable. Find lower and upper estimates for the distance that she traveled during these three seconds.
t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0
v (ft/s) 0 6.2 10.8 14.9 18.1 19.4 20.2
Part 1 of 5We will use either L6 or R6 for the upper and lower estimates.
Since the runner's speed is an increasing function, then (No Response) will give the lower estimate, and (No Response) will givethe upper estimate.