Estimate the area of the region between the function and the x-axis on the given interval using n = 6 and using,(a) the right end points of the subintervals for the height of the rectangles,(b) the left end points of the subintervals for the height of the rectangles and,(c) the midpoints of the subintervals for the height of the rectangles.2. g (x) = -3z +2x-1 on [-4,0]

The given function gx=-3x2+2x-1 and the given interval is -4,0. Given n=6. Since -4,0, therefore…

Answered: Estimate the area of the region between…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The rectangles in the graph below illustrate a left endpoint upper sum for f(x) = 17 on the interval [2,6|. The value of this left endpoint upper sum is and this upper sum is an overestimate of + the area of the region enclosed by y = f(x), the x- axis, and the vertical lines x = 2 and x = 6. y 3. 2 1 2 3 4 7 Left endpoint upper sum for y = 17 on [2, 6] 17 on the interval [2, 6]. The rectangles in the graph below illustrate a right endpoint lower sum for f(x) and this lower sum is an underestimate of + the area of the region enclosed by y = f(x), the x- The value of this right endpoint lower sum is axis, and the vertical lines x = 2 and x = 6.
A box with an open top is to be constructed from a rectangular piece ofcardboard with dimensions 12 in. by 20 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x.
For a certain stretch of road, the distance d (in ft) required to stop a car that is traveling at speed v (in mph) before the brakes are applied can be approximated by d (v)=0.04v² +2v. Find the speeds for which the car can be stopped within 200 ft. The solution set in interval notation is 8PC75120173 Continue W Anderson Ln.... Closed road 4 10 fs % (0,0) (0,0) (0,0) [0,0] -00 ∞ OVO {} 40 X Q Search 5 LDO hp fo 144 fio ► 11 Save For Later Ⓒ2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Access 112 prt sc Submit Assignme ^ Espa delete 5 10
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The function P(r) = – 3.75x? + 775x – 7500 gives the profit when z units of a certain product are sold. Find a) the profit when 85 units are sold dollars b) the average profit per unit when 85 units are sold dollars per unit c) the rate that profit is changing when exactly 85 units are sold dollars per unit d) the rate that profit changes on average when the number of units sold rises from 85 to 170. dollars per unit e) The number of units sold when profit stops increasing and starts decreasing. (Round to the nearest whole number if necessary.) units
Suppose you estimate the area under the graph of f(x) = from x = 15 to x = 115 by adding the areas of rectangles as follows: partition the interval into 50 equal subintervals and use the left endpoint of each interval to determine the height of the rectangle. What is the area of the 9th rectangle? The area of the 9th rectangle is

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