40. The efficiency 7 (in %) of an internal combustion engine in terms of itscompression ratiocis given by 7 = 100 (1 – c 0.40). Determine the possible-0.40approximate error in the efficiency for a compression ratio measured to be 6.00with a possible error of 0.50. (Hint: Set up a series for (6+ )40)

Given that, η=1001-c-0.40 We have to find the specific value when c = 6.

Answered: 40. The efficiency 7 (in %) of an…

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 deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 285 − 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (i) 0.1 seconds (ii)0.05 seconds (iii)0.01 seconds (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds.
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229 25. Researchers have observed that rainforest areas next to clear-cuts (less than 100 meters away) have a reduced tree biomass compared to rain- forest areas far from clear-cuts. To go further, Laurance et al. (1997) tested whether rainforest areas more distant from the clear-cuts were also affected. They compiled data on the biomass change after clear-cutting (in tons/hectare/year) for 36 rainforest areas between 100 m and sev- eral kilometers from clear-cuts. The data are as follows: -10.8, -4.9, -2.6, -1.6, -3, -6.2, -6.5, -9.2, -3.6,-1.8, -1.0, 0.2, 0.2, 0.1, -0.3, -1.4, -1.5, -0.8, 0.3, 0.6, 1.0, 1.2, 2.9, 3.5, 4.3, 4.7, 2.9, 2.8, 2.5, 1.7, 2.7, 1.2, 0.1, 1.3, 2.3, 0.5. These measurements are plotted in the following histogram: Frequency 14- 12- 10- 8- 64 2 0 -12.5 -10 -7.5 -5 -2.5 0 2.5 5 Biomass change Test whether there is a change in biomass of rain- forest areas following clear-cutting. hite the voragious habitat
A car travels down a highway at 50 m/s. An observer stands 250 m from the highway. (a) How fast is the distance from the observer to the car increasing when the car passes in front of the observer? (Use decimal notation. Give your answer to three decimal places.) dh m/s dt (b) How fast is the distance increasing 60 s later? (Use decimal notation. Give your answer to three decimal places.) dh 24.91 m/s dt Incorrect
1024 If the price of a product is given by P(x) = - + 2,300, where x represents the demand for the product, find the rate of change of price when the demand is 8. X @ 2 OA. - 138 OB. -16 OC. 138 OD. 16 N F2 W S 20 #3 X SP F6 NOV 27 command F3 E D 000 54 $ C F4 R 70 FL % 5 V F5 T G A 6 VISSA B F6 Y & 7 H F7 U N 8 J ♫ F8 I M - O 9 #tv A ▶ K F9 O < H 0 L 4 F10 P II ; 4) F11 alt { [ command option + 11 = ? I O 4))) F12 Submit Next } 1 U dele .
14 A 1.6-m deep swimming pool has been emptied and cleaned. After the cleaning, water is pumped into the pool. The water level increases at a rate of 6.5 cm in every 2 minutes. However, water also drains away at a rate of 0.25 cm in every 5 minutes. (a) How long will it take to fill the pool? (b) What is the water level in the pool after h?

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