(2) The number q of roller blades a firm is willing to sell per week at a price of Sp is given byq= 60p+25+300 for 20s ps100.(ii) Find the amount supplied when the price is $56.(ii) Find the instantaneous rate of change of supply with respect to price when the price is $56.

By definition, a function is a special case of a relation between the members of two sets. It is a…

Answered: (2) The number q of roller blades a…

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.
A 30-second commercial during Super Bowl XXXVII in 2003 cost advertisers 2.2 million. For the first Super Bowl in 1967, an advertiser could have purchased approximately 26.19 minutes of advertising time for the same amount of money. (a) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 2003 Super Bowl. cost= dollars/second. (round to nearest cent and do not enter commas) (b) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 1967 Super Bowl. cost = dollars/second. (round to nearest cent and do not enter commas) (c) How many times more expensive was Super Bowl advertising in 2003 than in 1967? times more expensive (round to nearest whole number)
If a ball is dropped from a height of 2304 feet, then its height in feet above the ground is given by h(t)=−16t2+2304 where t is in seconds. Find the average rate of change of the height of the ball as t varies from 8 to 10 seconds. The average rate of change of the height of the ball is 704 feet per second.
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(2) The number q of roller blades a firm is willing to sell per week at a price of Sp is given by q= 60p+25+300 for 20s ps 100. (ii) Find the amount supplied when the price is $56. (ii) Find the instantaneous rate of change of supply with respect to price when the price is $56.