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a) A particle is moving along the curve y lIn x, in the upward direction and heading to the right. Its x-coordinate is increasing at the rate of Vx m/s. At what rate is y-coordinate changing at the point (e2, 2)?

a) A particle is moving along the curve y lIn x, in the upward direction and heading to the right. Its x-coordinate is increasing at the rate of Vx m/s. At what rate is y-coordinate changing at the point (e2, 2)?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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a) A particle is moving along the curve y = lIn x, in the upward direction and heading to the right. Its x-coordinate is increasing at the rate of Vx m/s. At what rate is y-coordinate changing at the point (e2, 2)? b) Heat capacity C, is the amount of heat required to raise the temperature of a given mass of gas with constant volume by 1°C, measured in units of cal / deg-mol (calories per degree gram molecular weight). The heat capacity of oxygen depends on its temperature T and satisfies the formula Cy = 8.27 + 10-5 (26T – 1.87 T2) Use Simpson's Rule to find the average value of C, and the temperature at which it is attained for 20°C <T < 675°C.
Transcribed Image Text:a) A particle is moving along the curve y = lIn x, in the upward direction and heading to the right. Its x-coordinate is increasing at the rate of Vx m/s. At what rate is y-coordinate changing at the point (e2, 2)? b) Heat capacity C, is the amount of heat required to raise the temperature of a given mass of gas with constant volume by 1°C, measured in units of cal / deg-mol (calories per degree gram molecular weight). The heat capacity of oxygen depends on its temperature T and satisfies the formula Cy = 8.27 + 10-5 (26T – 1.87 T2) Use Simpson's Rule to find the average value of C, and the temperature at which it is attained for 20°C <T < 675°C.
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