MATH 121 Midterm: Math 121 Chico State M121Exam2ProbsS12

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31 Jan 2019
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If y represents the amount of reactant at time t, dy. After 5 minutes the temperature of the coffee is 98 degrees. Use newton"s law of cooling to find the coffee temperature after 15 minutes: solve the following differential equations: dy dx. = x 2 25 y 2 dp dt. = 2p , p(0) = 200 dp dt. T 2 + 6t 5: e x sin 2 x( ) dx x x 2 x 30 dx: x cos 3x( ) dx: x tan 2 2 x( 25 9 x 2 dx: sin 3 2 x( ) dx: sin 2 4 x( ) dx: sec x( ) dx. If the tank is to hold 5000 lbs of fuel with a density of 40 lb/ft3 , Estimate the length of the tank using simpson"s rule. Horizontal spacing = 1. 5 ft. y- values in feet: y0. 3: estimate e x. 1 dx using the trapezoidal rule and 4 subintervals (n = 4).

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