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A cup of milk is chilled in the refrigerator to a temperature of 40?F. Then it is taken out into a room at 72?F. (a) By Newton’s Law of Cooling, which can also be used to describe warming, the temperature T(t) of the milk at time t (measured in minutes)satisfies the initial value problem T?(t) =k(T(t)?72), T(0) = 40.Find the functionT(t) by solving this IVP. Use either the method of solving separable or of solving linear DEs. Include k in your calculations as an initially unknown parameter. (b) After 10 minutes the temperature of the milk has risen to 50?F. Use this information to find k as a decimal number. (c) How many minutes does it take for the temperature of the milk to rise to 60? F?
The plus sight and minus sight distances were kept approximately equal. Readings (in feet) listed in the order taken are 5.06 (+s) on BM tree, 8.99 (-s) and 7.33 (+s) on TPI, 2.52 (-s) and 4.85 (+s) on BM X, 3.61(-s) and 5.52 (+s) on TP2, and 7.60..
The average volumetric water content is 0.40 over the upper 4 meters and 0.30 over the remaining 3 meters above the water table and the net infiltration rate (Darcy velocity) is estimated to be 22 cm/yr.
survey with construction applicationsquestion 1layout of highway curvesa. is an approximation technique.b. should be
Perform this calculation using cylindrical coordinates. Cylindrical coordinates are the same as polar coordinates, with the addition of a third, z-axis.Recommend that the z-axis be placed up the axis of rotation for ?.
Compare the total reactor volume required for 90% removal of a substance that decays according to first-order kinetics with a rate constant of 0.05 day -1 in a CM system that contains a single reactor against a system that contains three CM reacto..
1. the maximum eight-hour average concentration of carbon monoxide co in an urban area is measured to be 15 ppm. the
the trailer has a mass of 580 kg and a mass center at g. the spool has a mass of 200 kg with a mass center at o and a
Determine the velocities and u and w and the speed of the flow along the streamline at (3,2). Determine the slope of the streamline in degrees from horizontal. Determine the acceleration at the point. Determine the pressure at the point (3,2) in N/m2..
A chlorination process is to be used to disinfect a wastewater treatment plant effluent. The plant treats 1.8MGD (million gallon per day). The water entering this unit has about 4500mg/L of coliforms, and the effluent target is 0.1 mg/L of coliforms.
A 10-min experimental run shows that 75% of a reactant is converted to a product by a zero-order reaction rate. What would be the fraction converted in a half-hour run. Assume the reactor is a batch reactor.
Imagine two small towns of 1,000 people: Blacktop and Parktown. In the urban sprawl that is Blacktop, all the residents own fuel-efficient cars (15 km/liter) and travel an average of 20,000 km per year.
A dam is inclined at an angle of 30o from thevertical and has the shape of an isosceles trapezoid 100 ft wide atthe top and 50 feet wide at the bottom and with a slant height of70 ft. Find the hydrostatic force on the dam when it is full ofwater?
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