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As a highway patrol officer, you are patricipating in a speed trap. A car passes your patrol car which you clock at 55 mph. One and a half minutes later, your partner in another patrol car situated two miles away from you, clocks the same car at 50 mph. Using the mean value theorem for derivatives, show that the car must have exceeded the speed limit of 55 mph at some point during the one and a half minutes it traveled between the two patrol cars.
Starting from x = 0 with no initial velocity, the acceleration of a race car is defined by the relation a = 6.8e- 0.00057x , where a and x are expressed in m/s 2 and meters, respectively. Determine the position of the race car when v = 30 m/s.
As a further exercise, try to find values of t for your approximation that keeps the error (i.e., the difference between the approximation and the real function v(t) ) less than 0.1.Hint: to help with this, ask yourself this question: where would mor..
A development is being planned within a 250-acre watershed. The present land use is 120 acres of pasture, with soil type B(CN=61), and the rest soil type D (CN=80). The Tc is 54 min. and the 2-year, 24-hour storm depth is 4 in.
Draw circle and put line with angle inside the circle that reflected in it. Make sure the measurement is punctual for each one. Angels required are 20-40-60 degrees. that means you have to draw three circles.
an insulated tank is evacuated. Air from the atmosphere at 12 psia and 70 degrees farenheight is allowed to flow into the 100 cubic foot tank. What is the final temp and the final mass of air in the tank just after flow ceases.
A vertical gate keeps water from flowing in a triangular irrigation channel. The channel has a 4-m top width and a 3-m depth. If the channel is full, what is the magnitude of the hydrostatic force on the triangular gate and its location
Demand for a particular product is normally distributed with a mean of 100 units and a standard deviation of 20 per period. if there are 120 units in inventory at the beginning of this period:
You are assined the task of process design for a fixed-bed carbon adsorber system. You are given the following data: the inlet airstream flows at 5000 acfm (at 95 degrees F and 1 atm) and contains .2% n-pentane by volume
Write all code necessary to dynamically allocate an array of 10 double-precision, floating-point variables and then write the code that will de-allocate the memory. Add comment fields to each line of code describing what it is and does.
During a BOD test, 2 mL of waste water having a DO of 0 was mixed with 298 mL of dilution water having a DO of 8.9 mg/L. After 5 days and 20 days, it was noted that the DO of the test bottle was 4.0 and 2.5 respectively,
Fresh water enters the process in 3 streams – approx. 0.5 ML/d enters with chemicals at the dry end of the machine, approx. 1 ML/d enters at the wet end of the machine and the boiler consumes approx. 0.2 ML/d.
Develop a timeline up to 1900 with considerable expansion of Henry Martyn Leland's work at The Springfield Armory, Colt, Brown & Sharpe, and L & F (in Detroit)
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