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a) using differential calculus calculate the area of the stainless steel. b) using the second derivative determine if this is the minimum volume.
One truck may deliver to more than one grocery. Formulate an ILP that can be used to minimize the daily cost of meeting the demands of the five groceries.
How do we calculate or determine the distances to stars? What units do we use and what are the limitations (if any) of the method used for such calculations?
Four trucks are available to deliver milk to five groceries. Formulate an ILP that can be used to minimize the daily cost of meeting the demands of the five groceries.
How fast is the area of the triangle changing when x = 40 in, y = 50 in,and θ = π/6?
A balloon is directly west of two observing stations 10 km apart. The angles of elevation of the balloon from the two stations are 17 degrees and 78 degrees. How high is the balloon?
Express the cost as a function of the number of toaster ovens produced, assuming that it is linear. Then sketch the graph.
Question: A house contains one 12-foot-×-14-foot bedroom, one 12-foot-×-10-foot bedroom, and one 8-foot-×-12-foot bedroom. What's the total amount of carpeting needed to carpet all
A fisherman in a small boat starts at the point (80, 60) and moves toward the buoy, which is located at (0, 0). Is the water under the boat getting deeper or shallower when he departs?
At a certain moment, car A is 0.3 km from the intersection and traveling at 90 km/h while car B is 0.4 km from the intersection and traveling at 80 km/h. How fast is the distance between the cars ch
Scientists estimate that the average temperature is rising at a rate of 0.15 °C/year and rainfall is decreasing at a rate of 0.1 cm/year. They also estimate that, at current production levels, &p
They also estimate that, at current production levels, ∂W/∂T = - 2 and ∂W/∂R = 8. (a) What is the significance of the signs of these partial derivatives?
At pH 9.2, seconal absorbs at 239 nm. At pH 13, the absorbance shifts to 254 nm. Of what class of compounds is this characteristic and why?
Find the rate at which the pressure is changing when the temperature is 300 K and increasing at a rate of 0.1 K/s and the volume is 100 L and increasing at a rate of 0.2L/s.
Would you use UV spectrophotometry to screen for either or both of methamphetamine and diazepam compounds?
If a function of one variable is continuous on an interval and has only one critical number, then a local maximum has to be an absolute maximum. But this is not true for functions of two variables.
What was the concentration of tylenol in the solution? If the absorbance of a basic solution of tylenol was 2.0, what would its concentration be?
Compound A absorbs at 268 nm, B at 278 nm, and C at 316 nm. What might you conclude about the structures of these three compounds?
Suppose that you are climbing a hill whose shape is given by the equation z = 1000 - 0.01x2 - 0.02y2 and you are standing at a point with coordinates (60, 100, 764).
How can the relative scarcity of drugs that fluorescence be an advantage in some instances and a disadvantage in others? Why is UV/visible spectrophotometry most often used for screening rather than f
The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (1, 2, 2) is 120°. Find the
Compute ∂C/∂T, ∂C/∂S, and ∂C/∂D when T = 10 ?, S = 35 parts per thousand, and D = 100 m. Explain the physical significance of these partial derivatives.
A certain ball has the property that each time it falls from a height onto a hard, level surface, it rebounds to a height rh, where 0 < r < 1. Suppose that the ball is dropped from an initial
The pressure, volume, and temperature of a mole of an ideal gas are related by the equation PV = 8.31T, where P is measured in kilopascals, V in liters, and T in kelvins
The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane.