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Question: A rod of length 1 meter has density δ(x) = 1+ kx2 grams/meter, where k is a positive constant. The rod is lying on the positive x-axis with one end at the origin.
(a) Find the center of mass as a function of k.
(b) Show that the center of mass of the rod satisfies 0.5x¯.
The amount of pollution varies directly with the population of a city. City A has a population of 6 60,000 people and produces 4 1 0,000 tons of pollution.
a. Determine the number of luxury cars that must be produced and sold to obtain the max profit b. Determine the max profit in dollars
1) An airplane flying at an altitude of 6000 feet sights the angle of depression to a control tower to be 14 degrees. Find the horizontal distance the plane is from the control tower. (Disregard the height of the tower.)
The equivalent circuits of Figure are constructed on the basis of an impedance and series voltage sources.
Find an equation of the tangent line to the graph of y = f (x) at the point with x = 6. Choose one of the options and then explain your reasoning in one sentence.
At the the Pittsburg zoo, children ride a train for 25 cents, adults pay $1.00, and Senior citizens 75 cents. On a given day, 1400 passengers paid a total of $740 for the rides.
If they can load all the money they take in at 10% interest, what interest rate on deposits will generate the best profit
The World Bank uses per-capita income to make distinctions among countries. List at least three countries in the following categories last year: high-income, upper-middle, lower-middle and lower-income.
what's the highest score possible
several freshman tried out for the track team. after round 1 12 of them were eliminated. after round 2 13 were
Find an equation of the ellipse having a major axis of length 8 and foci at (-5,2) and (-5,-2).
Find the solution of differential equation using power series y''-2y=0
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