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The strength of a rectangular beam is proportional to the product of its width and the square of its depth. Find the dimensions of the strongest beam that can be cut from a circular cylindrical log of radius r.
Show the similarities between dividing two fractions and dividing two rational expressions using examples of each; Explain your steps.
Transform the equation to standard form and find the center and radius of the circle:
Now verify that the subgame-perfect equilibrium is for the crook not to confess and for the policeman to go back on his threat. That is, explain why the policeman's threat is actually not credible.
For speeds between 40 and 65 mph, a truck gets 480/x miles per gallon when driven at a constant speed of x miles per hour. Diesel gasoline costs 2.23 per gallon, and the driver is paid 15.10 per hour.
Calculate the compound interest.
A researcher determines there is a significant difference
For an electric circuit, let V=cos 2pi(t) model the electromotive force in volts at t seconds. Find smallest positive value of t where 0
On the other hand, give an example of a metric space in which every Cauchy sequence converges; and then prove this metric space is Cauchy sequence and also converges.
A triangle has three angles, R, S, and T. Angle T is 40° greater than angle S. Angle R is 8 times angle S. What is the measure of each angle?
How many satellite radios of each model should be produced each day to maximize Soundex's profit? What is the maximum profit?
Assuming that the breaking strengths are normally distributed, what is the probability that one randomly selected steel bar will have a breaking strength in the range from 241 to 252 pounds per square inch?
A boat race runs along a triangular course marked by buoys A, B, and C. The race starts with the boats headed west for 3600 meters. The other two sides of the course lie to the north of the first side, and their lengths are 1500 meters and 2800 me..
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