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Identify the critical points and find the maximum value and minimum value on the given interval g(x)=1/1+x^2 ; I=[-3,1]
(a) what is the probability that the total life of both batteries will exceed 760 hours? (b) what is the probability that the second battery will outlive the first by at least 25 hours?
Among all rectangular solids defined by the inequalities 0 ≤ x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ 1, find the one for which the outward flux of F = (-x2 - 4xy)i - 6yzj + 12zk outward through the six sides is greatest. What is this maximum flux?
An older computer's CPU speed was 8 megahertz, but after an upgrade it was 200 megahertz. What percentage is the speed increase?
The width of a rectangle is 1 foot less than the length. The area is 20 feet squared. Find the length and width.
What four steps should be used in evaluating expressions? Can these steps be skipped or rearranged? Explain your answers.
In any group G, some of the elements of G commute with all of the other elements in G. The set of all such elements in G is called the centre of G, and is denoted by Z(G).
Use the Theorem of Pappus to ?nd the volume of the given solid.
Three balls are to be randomly selected with replacement from an urn containing 20 balls numbered 1 through 20. If we bet that at least one of the drawn balls
If hazelnuts sell for $6 per pound and chocolate sells for $3 per pound, how pounds of each must they mix to get their desired product?
Without expansion (until you reduce it to 2 x 2 order), by using the properties of Determinants - Linearly Dependent over Field
What does the average cost per board tend to as production increases?
A tank contains 200 liters of fluid n which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 4L/min; the well-mixed solution is pumped up at the same rate.
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