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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?
Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use as the acceleration due to gravity.)
A ball of radius 12 has a round hole of radius 5 drilled on an axis through its center. Find the volume of the resulting solid.
Find the solution to the given system for the given initial condition
How would the construction of the Lebesgue measure in R2 change if we assume at the beginning that the measure of the unit square [0, 1]Ã?[0, 1] is =2?
a plot the data points with the best-fit line is given below. what is the numerical value of the height as perdicted by the best-fit line of an age of 20 weeks.
Important information about Probability : Random Selection, A man has been guessing colors of cards drawn from a standard deck of cards. During the first 50 draws he kept track of the number of cards of each color
Application of calculus
Probability and Random Selection, A 4 person grievance committee is to be composed of employees in 2 departments, A and B, with 15 and 20 employees
Find the height at which the light has to be fixed to get its use in maximum area using its perimeter function
Relation between Cyclic Group and Abelian Group. If G is a finite group whose order is a prime number p, then G is a cyclic group. Or, Every group of prime order is cyclic. Or, Every group of prime order is abelian.
a production process requires a fixed cost of $50,000. The variance cost per unit is $25 and the revenue per unit is projected to be $45. Find the break-even point.
A merchant has coffee worth $20 a pound that she wishes to mix with 50 pounds of coffee worth $80 a pound to get a mixture that can be sold for $30 a pound. How many pounds of the $20 coffee should be used.
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