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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?
A stone thrown upward from the top of a 80 ft cliff at 118 ft/sec eventually falls to the beach below. (For this problem take the acceleration due to gravity to be -32 ft/sec; take upwards to be a positive direction.)
In trip calculation, it is observed that a Wal-Mart store driver successfully made a total of 104 trips in a given period of time. During field calculation, it is shown that the calculated number of trips is actually 128. What is the value of the ..
How do you make a decision in this situation? Also, how can one come up with the probability of success (or failure)?
The yearly production of a 6 foot orange tree is 40 pounds of oranges. A 17 foot tree produces 88 pounds. Let h represent the height of an orange tree and p the number of pounds of oranges produced. Use the information to answer the question shown..
If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
Simplify the group as a finitely generated abelian group.
What would you do if supply exceeded demand? What if demand exceeded supply?
Graph the function and answer the question using graph - What is the significance of the vertical asymptote (what does it mean in this context)?
Prove Let D be a nontrivial connected digraph. Then D is Eulerian if and only if od(v)=id(v) for every vertex v of D. Od means the outdegree of a vertex v of a digraph D. (is the number of vertices of D that are adjacent from v.
Asymptotes of trigonometric functions and Graph y = csc( 0.5x + pi/2) and y = cos( 0.5x + pi/2) on one set of coordinate axes.
A bag contains two red marbles, four green ones, one lavender one, three yellows, and five orange marbles. How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors?
Prove that if f is continuous at all values of x then so is kf where k is a constant. Give an example of a function that is continuous at all non-integer values but is discontinuous at all integer values.
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