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Optimization : In this section we will learn optimization problems. In optimization problems we will see for the largest value or the smallest value which a function can take.
In this section we will look at another kind of optimization problem. At this time we will be looking for the largest or smallest value of a function subject to some type of constraint. The constraint will be some condition (that can generally be defined by some equation) that has to absolutely, positively be true no matter what our solution is. On instance, the constraint will not be described easily by an equation, however in these problems it will be simple to deal with
Three payments of $2000 (originally due six months ago, today, and six months from now) have been renegotiated to two payments: $3000 one month from now and a second payment due in
.755 convert to a percent
How many ways can 4 DVDs be arranged on a shelf? Solution: There are 4 ways to choose the first DVD, 3 ways to choose the second, 2 ways to choose the third and 1 way to choo
railway tunnel of radius 3.5 m and angle aob =90 find height of the tunnel
A pilot is flying over a straight length of road. He determines the angles of depression of two mileposts, 5 miles apart, to be 32° and 48°. a) Find the distance of the plane f
In parallelogram ABCD, m∠A = 3x + 10 and m∠D = 2x + 30, Determine the m∠A. a. 70° b. 40° c. 86° d. 94° d. Adjacent angles in a parallelogram are supplementary. ∠A a
compare: 643,251; 633,512; and 633,893. the answer is 633,512. what is the question?
The following table contains some information about the model used. Assume the probabilities given by the model are those of being a good writer. Variable
1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
Prove that in any triangle the sum of the squares of any two sides is equal to twice the square of half of the third side together with twice the square of the median, which bisect
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