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F(x,y) = x^3 + y - xy + 1
a) Are there points on the curve y = (x - 1)^2 where Gradient f is perpendicular to the curve?
b) Find the absolute maximum and minimum of the function in the region 1 >= x >= 0 and y >= 0.
What do you feel are the advantages of using graphs to show the relationships between variables? Give examples that demonstrate your opinions.
Find the product of all the three zero of the second polynomial
The strategy that maximizes the campus bookstore earnings.
Calculate an adjusted exponentially smoothed forecast
Isomorphisms, Residue Classes and Multiplication Tables, Show that U(10) is isomorphic to Z_4 and write out the isomorphism explicitly.
Important information about Probability : Sampling without Replacement A bag cotains 10 nickels, 5 dimes, and 3 quarters. If you draw 3 coins at random from the bag, without replacement
what is the probability that one of these resistors picked at random will have a resistance of 16 ohms or more?
Analysis of variance tests
A pilot, attempting to fly from Middletown to Westburg, a distance of 200 miles, notices after flying 180 miles that West burg is still 35 miles away because the heading was off by a few degrees.
Conditional Probability of Drawing Different Kinds of Cards. A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting
How many different arrangements of the entries are possible? If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
Suppose that you select 2 cards without replacement from an ordinary deck of playing cards. If the first card that you select is a king, what is the probability that the second card that you select is a heart?
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