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1. Find an equation of the ellipse with the center (0,0) , vertical major axis 14 and minor axis 10.
2. Find an equation for the hyperbola with the focus (11,12) and asymptotes 4x-3y=18 and 4x+3y=30.
3. Find the arc length of the curve given by x = sin t - cos t, y = sin t + cos t, pi/1 <= t <= 3pi/4
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
Small boxes of NutraFlakes cereal arelabeled "net weight 10 ounces." Each hour ,random samples of size n=4 boxes are weighed to check process control. five hours of observations yielded the following:
A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three regions are colored red, two are colored green and one is colored yellow
Evaluate the equation of the standard rectangular hyperbola and equation of the tangent and normal at a point to rectangular Hyperbola
Groups: Isomorphisms and Mappings, Let G be the additive group of all real numbers, and G' be the group of all positive real numbers under multiplication
Develop a tree diagram for tossing two, eight-sided gaming dice to figure out how many possibilities there are. Define Tree Diagram and Dice Tossing
Given that f(x)=exp(-x), please show that its moment generating function is given by M(z)=1/(1-z), and show that the kth moment about the origin is k.
Equation of the hyperbola if equations of Asymptotes are given - Determine angles between the Asymptotes of the Hyperbola.
In the class, there are 12 freshmen, of whom 8 are males and 15 sophomores, of whom 5 are females. If one student is selected at random, what is the probability of selecting a freshman or a female?
Suppose that E is a normed linear space, and C is a subset. Prove that C is weakly bounded if and only if C is norm bounded. Conclude that weakly convergent sequences in E are bounded.
What is the probability of getting the indicated result
Find the perimeter of the rectangle - the perimeter and then evaluate the perimeter polynomial If x is 4 feet.
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