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A fireplace arch is to be constructed in the shape of a semi ellipse. The opening is to have a height of 40 inches at the center and a width of 82 inches along the base. To sketch the outline of the fireplace, the contractor uses a 82-inch string tied to two thumbtacks. Where the thumbtacks should be placed.
1. 21 inches on either side of the center
2. 7 inches on either side of the center
3. 20 inches on either side of the center
4. 9 inches on either side of the center
A baseball is hit from a height of 3 feet with an initial speed of 120 feet per second at an angle of 30 degrees above the horizon. Find the vector-valued function describing the position of the ball t seconds after it is hit.
Objective questions based on regression
In one residence, cell phones, lap top computers and digital tvs are very popular among students. In fact, all of the students own atleast one of these items, although onlu 15 own all 3.
Let m'(A) = inf sum of |M_i| where i is from 1 to infinity, such that A is a subset of M_i. M_i's are disjoint.
Find the perimeter of the rectangle - the perimeter and then evaluate the perimeter polynomial If x is 4 feet.
Solving problems on venn diagram
Probabilities of deck of cards. A card is drawn from a well-shuffled deck of 52 cards. What is the probability of obtaining a diamond or a card smaller than 5?
Failures per day for a computer network follow the Poisson distribution with mean 0.3. What is the probability that two or more failures occur in
Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city.
Calculate the result from the given survey of voters - Evaluate the standard deviation from the range (i.e., use the range rule of thumb).
Suppose that f: C->C and that f is analytic at a point z0 element of C. Prove that there exists a real number r>0 such that, the nth derivative of z0=[n!/(2 pi r^n)]x[int(e^(-niy)f(z0+re^(iy)) from 0 to 2pi with respect to y for all n element of N..
Find the constant of variation and write an equation of direct variation -
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