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1) A building has an entry with the shape of a parabolic arch 66 feet high and 46 feet wide at the base. Find an equation for the parabola if the vertex is placed at the origin of the coordinate system.
2) A comet follows the hyperbolic path described by x2/5 - y2/22 = 1, where x and y are in millions of miles. If the sun is the focus of the path, how close to the sun is the vertex of the path?
3) A picture frame has a perimeter of 106 cm and a diagonal √1549 cm. What are the dimensions?
4) Find the vertices of the ellipse: 3x2 + 5y2 - 42x + 40y + 212 = 0
5) A cross-section of an irrigation canal is a parabola. If the surface of the water is 17 feet wide and the canal is 2 feet deep at the center, how deep is it 1 feet from the edge?
If H and K are subgroup of G, with K a normal subgroup of G, K intersect H=1 and KH=G, then G is called a semidirect product (or split extention) of K by H.
Sufficient evidence to suggest that the democratic candidate.
Students are given three chances to pass a basic skills exam for permission to enroll in Calculus I. Sixty percent of the students pass on the first try; of those who fail on the first try, 54% pass on the second try; and, of those remaining, 48% ..
Find the directional derivative at the point P in the direction indicated.
what is the smallest number of the remaining 25 votes that a must recieve to guarentee a winn for a?
Are closures and interiors of connected sets always connected? (Look at subsets of R2).
Manufacturer of mp3 players is preparing to set the price on a new model and demand is thought to depend on the price and is represented by the model
two fire towers are 30 km apart towera being due west of tower b. a fire is spottedfrom the towers and the bearings
a plane takes off at an angle of 6 degrees traveling at the rate of 205 feet per second. if it continues on this
Use Gauss's law to find the charge enclosed by the cube with vertices {(+/-)1,(+/-)1,(+/-)1} if the electric field is E(x,y,z) = 4xi+2yj+1zk
An orchard contains 62 peach trees with each tree yielding an average of 50 peaches. For each 1 additional trees planted, the average yield per tree decreases by 9 peaches. How many trees should be planted to maximize the total yield of the orchar..
What % of the total accounts receivable is over 90 days?
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