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What does the graph look like for the two parabolas y=x^2 and y= -x^2 + 2x - 5 in the same coordinate plane? Find equations of the two lines simultaneously tangent to both parabolas.
Differentiate the function f(x) =
Suppose instead of working on the Euclidean plane we study geometry on a sphere in (Euclidean) three space. We interpret point to mean any point on the sphere and we interpret line to mean any great circle on the sphere (that is any circumference ..
Let S = {1,2,3,4,5,6,7,8}. Determine: The number of subsets of S. The number of subsets of S with at most four elements
What conclusion should be drawn from these results?
discover that a certain prescription drug has an average price of $40 for $20 pills with a standard deviation of $5. Using this information, deduce with 95% accuracy where the national average cost of 20 pills lies
Audrey's 300-mile trip took six hours to complete. Find the ratio of average speed.
If a 90% confidence interval for the true mean wingspan for all dragonflies is calculated, do you expect this interval be wider or narrower than the interval obtained in part (a)? Why?
Determine if the given set constitutes a real vector space. The operations of "multiplication by a number" and "addition" are understood to be the usual operations associated with the elements of the set:
the measurement of a side of a square is found to be 12 inches, whith a possible error of 1/64 inch. Use differentials to approximate the possible error in computing the area of the square.
Can people really identify their favorite brand of cola.
By a line, a great circle on the sphere is referenced. Is it still true that two points determine a unique line? Is it still true that two distinct lines either meet in a single point or do not meet at all?
A father and his son can clean the house together in 4 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone.
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