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Flying with the wind a plane went 154 mph. Flying into the same wind the plane only went 124 mph. Find the speed of the wind and the speed of the plane in still air.
Archimedes principal of buoancy states that an object submerged in a fluid is buoyed up by a force equal to the weight of the fluid the object displaces.
An aquarium has a slate bottom that costs 8 cents/sq inch and glass sides which cost 1 cent/sq inch. The aquarium is to have a volume of 1024 cubic inches.
Find the exact length of the curve defined by y=2[(sqrt(x))^(3)]-1=2x^(3/2)-1 from x=0 to x=2. Set up the integral, use the substitution method( reverse chain rule),
Suppose V is a complex inner product space and T: V --> V a linear operator. Use the results from parts (a) and (b) to show V = im(T) + ker (T*) = im(T*) + ker(T).
Increasing and decreasing intervals.
Find all maximal normal subgroups of Z[p] × Z[q], where p and q are relatively prime. Would the elements from Z[p] have to be one that are relatively prime to q and vice versa?
Engineer collegues requires applicants. Asssume that the average score was 498 with standard deviation of 77 . Assume that scores are normally disturbuted
Probability- Different Colours of Marbles, A jar contains 3 white marbles, 2 yellow marbles, 4 red marbles, and 5 blue marbles. Two marbles are picked at random. What is the probability that
Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through the given point. Then write the equation in standard form.
This solution provides an analysis of how we evaluate personality theory over time, and how and why historical personality theories lend themselves to understanding people and events in modern times.
Graph the given function and label the vertex - Complete the square to write each function as a transformation.
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.
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