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Let H = Span {v1, v2} and B = {v1, v2}. Show that x is in H, and find the B-coordinate vector of x, when
Is the pair of lines parallel, perpendicular, or neither?
Find the area of the region enclosed by one loop of the curve. Find the exact length of the polar curve.
Determine the amplitude, period and phase shift of Y = ½ sin (x+π) and graph one period of the function.
A boat travels 72 miles upstream in the same time that it takes to travel 120 miles downstream. The speed of the boat in still water is 32 mph. Find the speed of the current.
You are experimenting with designs for a fruit bowl with a square base. The general idea is to attach congruent regular polygons to the sides of the base and "fold them up" until the closest edges of adjacent polygons meet.
Question is about a theater who sells 2 sizes of popcorn. The micro box has the dimensions of 2,4 and 6 inches. The jumbo box has the dimensions of 4,8 and 12 inches.
Use synthetic division to find the function values. f(x) = x^4 - 16; find f(3), f(-3), f(1 - square root of 5)
How many bacteria will be in the culture after 7 hours? 1 5. (4 points each) Consider the function f (x) = x + . x (a) What is the domain of the function?
Write the equation for a 3 dimensional parabola (parabaloid) opening up toward the positive z-axis with vertex on the xy-plane at the point (-3,1)
Determine an equation for the right bisector of the line segment with endpoints P(-5,-2) and Q(3,6)
what would be the force required to push a 100 pound object along a ramp that is inclined 10 degree with the horizonal.
Quadratic equations may be solved by graphing, using quadratic formula,completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Explain why?
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