Solve the problem.The floor plan of a building is shown in the figure below. Is it possible to start in one of the rooms of the building, walk through each door exactly once, and end up in a different room from the one you started in? (Consider the outside a "room".) Justify your answer.
What will be an ideal response?
No. Each room (including "outside") has an even number of doors. Thus, an Euler path starting and ending in different rooms is not possible.
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Find the length of the parametric curve defined over the given interval.x = 5 sin t - 5t cos t, y = 5cos t + 5t sin t, 0 ? t ?
A. ?2
B. ?2
C. ?
D. ?2
Write the point-slope form of the line satisfying the conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation in function notation.Slope = , passing through (0, 4)
A. f(x) = x + 4
B. f(x) = x - 4
C. f(x) = - x - 4
D. f(x) = x +
Find the area of the specified region.Shared by the circle r = 8 and the cardioid r = 8(1 + sin ?)
A. 16(5? + 8) B. 64 C. 16(5? - 8) D. 0
Solve the problem.At a certain company, 64.5% of the employees have engineering degrees. Express this percent as a decimal.
A. 645 B. 0.0645 C. 6.45 D. 0.645