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- Determine whether the planes are parallel, perpendicular, or neither. If the planes are neither parallel nor perpendicular, find the angle between them.
- Where is the greatest integer function f(x)= ⌊x⌋ not differentiable? Find a formula for f’ and sketch its graph.
- Find the centroid of the region in the first quadrant bounded by the given curves y=x^3 and x=y^3
- Find the length and width of a rectangle that has the given area and a minimum perimeter.
- If a and b are mutually exclusive events with p(a) = 0.3 and p(b) = 0.5, then p(a ∩ b) =
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ContentsExpert Answer:Numerical Results:Example: Expert Answer: The greatest integer function is not differentiable on any real value of x because
ContentsExpert Answer:Numerical Results:Alternative Solution:Example: Expert Answer: As discussed above, the region formed by the two curves is shown
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An experiment yields four results, each with $ P ( E_1 ) = 0.2 $, $ P ( E_2 ) = 0.3 $ and $ P ( E_3 ) = 0.4 $. What is the probability of $E_4