 ### Determine whether the planes are parallel, perpendicular, or neither. If the planes are neither parallel nor perpendicular, find the angle between them.

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### Where is the greatest integer function f(x)= ⌊x⌋ not differentiable? Find a formula for f’ and sketch its graph.

ContentsExpert Answer:Numerical Results:Example: Expert Answer: The greatest integer function is not differentiable on any real value of x because

### Find the centroid of the region in the first quadrant bounded by the given curves y=x^3 and x=y^3

ContentsExpert Answer:Numerical Results:Alternative Solution:Example: Expert Answer: As discussed above, the region formed by the two curves is shown

### Find the length and width of a rectangle that has the given area and a minimum perimeter.

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### If a and b are mutually exclusive events with p(a) = 0.3 and p(b) = 0.5, then p(a ∩ b) =

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