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A circular filter of radius r cm has a concentric coated disk of radius 4 cm, with r>4. A wedge of angle π/4 is removed from the entire filter, including its coating. In the remaining filter the uncoated area is 5/2 times the coated area. Find r in the…
A rectangular light spot maintains area 240 cm2 as its length L and width W change, so LW = 240. At one instant L=12 cm and L is decreasing at 3 cm/s. Find the rate of increase of W.
A field photographer packs 2 distinct lenses from 6 available and 3 distinct filters from 5 available. Two particular filters must not be packed together. How many different kits can be assembled?
Find a exactly.
Find Var(X).
Find f⁻¹(x).
A function g satisfies (f∘g)(2x) = x wherever defined. Find g(x).
State a.
Rotate R through a full turn about the y-axis. Find its volume.
Find the probability that a randomly selected component triggers an alert.