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Find the length of the cardioid x(t) = 2 cos t - cos 2t, y(t) = 2 sint - 2sint - sin 2t for 0 ≤ t ≤ 2π.
Confirm that (C ([a, b]) , II·II infinity ) where II f II infinity= max I f (x) I a
about the bisectors of a segment in a plane?
Classify the following differential equations as linear/nonlinear. Also, what is the order of the following differential equations?
Let F be the face of optimal solutions of the linear program max{cx: x ∈ P}, where P={x∈Rn:Ax≤b}. Let MF= be the equality set of F and let u* be any optimal solution of the dual linear program. Show that ui*=0 if i∉MF=.
One hundred stones are placed on the ground 3 feet apart, the first being 3 feet from a basket. If the basket and all of the stones are in a straight line, how far does a person travel who starts from the basket and brings the stones to it one by ..
If the test is positive, what is the probability that the person actually has hepatitis? (Round your answer to five decimal places.)
Construct a 99% confidence interval for the population mean total fat, in grams per serving.
the governor of a large northeastern state is trying to decide whether to veto a bill that she opposes that has been
If a = i + 7j + k and b = i + 13j + k , find a unit vector with positive first coordinate orthogonal to both a and b in terms of i, j, and k.
Suppose that an automobile's velocity starting from rest is v(t) = 270t/3t + 11 where v is measured in feet per second. Find the acceleration at 7 seconds. Round your answer to one decimal place.
Complete all three parts. a) Can I square 9 minus x by first squaring the 9 then squaring the x? In other words, would this be correct: 9sq minus xsq? Why or why not? If it is incorrect, what would be the correct way?
find the slope of an object either where you live, where you work, or outside somewhere. Examples might include a ladder positioned against a wall or against a house, a banister on a set of stairs, a slide in a park, etc.
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