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A parametrized curve is given by: r(t)= (3cos(t), 5sin(t), 4cos(t))
1. at t= π/4 , determine the vector r→'(t) X r→''(t). (First derivate crossed with second derivate)
2. At t= π/4 , find the unit tangent and the principal normal vectors T(t) and N(t).
A box contains 10 items, of which 3 are defective and 7 are non-defective. Two items are randomly selected, one at a time, with replacement, and x is the number of defective items in the sample.
Sally needs a new car. She is trying to lesson her "carbon foot print", but at the same time she wants to spend her money wisely. She is deciding between the Lexus RX 450h (hybrid) and the Lexus RX 350. The RX 450h costs $43,700 with anticipat..
If a string wound around a fixed circle is unwound while held taut in the plane of the circle, its end P traces an involute of the circle. the circle in question is x^2+y^2=1 and the tracing point starts at (1,0).
Find first and second partial derivatives of f (x, y) = x3 e1+2y + sin(x2 + y2). 2. Find ∂z/∂y if x3+ y3 + 4z2 + 6xyz = 1. Find the maximum rate of change of f(x, y) = x2y + √y at the point (2, 1). In what direction does it occur?
The bucket is filled with 38 lb of water and is pulled up at a rate of 5 ft/sec, but water leaks out of the bucket at a rate of 0.4 lb/sec. Find the work done in pulling the bucket to the top of the well.
Probability - birthday, What is the probability that at least 2 of the 435 members of the House of Representatives have the same birthday
find the least perfect squared number
Find the absolute maximum and minimum mpg
when using your calculator write down what you used for inputs functions stored in y1 or y2 window settings input
The line y=0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year.
find whether the given expression is a function or not.which of the following are functions? thenbsplast two problems
In 2005, the average commuting time to work in New York was 31.2 min. The average commuting time in North Dakota was 14.9 min shorter. How long was the average commute in North Dakota?
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