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Find the osculating plane of the circular helix r(t) = costi + sintj + tk at the point (0, 1, pi/2)
A plane flying horizontally at an altitude of 1 mi and a speed of 440 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 mi away from the station.
Prove Let D be a nontrivial connected digraph. Then D is Eulerian if and only if od(v)=id(v) for every vertex v of D. Od means the outdegree of a vertex v of a digraph D. (is the number of vertices of D that are adjacent from v.
Rewrite the equation with the right side completely factored.
What is the probability that he obtains a four -digit number less than 3265? A child takes four of the card and places them in some order.
Suppose that 520 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the blue outline represents the fencing.) Find the dimensions of the corral with maximum area.
The format for the final answer should be similar to this one: if the problem is tan^(-1) * (2i). answer: (n + 1/2)*pi + (i/2) * ln(3) , (n =0, +-1, +-2,...)
assume you can afford a down payment of equal to 25% of your yearly income which is 31,500, what is the total purchase price you can afford for a home?
Stating the null & alternate hypotheses
Suppose a given container has 2 non-working engines. Find the probability that the container will not be shipped.
Regardless of the choice of parameter u. Determine the range of u values for which this fixed point is stable.
Determine the survival function and force of mortality of this distribution and determine the actuarial present value of a payment of 1, 000 at the moment of death of (x) providing that (y) is still alive , using δ = .04.
A windshield wiper is 3 feet long and the blade is 2 feet long. If the wiper can trace out an angle of 110 degrees, what area can the blade wipe?
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