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1.      Provide a simple formula or rule that generates the terms of an integer sequence that begins with the given list. Assuming that your formula or rule is correct, determine the next three terms of the sequence.

1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1,…


Fi‎nd the flu‎x of ->F (x, y, z) =〈4x, 3z + x^2, (y^2)/2> a‎cross the po‎sitively or‎iented su‎rface S giv‎en by ->R(u, v) = 〈2u, 4v, −u^2〉, 1 ≤ u^2 + v^2 ≤ 4,


Solve the spherical triangle right angled C given a= 23° 10' and c = 25° 12'


Solve the spherical triangle ABC right angled C given c= 56° 13' and b = 48°30'


F‎‎‎‎‎‎‎‎ind the mass of the lamina in the shape of the portion of the plane with equation 4x + 8y + z = 8 in the ‎‎‎‎‎first octant if the area density at any point (x, y, z) on the plane is δ(x, y, z) = 6x + 12y + z g/cm^2.


A researcher claims that a 20 year old women on a special diet will have an average weight of 110 pounds. A sample of 15 women has an average weight of 112.5 lbs and a standard deviation of 5 pounds. At 8 = 0.01 can the clean be rejected?


Find the work done in moving a particle along a curve from point A(1, 0, −1) to B(2, 2, −3) via the conservative force field ~F (x, y, z) = 〈2y3 − 6xz, 6xy2 − 4y, 4 − 3x2〉.

(a) using the Fundamental Theorem for Line Integrals;

(b) by explicitly evaluating a line integral along the curve consisting of the line segment from A to P (1, 2, −1) followed by the line segment from P to B.


what do you think the variance of the sampling distribution of the sample mean with a population variance of 200 and a sample size of 20



if the population size is equal to 5 and the sample size is equal to 4. how many possible sample can be drawn using the formula of without replacement


determine the general antiderivatives of the following functions f(x)=(x+1)100

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