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The curves r1 = < 3t, t2, t3 > and r2 = < sin(t), sin(2t), 2t > intersect at the origin. Find their angle of intersection, θ correct to the nearest degree.
A rancher has 10,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture? Round to th..
Assume that the nonzero complex numbers from group G with respect to multiplication. If a and b are real numbers and i=sqrt -1, the conjugate of the complex number a+bi is defined to be a-bi.
Solving the word problem using the properties of similar triangles
Show that if we change the IVP to x(0) = 1, the same system , that is x' = 3 x^2/3, still has a unique solution on the interval ( minus infinity, plus infinity).
A total of 330 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold?
Two forces of 476 newtons and 271 newtons act at a point. The resultant force is 558 newtons. Find the angle between the forces.
A box with no top is to be built by taking a 6'' - by - 10'' sheet of cardboard and cutting x - in. squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box.
Suppose that the reorder costs are now R + Sx, where R is the cost of reording exclusive of shipping cost, and S is the shipping charge per item The cost function is now: C(x)= Hx/2 + D(R+Sx)/x Find the lot size, in terms of D, H, R and S, that wi..
Let h(sub n) denote the number of ways to perfectly cover a 1 by n board with monominoes and dominoes in such a way that no two dominoes are consecutive.
a carpenter used 30 ft of trim to finish 3 sides of the opening for a garage door. If the side paralle to the ground is 9 ft longer than either of the other two sides, then what are the dimensions of the doorway?
Apply DeMoivre's Theorem to solve the following: any angles that are multiples of pi/6, pi/4, pi/3, pi/2 or pi must be converted back into regular complex form!
Show that the mass, momentum, and energy are constants of motion (invariants) for the KdV equation by direct differentiation with respect to time.
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