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1. Build an equation for a hyperboloid of two sheets with the following properties:a. The central axis of the hyperboloid is the y-axis
b. The two sheets are 4 units apart, and are mirror images of each other across the xz-plane.c. The hyperboloid intersects the plane y = 3 in a circle of radius 5.(b) Find an equation for a single curve in the xy-plane which, when rotated around the y-axis, would produce the hyperboloid built in (a). (Hint, set z = 0 in the equation from (a).)
1. The polynomial G(x) = -0.006x4 + 0.140x3 - 0.53x2 + 1.79x measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase
Find the equation for each of the two planes that just touch the sphere (x - 1) 2 + (y - 4) 2 + (z - 2)2 = 36 and are parallel to the yz-plane. And give the points on the sphere
Integrate following. ∫ -2 2 4x 4 - x 2 + 1dx Solution In this case the integrand is even & the interval is accurate so, ∫ -2 2 4x 4 - x 2 + 1dx = 2∫ o
Consider the following set of preference lists: Number of Voters (7) Rank 1 1
how to curve trace? and how to know whether the equation is a circle or parabola, hyperbola ellipse?
is 1/6 same as six times less
Arc Length - Applications of integrals In this part we are going to look at determining the arc length of a function. As it's sufficiently easy to derive the formulas that we'
E 1) Try the two activities detailed above with a few children around you Evaluate whether they really helped to improve the children's performance of mental arithmetic. Anot
use the point to generate a cosine function that models the sound wave. Name the amplitude Name the period Name the phase shift name the vertical shift Write the equation for the
how to multiply 8654.36*59
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