Find the equation of the ellipse given: 1) Foci (0, \pm 5) 2) Vertices (0, \pm 8) Describe the graph of f(x) = a(x-h)^2 +k when a = 0. Is the graph the same as that of g(x) = ax^2 +bx+c when a=0? Explain. ...
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Find a parametric equation of the given curve. a. The intersection of the paraboloid z= 4x^2 + y^2 and the parabolic cylinder y=x^2 . b. The intersection of the cylinder (y+4)^2 + (z-3)^2 = 1 and the Find parametric ...
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How To Find Volume of Cylinder With Circumference and Height? We know that the circumference of a circle of radius 'r' is C = 2πr. Thus, when the circumference of the base of a cylinder (C) and its height (h) are given, then we first solve the equation C = 2πr for 'r' an...
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Find the equation of the orthogonal trajectories of the curves of y = kx^2. Use a graphing calculator to display at least two members of the family of curves and at least two of the orthogonal traject Find he equation of the orthogonal trajectories of the curves of y = c e^{11 ...