Identify the equation as a parabola, circle, ellipse, or hyperbola.4x2 = 16y2 + 64
A. Ellipse
B. Circle
C. Parabola
D. Hyperbola
Answer: D
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Make the required change in the given equation.r = 6 to spherical coordinates
A. ? = 6 csc ?
B. ?2(1 - cos ?) = 36
C. cos ? =
D. ? = 6 sin ?
Find a system of inequalities to describe the given region.Points inside the triangle that has vertices (0, 0), (0, 6), and (8, 0).
A. x > 0, y > 0, y > - x + 6
B. x > 0, y > 0, y < x + 6
C. x > 0, y > 0, y < - x + 6
D. x > 0, y > 0, y < - x + 8
Use the elimination method to solve the system. -2x + 4y = -5-10x + 20y = -25
A. (-20, 10) B. Infinitely many solutions C. (10, -20) D. No solution
Sketch the function represented by the given parametric equations. Then use the graph to determine each of the following:a. intervals, if any, on which the function is increasing and intervals, if any, on which the function is decreasing.b. the number, if any, at which the function has a maximum and this maximum value, or the number, if any, at which the function has a minimum and this minimum value.x = 3t, y = t
A. Increasing on: (0, ?)
B. Decreasing on: (0, ?)
C. Increasing on: (0, ?)
D. Increasing on: [1, ?); Minimum: (1, 1)