Identify the equation as representing either a circle, a parabola, an ellipse, or a hyperbola.-x + 9y + 6xy = 11
A. Circle
B. Ellipse
C. Hyperbola
D. Parabola
Answer: C
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Using the horizontal-line test, determine whether the function is one-to-one.
A. one-to-one B. not one-to-one
Solve the equation by making an appropriate substitution.x2/3 + 2x1/3 - 15 = 0
A. {-3, 5} B. {-27, 125} C. {-125, 27} D. {-5, 3}
Find the product.(x + 4y)3
A. 3(x + 4y) B. x3 + 64y3 C. x3 + 4x2y + 8xy + 16xy2 + 32y2 + 64y3 D. x3 + 12x2y + 48xy2 + 64y3
Solve the problem.The force F (in N) exerted by a cam on a lever is given by F = x4 - 13x3 + 44x2 - 57x + 22, where x (1 ? x ? 5) is the distance (in cm) from the center of rotation of the cam to the edge of the cam in contact with the lever. Find the instantaneous rate of change of F with respect to x when x = 3 cm.
A. -23 N/cm B. -36 N/cm C. -15 N/cm D. -63 N/cm