Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations.x =
, y = 4t + 2; 0 ? t ? 4
A. y = 2x2 + 4; -1 ? x ? 2
B. y = 4x2 + 2; 0 ? x ? 2
C. y = -2x + 19; 0 ? x ? 2
D. y = -2x2 + 19; 0 ? x ? 2
Answer: B
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An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Function z = 7x + 6yConstraints x ? 0 y ? 0 3x + y ? 21 x + y ? 10 x + 2y ? 12
A. Maximum 68; at (8, 2) B. Maximum 66; at (6, 4) C. Maximum 65.5; at (5.5, 4.5) D. Maximum 60; at (6, 3)
Solve the problem.The polynomial function H(x) = - 0.001183 x4 + 0.05495 x3 - 0.8523x2 + 9.054 x + 6.748models the age in human years, H(x), of a dog that is x years old, where x ? 1. Using the graph of this function shown below, what is the approximately equivalent dog age for a person who is 60?
A. 8.5 years B. 11 years C. 12.5 years D. 9 years
Solve the problem.If (3, 2) is the endpoint of a line segment, and (2, 0) is its midpoint, find the other endpoint.
A. (1, 4) B. (1, -2) C. (5, 6) D. (-1, 0)
Answer the question.Does f(x) = f(2)?
A. No B. Yes