Classify the polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the leading coefficient, and the degree of the polynomial.g(x) = 334x2 + 4151x3
A. Quadratic; 334x2; 334; 2
B. Quadratic; 4151x2; 4151; 2
C. Cubic; x3; 4151; 3
D. Cubic; 4151x3; 4151; 3
Answer: D
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Compute the product. [1 4 -7]
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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 66; at (6, 4) B. maximum 68; at (8, 2) C. maximum 60; at (6, 3) D. maximum 65.5; at (5.5, 4.5)
Perform the matrix operation.Given A = and B =
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A ladder 20 feet long is leaning against the wall of a house (see the figure below). The base of the ladder is pulled away from the wall at a rate of 2 feet per second. How fast is the top of the ladder moving down the wall when its base is 14 feet from the wall? Round your answer to two decimal places.
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?
,
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A. 6.00 ft/sec
B. -5.33 ft/sec
C. -1.96 ft/sec
D. 5.33 ft/sec
E. -5.00 ft/sec