Sketch a typical level surface for the function.f(x, y, z) = 10e2(y2 + z2)
A.
B.
C.
D.
Answer: D
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Write out all the terms of the series.
A. -x + -
+
B. -x + -
+
C. -x - 4x2 - 9x3 - 16
D. -x - -
-
The monthly demand for a certain brand of table wine is given by the demand equation
where p denotes the wholesale price per case (in dollars) and x denotes the number of cases demanded. Find the rate of change of the price to the nearest hundredth of a cent per case when x = 1,000.
?
A. The rate of change of the price is -2.23 cents per case. B. The rate of change of the price is -2.43 cents per case. C. The rate of change of the price is -4.46 cents per case. D. The rate of change of the price is -2.16 cents per case.
Graph the parabola, including its vertex, focus, and directrix.(x - 2)2 = 4(y + 5)
A. vertex: (2, -5); focus (2, -6); directrix y = -4
B. vertex: (2, -5); focus (2, -7); directrix y = -3
C. vertex: (2, -5); focus (2, -3); directrix y = -7
D. vertex: (2, -5); focus (2, -4); directrix y = -6
Solve the problem.A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface of the dish and are reflected to the focus, where the receiver is located. The satellite dish shown has a diameter of 10 feet and a depth of 4 feet. The parabola is positioned in a rectangular coordinate system with its vertex at the origin. The receiver should be placed at the focus The value of p is given by the equation
How far from the base of the dish should the receiver be placed?
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A. 1 feet from the base
B. feet from the base
C. feet from the base
D. 6 feet from the base