Provide an appropriate response.Over what intervals of x-values, if any, does the function y = 2x2 increase as x increases? For what values of x, if any, is y ' positive? How are your answers related?
What will be an ideal response?
The function y = 2x2 increases (as x increases) over the interval 0 < x < ?. Its derivative y ' = 4x is positive for x > 0. The function increases (as x increases) wherever its derivative is positive.
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Find the volume under the surface of the specified figure. z = x2 + y2; R = {(x, y): 0 ? x ? 4, -3 ? y ? 1}
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A deck of cards contains 52 cards. These cards consist of four suits (hearts, spades, clubs, and diamonds) of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. If a card is chosen from a deck of cards, find the probability of each event.Selecting the 9 of clubs
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Name the quadrant in which the angle ? lies.cot ? > 0, sin ? < 0
A. I B. II C. III D. IV
Find an equation for the circle.Center at (0, 1), radius 3
A. x2 + (y + 1)2 = 3 B. (x - 1)2 + y2 = 9 C. x2 + (y - 1)2 = 9 D. (x + 1)2 + y2 = 9