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.
Mathematics
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Find the standard form of the equation of a circle that satisfies the given conditions.Diameter with endpoints (2, 5) and (2, -5)
A. (x - 2)2 + y2 = 25 B. x2 + (y - 5)2 = 4 C. (x - 5)2 + y2 = 4 D. (x - 2)2 + y2 = 5
Mathematics
Plot the point given in polar coordinates.
A. 
B. 
C. 
D. 
Mathematics
Give the value of the function in radians. Round to the nearest thousandth when necessary.sin-1 -0.4320
A. 2.695 B. 3.588 C. 2.018 D. -0.447
Mathematics
Use the laws of exponents to simplify. Write the answer with positive exponents.
A. y1/2
B. y
C. y2/3
D. 
Mathematics