Use the vertex formula to find the vertex of the quadratic function.f(x) = -7x2 + 14x + 2

A. (1, 9)
B. (2, -12)
C. (-1, -19)
D. (-2, -54)


Answer: A

Mathematics

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Find the absolute maximum and minimum values of the function on the given curve.Function:    curve:        (Use the parametric equations    

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A. Absolute maximum:   at    absolute minimum: 0 at    and  
B. Absolute maximum:   at    absolute minimum: 0 at    and  
C. Absolute maximum:   at    absolute minimum: 0 at    and  
D. Absolute maximum:   at    absolute minimum: 0 at    and  

Mathematics

Solve the problem.Let f(x,y) = ln (x2 + y2). Which one of the following curves is a simple closed path in the domain of the function f?

A. The unit circle x2 + y2 = 1
B. The unit circle (x - 5)2 + y2 = 1
C. The ellipse  +   = 1
D. The rectangle with vertices at (-3, 2), (3, 2), (3, -2), and (-3, -2)

Mathematics

Find the intercepts for the graph of the equation.-4x + 3y = 0

A. (0, 0); (0, 0) B. (0, -8); (-2, 0) C. (0, -2); (0, -8) D. (-2, 0); (-8, 0)

Mathematics

Solve the problem.In a town whose population is 2000, a disease creates an epidemic. The number N of people infected t days after the disease has begun is given by the function, N(t) = . Find the number infected after 8 days.

A. 1514 B. 1515 C. 1512 D. 1510

Mathematics