Find the center of the ellipse.2x2 + 4y2 - 20x + 24y + 78 = 0

A. (-5, 3)
B. (3, -5)
C. (5, -3)
D. (-3, 5)


Answer: C

Mathematics

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Provide an appropriate response.The region shown here is to be revolved about the y-axis to generate a solid. Which of the methods (disk, washer, shell) could you use to find the volume of the solid? How many integrals would be required in each case?

What will be an ideal response?

Mathematics

Solve the logarithmic equation.log3x = 5

A. 15 B. 1000 C. 243 D. 125

Mathematics

Divide f(x) by g(x) and write in the form  = quotient + .f(x) = x4 - 4x2 + 11x - 12; g(x) = x + 3

A. x3 - x2 + 5x - 4
B. x3 - 3x2 + 5x - 4 + 
C. x3 - 3x2 + 5x - 4
D. x3 + 3x2 - 5x + 4

Mathematics

Find different polar coordinates (r, ?) for the same point for which r > 0 and 360° ? ? < 720°(3, 80°)

A. (3, 440)° B. (-3, 440)° C. (-3, 170)° D. (3, 260)°

Mathematics