Show that the function  is concave upward wherever it is defined.

What will be an ideal response?


The second derivative of g(x) is . It is positive for any value of x, hence the function is concave upward for any x.

Mathematics

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Evaluate the derivative of the given function at the given point.y3 + yx2 + x2 - 3y2 = 0; (1, 1)

A. -1
B.
C. - 
D. 2

Mathematics

P = I2 ú R. Solve for P when I = 2 mA and R = 200 ê.

What will be an ideal response?

Mathematics

Write the number in scientific notation.79.197

A. 7.9197 x 101 B. 7.9197 x 10-2 C. 7.9197 x 102 D. 7.9197 x 10-1

Mathematics

Evaluate the function at the indicated value.Find f(x + h) when f(x) = 3x2 + 5x + 2.

A. 3x2 + 3xh + 3h2 + 5x + 5h + 2 B. 3x2 + 6xh + 3h2 + 5x + 5h + 2 C. 3x2 + 3h2 + 5x + 5h + 2 D. 3x2 + 3h2 + 11x + 11h + 2

Mathematics