Find the domain of the given function f and find where it is increasing and decreasing, and also where it is concave upward and where it is concave downward. Identify all extreme values and points of inflection. Then sketch the graph of y = f(x). f(x) = 4-x

What will be an ideal response?


Domain = (-?, ?)
Decreasing on (-?, ?)
Concave up on (-?, ?)
No extreme values or points of inflection

Mathematics

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Determine whether the given function satisfies Laplace's equation.f(x, y, z) = 9x + 9y3z2

A. Yes B. No

Mathematics

Write the equation of the circle with the given center and radius.center (-10, 1), radius 

A. (x + 1)2 + (y - 10)2 = 169 B. (x - 1)2 + (y + 10)2 = 169 C. (x + 10)2 + (y - 1)2 = 13 D. (x - 10)2 + (y + 1)2 = 13

Mathematics

Provide an appropriate response.Mark's teacher asked him to solve the following problem: "One leg of a right triangle is 7 m longer than the other. The length of the hypotenuse is 13 m. Find the lengths of the legs." Mark translated the problem into the following equation: . Why is this equation not correct and what would the correct equation be?

What will be an ideal response?

Mathematics

Subtract.-21 - 4

A. 25 B. -25 C. -17 D. 17

Mathematics