Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = 3x2 - 3y2
A. Domain: all points in the xy-plane; range: all real numbers; level curves: ellipses
B. Domain: all points in the xy-plane; range: real numbers z ? 0; level curves: ellipses
C. Domain: all points in the xy-plane; range: all real numbers; level curves: hyperbolas
D. Domain: all points in the first quadrant of the xy-plane; range: all real numbers; level curves: hyperbolas
Answer: C
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Factor completely. If the polynomial is prime, then state this as your answer.x2 + 79x + 80
A. (x + 80)(x + 1) B. (x + 10)(x + 8) C. (x + 80)(x - 1) D. prime
State the domain of the given function.y =
A. All real numbers x > - 7 B. 7 C. All real numbers except 7 D. All real numbers
Find the requested number.Two-thirds of a number is -8. What is the number?
A. -24 B. 24 C. -12 D. 12
Solve the system of equations using substitution.
A. x = 0, y = 10; x = 0, y = 26 or (0, 10), (0, 26) B. x = -5, y = 0 or (-5, 0) C. x = -4, y = 2; x = 4, y = 18 or (-4, 2), (4, 18) D. x = -4, y = 2 or (-4, 2)