Consider the function z = 4x²+4y²-4 z = f(x, y). Find equations for the xy-trace, xz-trace, and yz-trace for the graph of Find equations for the level curves f(x, y) = c for c= -3, 0, 1, 4. Then sketch and luoel these curves in the xy-plane (on the same set of axes).

Find the value of y between the points (2, y) and (5, − 1) with slope − 3.

8) Find the slope of the graph of y = V2x2 + 1 at the point (2, 3).

The x y-coordinate plane is given. The curve with two parts enters the window in the second quadrant just above the x-axis, goes up and right getting more steep, passes through the point (−7, 7), exits the window in the second quadrant nearly vertically to the left of the y-axis, reenters in the first quadrant nearly vertically to the right of the y-axis, goes down and right getting less steep, crosses the x-axis at x = 7, and exits the window in the fourth quadrant nearly horizontally above y = −7. (a) lim  x→−7  f(x)   (b) lim  x→0+  f(x)   (c) lim  x→0−  f(x)   (d) lim  x→0  f(x)   (e) f(0)   (f) lim  x→+∞  f(x)

The line y = 6x – 12 is tangent to the graph of at the point help (points) Y - 24 x + 2