Suppose f(x, y, z) and g(x, y, z) are continuously differentiable functions with f(1, 2, 3) = 5 and g(1, 2, 3) = 7. assume that the surface f(x, y, z) = 5 and the surface g(x, y, z) = 7 have the same tangent plane at (1, 2, 3). evaluate ∇f(1, 2, 3)×∇g(1, 2, 3) (remember to give reasons).

true

step-by-step explanation:

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.