Find an orthogonal basis for the column space of the matrix. (-1 6 6 3 -8 3 1 -2 6 1 -4 -3)

To find the extreme values of a function f(x.y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x,y)=xy

What is the number 321,000,000 in scientific notation? also what is the number? ?

Which equation results from adding the equations in this system? x+6y=9 and -x+2y=-15