(Solved): Give an example of a homogeneous system of three equations in x, y, z that has infinitely many sol ...

Give an example of a homogeneous system of three equations in x, y, z that has infinitely many solutions with only one parameter (that is, the solution set is a line). X y || Let f(x) = x³ 3x² - 9x+25. – Use the derivative f'(x) = 3 x² ? 6 x ? 9 to determine the following values for f on the interval [0, 4]. • The absolute maximum on this interval is at (x, y (x, y) ) • The absolute minimum on this interval is at (x, y (x,y) = (? = An isosceles triangle with a base of length b and height of h has a rectangle inscribed. If the base of the isosceles triangle is centred on the origin, and the upper right corner of the rectangle is at (x, y), find an expression for the area of the rectangle, A(x), in terms of x, h, and b only. You may find the diagram helpful in solving the problem. You can drag the green dot to see how it affects the area. (x, y) h A(x) = bl X