Find the value of c such that the line y = C = x + 3 is tangent to the curve y = c√x.

The equation of line p is 2x+3y =12. The line cuts the x-axis at point A and the y-axis at point B. (a) A point C lies on the line p such that it is equidistant from the coordinate axes. Show that the coordinates of point C' is (2.4, 2.4).

Find the value for a which maximizes the area of the rectangle. The rectangle has one side om the x-axis and two vertices on the curve y=27-x2.

Write a formula for the distance between a point (x, y) on the graph of y = x4 and the point (3, 11). Express your answer in terms of x. D(x) =