A surveyor must find the distance from a point A on one side of a lake to a point B on the opposite side of the lake. The surveyor locates a point C on a third shore of the lake that is 860ft from A and 175ft from B. If the angle at C is measured to be 78°. Then find the distance across the lake from point A to B.

Suppose that x and y are both differentiable functions of t and are related by the given equation. use implicit differentiation with respect to t to determine startfraction dy over dt endfraction in terms of x, y, and startfraction dx over dt endfraction .

Which of the following expressions is equal to 2x^2+8

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters