A rectangle is bounded by the x-axis and the semicircle y = sqrt(49 - x2). What length and width should the rectangle have so that its area is a maximum?

If the slope of one line equals the slope of another line then ? a) the two lines are intersecting lines b) the two lines are perpendicular lines c) the two lines are parallel lines d) the two lines always have very steep slopes

Which function has the domain x> -11?

Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the curves about the given axis.y = 7ex, y = 7e^-x, x = 1; about the y-axis