Determine the point on the parabola where the slope ofthe tangent is 5. Illustrate your answer with a sketch

The points at which the tangent passes through the origin for the curve y=4x3−2x5 are

Graph the line with slope 2 passing through the point 5, 5.

(a) Find the slope m of the tangent to the curve y = 5/x at the point a where x = a > 0.m = (b) Find equations of the tangent lines at the points (1, 5) and 4, 52.y(x) =  (at the point (1, 5))y(x) = at the point 4, 52(c) Graph the curve and both tangents on a common screen.

Find the function whose tangent has slope 𝑥 3 − 2 𝑥 2 + 16 for each of x and whose graph passes through the point (2,5).

Find the equation of thea.       Hyperbola with center (1, 1), vertex (1, 5), conjugate axis 6.b.      Circle with center on the line y = x, tangent to the line y = 5 and has radius 2.