The points at which the tangent passes through the origin for the curve y=4x3−2x5 are(0,0),(2,1) and (−1,−2)(0,0),(2,1) and (−2,−1)(2,0),(2,1) and (−3,1)(0,0),(1,2) and (−1,−2)

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).

Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in your final answer.

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

(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.

The point (x, -2/5) lies on the graph of y = 4 - 2x/5. The value of x ischoices:-113