In Exercises 5–10, find an equation for the tangent line to the curve at the given point. Then sketch the curve and tangent line together. 5. y = 4 - x2, (-1, 3)                6. y = (x - 1)2 + 1, (1, 1) 7. y = sqrt(2x), (1, 2)              8. y = 1/x2 , (-1, 1) 9. y = x3, (-2, -8)                    10. y=1/x3 , (-2, -1/8).

Q: Find the points on the curve y= (x-1)(x -4) where the tangent line is parallel to y= -4x, O (3, 10)…

A:

Q: Determine the equation of the tangent to the graph of y = [2~/x - x][1+ /x - x ] at the point (1,…

A:

Q: Illustrate the tangent line of the curve.

A: Given,

Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x? – y2),…

A:

Q: Find an equation for the tangent line to the curve y = xV 2x² - 14 at the point (3,6). O y- 6 = 14(x…

A: The equation of the tangent line to the curve is, y - 6 = 11(x - 3)  The detailed solution is as…