(a) Find the slope m of the tangent to the curve y = 5

x at the point where x = a > 0. m =

Incorrect: Your answer is incorrect. (b) Find equations of the tangent line at the point (1, 5). y =

Incorrect: Your answer is incorrect. Find equations of the tangent line at the point

4, 5 2

. y =

Incorrect: Your answer is incorrect. (c) Graph the curve and both tangents on a common screen.

There is a curve and 2 lines on the x y-coordinate plane. The curve starts at the origin, goes up and right becoming less steep, and exits the window in the first quadrant. The first line enters the window in the third quadrant, goes up and right, crosses the x-axis at x = −1, crosses the y-axis at y = 5/2, passes through the point (1, 5) touching the curve and exits the window in the first quadrant. The second line enters the window in the third quadrant above the first line, goes up and right, crosses the x-axis at x = −4, crosses the y-axis at y = 5, passes through the point (2, 15/2) crossing the first line, passes through the point (4, 10) touching the curve, and exits the window in the first quadrant.

There is a curve and 2 lines on the x y-coordinate plane. The curve enters the window in the first quadrant near the y-axis, goes down and right becoming less steep, and exits the window in the first quadrant near the x-axis. The first line enters the window in the second quadrant, goes down and right, crosses the y-axis at y = 15/2, passes through the point (1, 5) touching the curve, crosses the x-axis at x = 3, and exits the window in the fourth quadrant. The second line enters the window in the second quadrant below the first line, goes down and right, crosses the y-axis at y = 15/4, passes near the point (1.7, 3.2) crossing the first line, passes through the point (4, 5/2) touching the curve, and exits the window in the first quadrant.

There is a curve and 2 lines on the x y-coordinate plane. The curve enters the window in the fourth quadrant near the y-axis, goes up and right becoming less steep, and exits the window in the fourth quadrant near the x-axis. The first line enters the window in the third quadrant, goes up and right, crosses the y-axis at y = −15/2, passes through the point (1, −5) touching the curve, crosses the x-axis at x = 3, and exits the window in the first quadrant. The second line enters the window in the third quadrant above the first line, goes up and right, crosses the y-axis at y = −15/4, passes near the point (1.7, −3.2) crossing the first line, passes through the point (4, −5/2) touching the curve, and exits the window in the fourth quadrant.