Thank you!

1. Consider the equation x2 + y = 16. 1. Graph the equation on desmos. Describe what shape/curve this is. 2. Solve the equation for y in terms of x, and take the positive square root when it comes to that step. Take the derivative of that function (y in terms of x) and use that to find the equation of the tangent line to that curve at the point where a = 1 in the first quadrant. 3. Now, go back and use implicit differentiation on x2 + y = 16 to find the derivative y' in terms of both x and y. Then use that to find the equation of that same tangent line where x=1 in the first quadrant. 4. Next, I want you to find the equation of the tangent lines at the two points on the curve where x = -2 (one point has a positive y and the other has a negative y). Use either of the two methods you used above. 5. Finally, summarize your findings. Write a couple of sentences comparing these two methods (solving the equation first, versus implicit differentiation). Was either one easier/faster to use? What did you learn from this exercise