Please solve 1-5 and show work clearly

Each question 20 points 1. Find the equation of the line tangent to the circle , at (use implicitly differentiation) (1-1, 7) 2. Verify that the function satisfy the conditions of the Mean Value Theorem. Use the graph on the right to interpreter your work. 3. Find the of , and show that there is a point belonging to the interval formed by the two intercepts where 4. Find the exact position of maximum, minimum and point of inflexion if exist. Graph the function 5. Find the exact position of maximum, minimum and point of inflexion if exist. Graph the function