1. Evaluate analytically lim x - (17 /2) 2x - 7 sinx COsx 2 . Evaluate analytically 2x lim x-do 1 + x Refer to the graph of the function as shown below for the questions 3-4 10 H 3. Find limx-2 f ( x ) 8 6 4. Find limx-1 f(x) - f(1 ) x-1 A w 2 -5 -4 -3 -2 -1 1 2 3f Refer to the graph of the function as shown below for the questions 5-6 f 30 y 20 5. Findf'(2) 10 6.F'(3) , if F(x) = Mod: 2 7. Find an equation of the tangent line to the graph of 2 (3x + e) Jx2+1 at (0,2), y:1n 8. Find an equation of the tangent line to the graph of xzey +ylnx : 1 at (1,0) 9. Find the intervals on which the function x) : x2'3(6 x)U3 increases Ol' decreases. 10. Find the intervals on which the function y : tan1(x2) is concave up or is concave down and write the exact coordinates of the points of inflection. 11. Find the radius and the height of the right circular cylinder of the largest volume that can be inscribed in a right circular cone with radius 6 inches and height 10 inches. 1 foot uCradius)2(altitude) Volume of a cylinder