The exercises will be on file please

5. [-/0.12 Points] DETAILS SCALCET8 10.2.013. 0/100 Submissions Used find dy/dx and day/dx2. x = e', dx day For which values of t is the curve concave upward? (Enter your answer using interval notation.) Need Help? Read It 6. [-/0.12 Points] DETAILS SCALCET8 10.2.017. 0/100 Submissions Used Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to check your work. (Enter your answers as a comma-separated list of ordered pairs.) x = ts - 3t, y = $2 - 6 horizontal tangent (x, y) = vertical tangent ( x, y ) = Need Help? Read It Watch It 7. [-/0.12 Points] DETAILS SCALCET8 10.2.029. 0/100 Submissions Used At what point on the curve x = 3t2 + 8, y = t3 - 6 does the tangent line have slope ?? (x, y ) = ( Need Help? Read It 8. [-/0.12 Points] DETAILS SCALCET8 10.2.AE.003. 0/100 Submissions Used EXAMPLE 3 Find the area under one arch of the cycloid x = r(0 - sin(0)) y = r(1 - cos(0)) 2 mr SOLUTION One arch of the cycloid is given by 0 S 8 S 27. Using the Substitution Rule with y = (1 - cos(0)) and dx = r(1 - cos(0)) do, we have Video Example () A = J vax = f. " ( ) do = 7 / (1 - cos ( 8 ) ) 2 18 = 7 / (1 - 2 005 (8 ) + cos ( 8 ) ) de = 7/ [1 - 2 cos(0) + (1 + cos (20)| de