Please help me to solve ht problem.
Given the curve x = -t^(2) + 4, y = t^(3) - 9t + 4, find the exact values:
a) of the coordinates of the rightmost point on the curve. (Use Calculus and show your work).
b) of the parameter t where the graph crosses itself. Show your work and do not use the graphing capability of your calculator.
c) of the parameter t where the slope of tangent line to the curve is 1/5. (Use Calculus and show your work).
Given the curve x = -t^(2) + 4, y = t^(3) - 9t + 4, find the exact values:
a) of the coordinates of the rightmost point on the curve. (Use Calculus and show your work).
b) of the parameter t where the graph crosses itself. Show your work and do not use the graphing capability of your calculator.
c) of the parameter t where the slope of tangent line to the curve is 1/5. (Use Calculus and show your work).