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Find a degree 
Magazine Problem 66
Determine the slope of the tangent line, then find the equation of the tangent line at the given value of the parameter. $$ x=3 \sin t, \quad y=3 \cos t, \quad t=\frac{\pi}{4} $$
Problem 67
Determine the slope of the tangent line, then find the equation of the tangent line at the given value of the parameter. $$ x=\cos t, \quad y=8 \sin t, t=\frac{\pi}{2} $$
Problem 68
Determine the slope of the tangent line, then find the equation of the tangent line at the given value of the parameter. $$ x=2 t, \quad y=t^{3}, \quad t=-1 $$
Problem 69
Determine the slope of the tangent line, then find the equation of the tangent line at the given value of the parameter. $$ x=t+\frac{1}{t}, \quad y=t-\frac{1}{t}, \quad t=1 $$
Problem 70
Determine the slope of the tangent line, then find the equation of the tangent line at the given value of the parameter. $$ x=\sqrt{t}, \quad y=2 t, \quad t=4 $$
Problem 71
Find all points on the curve that have the given slope. $$ x=4 \cos t, \quad y=4 \sin t, \text { slope }=0.5 $$
Problem 72
Find all points on the curve that have the given slope. $$ x=2 \cos t, \quad y=8 \sin t, \text { slope }=-1 $$
Problem 73
Find all points on the curve that have the given slope. $$ x=t+\frac{1}{t}, \quad y=t-\frac{1}{t}, \text { slope }=1 $$
Problem 74
Find all points on the curve that have the given slope. $$ x=2+\sqrt{t}, \quad y=2-4 t, \text { slope }=0 $$
Problem 75
Write the equation of the tangent line in Cartesian coordinates for the given parameter \(t\). $$ x=e^{\sqrt{t}}, \quad y=1-\ln t^{2}, \quad t=1 $$
