The sine, cosine, cosecant, and secant functions repeat every \(\displaystyle{2}\pi\) units, and the tangent and cotangent functions repeat every \(\displaystyle\pi\) units.

Question

asked 2021-05-19

At what point does the curve have maximum curvature? What happens to the curvature as x tends to infinity \(y=\ln x\)

asked 2021-08-17

Evaluate (if possible) the sine, cosine, and tangent at the real number.\(\displaystyle{t}=-{\frac{{\pi}}{{{4}}}}\)

asked 2021-05-14

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.

\(f(x,y)=x^3-6xy+8y^3\)

\(f(x,y)=x^3-6xy+8y^3\)

asked 2021-09-17

At what point does the curve have maximum curvature? What happens to the curvature as x tends to infinity \(\displaystyle{y}={\ln{{x}}}\)