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find any stationary points for the function h(x)=x*e^x(4-x)/6 (exponential function with e to power x *(brackets)

using basic trigonometry derive the following equations, which are used to convert cartesian to polar coordinates and vice versa. why is the cos(phi)in the x term? x = R cos (phi) sin (lamda) y = R sin (phi) they are used in orthogonal projection of a sph...

A string with mass per unit length 0.0065 kg/m is used to suspend a 30 kg mass over a pulley. A transverse wave with wavelength 40 cm and amplitude 2.5 mm moves along the string. Determine the maximum speed of a particle on the string.