x,y,z), by Sph = {(x, y, z): (x − xo)²+(y - Yo)² + (z - zo)² = a²}, - where a, xo, yo and zo are constants, (0, 0) = (xo + a sin cos , yo + a sin sin , zo + acos #), giving the ranges of ne parameters and p. or the surface Sph, defined in part (a), show that a vector surface element is given y ds a sin 0 [r - (xo, Yo, zo)] dedo, and justify the sign convention associated with this normal vector. Hence evaluate the flux = f = sph f the vector field G = (1, 0, z²) out of the surface. G.dS

do 2 b)d)j)

1) The function, y =sin(5x-3t), represents a traveling wave with height y, position x andtime t.b) When t = 0, where is maximum x in the interval [0,2π]?c) When t = 1, where is the maximum in the interval [0,2π]?d) What is the speed and direction of this wave?

Use fundamental theorem of calculus