Carrolyn

) Determine whether the following two planes x + 4y − z = 7 and 5x − 3y −7z = 11 are parallel, orthogonal, coincident (that is, the same) or none of these.

Show that the four points (2,0,1), (−1,2,3), (3,2,2) and (3,−6,−3) lie in a plane.

Find the derivative of the following function: (x^2)^sinx.

Find all roots of the equation z^5 = i, i.e. find the five values of i^1/5 and show them on an Argand diagram.

Evaluate the following integrals using the given substitutions. (a) (3x^2 + 10x)dx/(x^3 + 5x^2 + 18 , substitution u = x3 + 5x2 + 18; (b)(14x + 4)cos(7x^2 + 4x)dx,substitution u = 7x^2 + 4x.

Please help I am stuck evaluate the following intergral x cos 15x dx.