1. (a) Does the limit lim(,y)→(1,1) yx² -y exist? x-1 (b) If the gradient of a function f(x, y) at the point (-1, –1) is given by Vf(-1, –1) = (2,3), then in what direction away from the point (-1,...

Need help with part (e). Thank you :)

Extracted text: 1. (a) Does the limit lim(,y)→(1,1) yx² -y exist? x-1 (b) If the gradient of a function f(x, y) at the point (-1, –1) is given by Vf(-1, –1) = (2,3), then in what direction away from the point (-1, –1) does the function start to decrease fastest and what is the magnitude of the rate of change? %3D (c) If the set Dc R² is bounded and f(x, y) is continous on D, does f(x, y) have to acheive a maximum on D? (d) Let P = xy2, Q = x2y and C denote one petal of the four leaved rose defined byr= -1<><. compute="" the="" line="" integral="" fe="" p="" dx="" +q="" dy.="" cos(20),="" (e)="" if="" s="" c="" r³="" is="" the="" unit="" sphere="" and="" f="Sls" curl="" f="" nds.="" (e"y,="" sin(z2="" +="" y),="" xyz),="" then="" evaluate="" the="">