(a) Evaluate the following limit. lim(x,y)→(2,2)y2-4xy-2x{“v…
(a) Evaluate the following limit. lim(x,y)→(2,2)y2-4xy-2x{“version”:”1.1″,”math”:”lim(x,y)→(2,2)y2-4xy-2x”}. (b) Use the Two-Path Test to prove that the following limit does not exist. lim(x,y)→(0,0)y3+x3xy2{“version”:”1.1″,”math”:”lim(x,y)→(0,0)y3+x3xy2″}. (You do not need to type your answers in the space below. However, you must upload a file of your handwritten work in the final question.
Read DetailsConsider the following function f(x,y)=x2+xy2-2x+1{“version”…
Consider the following function f(x,y)=x2+xy2-2x+1{“version”:”1.1″,”math”:”f(x,y)=x2+xy2-2x+1″}. (a) Find the critical points. (b) Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, a local minimum, or a saddle point. (You do not need to type your answers in the space below. However, you must upload a file of your handwritten work in the final question.
Read DetailsConsider the trajectory of moving object defined by r⇀(t)={“…
Consider the trajectory of moving object defined by r⇀(t)={“version”:”1.1″,”math”:”r⇀(t)=<20 cos(t), 20 sin(t), 30t>”}. (a) Find the unit tangent vector T⇀{“version”:”1.1″,”math”:”T⇀”} and the principal unit normal vector N⇀{“version”:”1.1″,”math”:”N⇀”}. (b) Find the tangential and normal components of the acceleration. (You do not need to type your answers in the space below. However, you must upload a file of your handwritten work in the final question.)
Read Details