4. What are the intersection point(s) of all ellipses of the form 22/16 + y2/b2 =...
22 + y2 with (1 point) The region W lies between the spheres x2 + y2 + z2 = 1 and 22 + y2 + x2 = 4 and within the cone z = z > 0; its boundary is the closed surface, S, oriented outward. Find the flux of F=ri+y +z3k Out of S. flux =
URGENT TRUE/FALSE
1 T F The intersection of 2 = 12 + y and rº + y² + 2 = 18 is a circle of radius 9. 2. T F = 2x + y is an equation of the tangent plane for f(z,y) = ry at the point where I = 1 and y=1. 3. T F Assume that (1,1) is a critical point for the function f(x,y) = 1 + y - 4ry+3. Then (1,1) is a local maximum...
14. (a) Determine all possible critical point(s) of f(, y) = x2 + xy + y2 - 3.c - 6y. (b) without using the Second Order Partial Derivatives Test (SOPDT), de- termine the nature of the obtained C.P(s). (c) Check your answer in (b) through the (SOPDT). 15. Find a point on the hyperboloid 2z = x2 - y², where the tangent plane is parallel to the plane x - 3y - 2 = 1.
Give a recursive formula s(n) for the sequence of squares [1,4,9, 16, 25,...] of the form s(n 1) as(n) + bs(n - 1) +cs(n-2), where a,b and c are real numbers. You do not need to prove that your formula is correct.
Evaluate SI + y2 - zdS where S is the part of the cone 22 = x2 + y2 that lies between the planes z = 1 and 2 = 4. Preview
s is the surface X2 16 (y2+22) TE 0,4] obtained by rotating the function c : 4 y about the x-axis for x є 04 Given the vector field: E-(12yz-22)(22z+3y)j+(3z-22y)k, Calculate the outward flux of E through surface S. That is find 3 z JEdS Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 JSkipped
s is the surface X2 16...
(1 point) Find the point of intersection of the two linesh : x = 〈10, 18, 3〉 + t 〈4-k-2) and 12 : X = 〈 18, 19, 20) + t 〈 Intersection point: 4, 0-5) (1 point) The plane π is defined by the vector-parametric equation π : x(s, 1-(1,-8,6) + s 〈-1,-4,-3〉 + 1 〈3,-4,0). Find an equation for π in general form Plane equation
(1 point) Find the point of intersection of the two linesh : x...
question #6
1. Sketch the following surfaces: (a) z-+y2/9 (b) a2 =y2 +22 (c) 2/4+(y-1)2+(z+1)/9 1 (d) r2+y-22+1 0 (e) -y2+-1 0. 2. Find an equation for the surface consisting of all points that are- point (1,-3, 5) and the plane r = 3. 3. Sketch the curve F(t)<t cos(t), t sin (t), t > 4. Find a vector equation that represents the curve of the intersec r2y =9 and the plane y + z = 2. 5. Find a...
What is the Jacobian of the of the function F(x,y) = -48 22 - 39 y2 – 34 y 39.22 + 56 y2 – 34 3 You may enter your Jacobian in the form, [[a,b].[c, d]] Question 2: (1 point) Find the Jacobian of F(x, y, z) = -55 y2 +62 22 – 74.3 + tan (8 x 2) In (7x + 2) – 55 y2 +62 m2 - 74.2 e(2xy) +(372) Enter your answer as a matrix.
Let S be the set/vector space of all real numbers of the form a sart(2)+ b'pi, where a, b are any real numbers, where we add these numbers the usual way, and multiply by real number scalars the usual way. Find, another, simpler way, of describing this vector space