Describe in words the surface whose equation is given the plane perpendicular to the xy-plane passing...
Let S be the surface of the cone whose base is a disk of radius 2 in the plane z = 4 and whose vertex is at the origin (S includes the base of the cone, so that it is a closed, piecewise smooth surface), oriented outward. Let F(x, y, z) = (2x – cos(yz), 2y +exz®, sin(xy) – 42). Compute the surface integral ds. To recieve full credit, you must justify your work; in particular, if you are using...
Find the equation of the line passing through the point (1,2,4) and perpendicular to the plane x−y + z = 3
o1 points 1 Previous Answors LarPCalc8 10.2.012. 1. Describe in words how a plane could intersect with the double-napped cone shown to form the conic section. (Select all that apply.) Hyperbola e The plane intersects both the top and bottom of a double-napped cone. The plane is perpendicular to the axis of the cone. e The plane intersects only the top or bottom half of a double-napped cone. The plane is parallel to the axis of the cone. The plane...
#48
#46
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In Exercises 39-48, find a parametrization of the curve. 39. The vertical line passing through the point (3,2,0) 40. The line passing through (1,0,4) and (4.1.2) 41. The line through the origin whose projection on the xy-plane is a line of slope 3 and whose projection on the yz-plane is a line of slope 5 (ie, Az/Ay = 5) 42. The circle of radius 1 with center (2, -1, 4) in a plane parallel to the...
Find the equation of the line passing through the point (1,2,3), and perpendicular to the plane x + y + z = 6.
Im having problems
understanding whats happening and why.
27. An xz-cylinder in 3-space is a surface given by an equation f(x,z) -0 in x and z alone; its section by any plane y -c perpendicular to the y-axis is always the same xz- curve. Show that if F - z2i + xy2j + xz k, then ^ F dr for any simple closed curve C lying on an xz-cylinder. (Use Stokes' theorem)
27. An xz-cylinder in 3-space is a surface...
Exercise 3. Find and identify the trace of the given quadric surface in the specified plane of coordinates. f) x2 + 2y – 2z2 – 2 = 0, xz-plane. g) x = y2 + 4, xy-plane. a) A + B + * = 1, xy-plane. b) x2 + 4y2 – 4z2 – 16 = 0, xz-plane. c) -4x2 - y2 + z2 = 1, yz-plane. d) x2 + – z2 = 0, yz-plane. e) x2 + x2 – 4y+4= 0,...
11.1.37 Describe the given set with a single equation or with a pair of equations. The plane through the point (9.4.-6) parallel to a. the xy-plane b. the yz-plane c. the xz-plane a. Choose the correct equation of a plane parallel to the xy-plane. O A. y = 4 OB. z= -6 O c. x=9
let
f(x,y)=sqrt(49-x^2-y^2)
(A) describe the cross sections of the surface Z=f(x,y)
produced by cutting it with the planes y=1, y=3, and y=5.
(B) describe the cross sections of the surface in the planes
x=1, x=3, and x=5.
(C) describe the surface z=f(x,y).
Let f(x,y) = 49 - x? -y?. (A) Describe the cross sections of the surface z=f(xy) produced by cutting it with the planes y = 1, y = 3, and y-5, (B) Describe the cross sections of the...
Passing through (2,3) and perpendicular to the line whose equation is -9x + y - 2 = 0; 3) slope-intercept form