Find the coordinates of the point (x, y, z) on the plane z = 4 x...

Find the coordinates of the point (x, y, z) on the plane z = 4 x + 1 y + 4 which is closest to the origin.

Solutions

Expert Solution

Please feel free to ask any query in the comment box and don't forget to rate if you like.

Colby Messinger answered 1 year ago

Next > < Previous

Related Solutions

find the point lying on the intersection of the plane, x + (1/4)y + (1/3)z =...

find the point lying on the intersection of the plane, x + (1/4)y + (1/3)z = 0 and the sphere x 2 + y 2 + z 2 = 25 with the largest z-coordinate. (x,y,z)=(_)

(a). The Cartesian coordinates (x, y) = (−4, 4) of a point are given. Find polar...

(a). The Cartesian coordinates (x, y) = (−4, 4) of a point are given. Find polar coordinates (r, θ) of the point so that r > 0 and 0 ≤ θ ≤ 2π. (b). The polar coordinates (r, θ) = (−3, 5π/6) of a point are given. Find the Cartesian coordinates (x, y) of this point.

The coordinates of a point P in the x-y plane are (2;3) meters. q1 = 10...

The coordinates of a point P in the x-y plane are (2;3) meters. q1 = 10 C load (1;0) , q2 = 20 C load (-1;0) is placed in the metre position. The electric flied formed by these charges at the P point, find your size and direction.

*(1)(a) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z):...

*(1)(a) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z): z=c}. (b) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z): x=a}. (c) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z): y=b}. *(2) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z): z=kx+b} assuming both b and k are positive. (a) For what value of...

Find the tangent plane to Z= xsin(x+y) at (1,1,0)

Find an equation of the tangent plane to the graph of f(x, y)=sin(x3y2) at point (4,...

Find an equation of the tangent plane to the graph of f(x, y)=sin(x3y2) at point (4, 2).

The following charges exist (given coordinates are (x, y) coordinates in the plane of the page):

The following charges exist (given coordinates are (x, y) coordinates in the plane of the page): • a −3.0 µC point charge located at (0, 0) • a −2.0 µC uniform spherical shell of charge of radius 3.0 cm centered at (+4.0 cm, 0) • a +2.0 µC uniform spherical shell of charge of radius 2.0 cm centered at (0, −4.0 cm) • a +4.0 µC uniform spherical shell of charge of radius 4.0 cm centered at (−1.0 cm,...

a. consider the plane with equation -x+y-z=2, and let p be the point (3,2,1)in R^3. find...

a. consider the plane with equation -x+y-z=2, and let p be the point (3,2,1)in R^3. find the distance from P to the plane. b. let P be the plane with normal vector n (1,-3,2) which passes through the point(1,1,1). find the point in the plane which is closest to (2,2,3)

6) a). Find the equation of the plane through the origin and perpendicular to x+y+z =...

6) a). Find the equation of the plane through the origin and perpendicular to x+y+z = 5 and 2x+y−2z = 7 b). Let A = (−1,3,0), B = (3,2,4) and C = (1,−1,5). ( I ) Find an equation for the plane that passes through these three points. ( II ) Find the area of the triangle determined by these three points.

Find the equation of the tangent plane to the surface x + y^2 + z^3 +...

Find the equation of the tangent plane to the surface x + y^2 + z^3 + sin(x − yz) = 7 at the point (2, 2, 1).

Subjects