b. write down the coordinates of point A.

c. find the coordinates of the midpoint, M, of the diagonal [AO] of the cuboid.

permaneceerc
2021-05-27
Answered

For the cuboid below:
a. write down the coordinates of point B.

b. write down the coordinates of point A.

c. find the coordinates of the midpoint, M, of the diagonal [AO] of the cuboid.

b. write down the coordinates of point A.

c. find the coordinates of the midpoint, M, of the diagonal [AO] of the cuboid.

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Bentley Leach

Answered 2021-05-28
Author has **109** answers

a.In 3D, the point is in the form (x,y,z). Using the given graph, B has x=6, y=7, and z=0 so its coordinates are:

(6,7,0)

b.In 3D, the point is in the form (x,y,z). Using the given graph, A has x=6, y=7, and z=4 so its coordinates are:

(6,7,4)

c.The midpoint formula for two points (x1,y1,z1) and (x2,y2,z2) is given by:

$(\frac{x1+x2}{1},\frac{y1+y2}{2},\frac{z1+z2}{2})$

Since A(6,7,4) and O(0,0,0), the midpoint M is at:$\frac{6+0}{2},\frac{7+0}{2},\frac{4+0}{2})=(3,3.5,2)$

(6,7,0)

b.In 3D, the point is in the form (x,y,z). Using the given graph, A has x=6, y=7, and z=4 so its coordinates are:

(6,7,4)

c.The midpoint formula for two points (x1,y1,z1) and (x2,y2,z2) is given by:

Since A(6,7,4) and O(0,0,0), the midpoint M is at:

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My attempt: Arranging it in standard linear equation form $\frac{dy}{dx}+Py=Q$, we get

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Hence, the integrating factor(I.F.) = ${e}^{\int -xdx}={e}^{-{x}^{2}/2}$. Hence, the solution is

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