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Margaret [11]
3 years ago
13

What shape best describes the cross section cut at an angle to the base of a right rectangular prism? I already tried rectangle

and it was wrong, so just ignore that choice.
A. Parallelogram
B. Trapezoid
C.Rectangle (Ignore this choice)
D.Square

Mathematics
2 answers:
Sindrei [870]3 years ago
8 0

Answer:

I think its a rectangle

torisob [31]3 years ago
7 0

Answer:

I think it would be a rectangle.

~Real

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Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)
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Answer:

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Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

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z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\

Now the partial derivatives of f are

f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}

\\\\=\frac{1}{9-8}

= 1

Now

f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}

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So, the tangent equation is

z - 0 = 1\times (x - 9) -8\times (y - 1)

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

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Therefore

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