Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Can I have a detailed explanation for the part (a) part of the following question?

 

Thank you very much!

2. (a) Find the equations of the tangent planes to the conicoid 7x² + 5y? + 3z2 = 60, which pass through the line 7x + 10y – 30 = 0, 5y – 3z = 0. (b) Find the equations of the tangent planes to the conicoid 2x2 – 6y? + 322 pass through the line r+ 9y – 3z = 0, 3x – 3y + 6z – 5 = 0. 5, which (c) Find the equations of the tangent planes to the conicoid 4 + y? 222 = 1, which are perpendicular to the line = 3 - -4"
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Transcribed Image Text:2. (a) Find the equations of the tangent planes to the conicoid 7x² + 5y? + 3z2 = 60, which pass through the line 7x + 10y – 30 = 0, 5y – 3z = 0. (b) Find the equations of the tangent planes to the conicoid 2x2 – 6y? + 322 pass through the line r+ 9y – 3z = 0, 3x – 3y + 6z – 5 = 0. 5, which (c) Find the equations of the tangent planes to the conicoid 4 + y? 222 = 1, which are perpendicular to the line = 3 - -4"
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