Degree of EquationsA) Which variables in the formula V = π r 2 h would you need to set as a constant in order to generate:1. a linear equation?2. a quadratic equation?B) How should r and h be related to generate a cubic function?

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Degree of EquationsA) Which variables in the formula   V  =  π      r    2    h would you need to set as a constant in order to generate:1. a linear equation?2. a quadratic equation?B) How should r and h be related to generate a cubic function?

Gael Irwin · Accepted Answer

Step 1In first part,A.1) To obtain a linear equation the degree of polynomial should be equal to 1. Hence in your equation   V  =  π      r    2    h if we consider h as a variable and r as a constant then we can obtain a polynomial which is having degree 1 (as r in the given equation will be a constant hence       r    2   will not make any difference at all) resulting your equation to be linear.Hence answer is r should be a constant2) Similarly to obtain a quadratic polynomial (i.e. degree of polynomial is 2) will have to make h a constant so that r can be a variable with power 2. Hence the polynomial will be quadratic.Hence answer is h should be constant.Step 2For your second partB.You will need any kind of linear relation between h and r. For example   h  =  θ  r where   θ is a fixed constant. From this you can rewrite your equation from  V  =  π      r    2    hto  V  =  π      r    2    (  θ  r  )  V  =  π  θ      r    3  And this is how you&#039;ll obtain a cubic equation.

Degree of Equations. A) Which variables in the formula V=pi r^2 h would you need to set as a constant in order to generate: 1. a linear equation? 2. a quadratic equation? B) How should r and h be related to generate a cubic function?

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