What is the x intercept of $yx=6\frac{{x}^{2}}{2}+4x$?

tamolam8
2022-09-12
Answered

What is the x intercept of $yx=6\frac{{x}^{2}}{2}+4x$?

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Find the linear approximation of the function

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Express the equations of the lines

r · (i −j) + 7 = 0,r · (i + 3j) − 5 = 0 in parametric forms and hence find the position

vector of their point of intersection.

r · (i −j) + 7 = 0,r · (i + 3j) − 5 = 0 in parametric forms and hence find the position

vector of their point of intersection.

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Let $AX=B$ be a system of linear equations, where $A$ is $m\times n$ matrix and $X$ is $n$-vector, and $B$ is $m$-vector. Assume that there is one solution $X={X}_{0}$. Show that every solution is of the form ${X}_{0}+Y$, where $Y$ is solution of the homogeneous system $AY=O$, and conversely any vector of the form ${X}_{0}+Y$ is also a solution.

To show the converse, I just have to check if ${X}_{0}+Y$ satisfies the equation which it does. How to show that the solution is of the form ${X}_{0}+Y$?

I am just guessing, $Y$ will be in null space which is perpendicular to subspace space generated by row space of $A$. So ${X}_{0}$ is just projection of solution of the system in the subspace generated by row-space of $A$. Still I am not sure how to show this.

To show the converse, I just have to check if ${X}_{0}+Y$ satisfies the equation which it does. How to show that the solution is of the form ${X}_{0}+Y$?

I am just guessing, $Y$ will be in null space which is perpendicular to subspace space generated by row space of $A$. So ${X}_{0}$ is just projection of solution of the system in the subspace generated by row-space of $A$. Still I am not sure how to show this.

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I have a representation of a linear equation in standard form (ax+by+c=0) which I am representing as a set of coefficients: a,b,c.

I want to normalize these so that any two equations that represent the same line can be compared programatically to see if they're equal just using the co-efficients. For this I need the co-efficients of any two equations representing the same line to be equivalent after normalizing.

I normalized the values by dividing all coefficients by$\sqrt{{a}^{2}+{b}^{2}+{c}^{2}}$ which scales the coefficients to be the same but I don't know how to account for sign changes in this.

For example, if I have equations: 2x+-4y+2=0 (represented as 2, -4, 2) and -2x+4y+-2=0 (represented as -2, 4, -2), how can I transform the coefficients to make them equal?

I want to normalize these so that any two equations that represent the same line can be compared programatically to see if they're equal just using the co-efficients. For this I need the co-efficients of any two equations representing the same line to be equivalent after normalizing.

I normalized the values by dividing all coefficients by

For example, if I have equations: 2x+-4y+2=0 (represented as 2, -4, 2) and -2x+4y+-2=0 (represented as -2, 4, -2), how can I transform the coefficients to make them equal?