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Name Problem 1: (25 points) a) Write the general form of the

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The document outlines a problem related to the conservation of mass in fluid dynamics, specifically focusing on the intake stroke of an engine cylinder. It requires the formulation of the conservation of mass equation, sketching a control volume, determining whether it is fixed or deformable, and deriving a symbolic expression for average air velocity through the intake port based on given parameters.

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How to convert to general form?

To convert the equation from slope-intercept form to general form, we want to rearrange it into the form Ax + By + C = 0. Start with the given equation: 5x - 4 = 2y. Rearrange the equation to get all terms on one side: 5x - 2y - 4 = 0. This is now in general form, where A = 5, B = -2, and C = -4.

What is the general form of the circle?

How to Find the Equation of a Line from Two Points Find the slope using the slope formula. Use the slope and one of the points to solve for the y-intercept (b). Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

How do you write 5x 4 2y in general form?

0:20 3:20 And a b and c these all have to be integers. And a also has to be non- negative so a could be zero.MoreAnd a b and c these all have to be integers. And a also has to be non- negative so a could be zero. But it cant be4. For example. Okay some examples of things that are general form if we have 3x.

What is the general form of the equation y 7 5x?

Start with the given equation: y+7=5x. Subtract 5x from both sides to rearrange the equation: 5x+y+7=0. Rearranging gives us the general form: 5xy7=0.

How to write general form?

The general form of the equation of a straight line is given by 𝑎 𝑥 + 𝑏 𝑦 + 𝑐 = 0 , where 𝑎 , 𝑏 , and 𝑐 are real constants. We remark that all lines can be written in the general form, while some equations of straight lines cannot be written in the pointslope or slopeintercept forms.

How is general form written?

The general form ax+by+c=0 is one of the many different forms you can write linear functions in. Other ones include the slope intercept form y=mx+b or slope-point form.

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