How do you find the area bounded by the x axis, y axis and x+y=4?
Calculus
y = x+4
so we have to find the intersection. They "y axis" means that x = 0, so that is the lower bound of the integral. To find the upper bound, we have to find where y=x+4 crosses the x axis. That occurs when x = 4.
That should be the answer I think.
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To find the area bounded by the xaxis, yaxis, and the line (x+y=4), you need to first identify the vertices of the triangle formed by these boundaries. Then, you can use geometry to calculate the area of this triangle.
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To find the area bounded by the xaxis, yaxis, and the line (x + y = 4), you would follow these steps:

Determine the points where the line intersects the axes by setting each axis to zero:
 When (x = 0), (y = 4)
 When (y = 0), (x = 4)

Plot these points on the coordinate plane.

Draw the line (x + y = 4) on the coordinate plane, connecting the points where it intersects the axes.

The area bounded by the xaxis, yaxis, and the line (x + y = 4) forms a triangle.

Calculate the area of this triangle using the formula for the area of a triangle: (A = \frac{1}{2} \times \text{base} \times \text{height}).
In this case, you can take either the xaxis or the yaxis as the base, and the other axis as the height.

Substitute the values into the formula and calculate the area.
So, you find the area bounded by the xaxis, yaxis, and the line (x + y = 4) by calculating the area of the triangle formed by these elements.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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