To obtain the equation for an elliptical region, we divide the boundary curve equation by 36, which gives us:
<span>[9x^2 + 4y^2 = 36] / 36
(x^2)/4 + (y^2)/9 = 1
Since the given cross-sections are isosceles right triangles, the hypotenuse is found on the base. Using trigonometric functions, the hypotenuse is found to be 6 * sqrt(1 - (x^2)/4). The cross-sectional area is then found to be 9 (1 - (x^2)/4).
With the cross-section, we integrate it with limits of -2 to 2 in terms of x to find the volume. This is shown below:
</span><span>
∫ </span>9 (1 - (x^2)/4<span>) dx (-2,2) = 24
Therefore, the volume is 24 units^3.</span>
When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
Answer:
4 1/2
Step-by-step explanation:
do 9 times .5
Answer:
6
Step-by-step explanation: