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>
<u>3x</u>
21(x+y)
You can simplify 3 and 21 by the factors 1 and 7.
<u>x
</u>7(x+y)
Answer: 105x + -45y
Step-by-step explanation: Since there are three terms inside the parentheses in this problem, the 15 distributes through all three terms.
Before distributing however, change the -3y to plus a negative 3y.
So we have 15(2x) + 15(-3y) + 15(5x).
This simplifies to 30x + -45y + 75x.
Now combine like terms to get 105x + -45y.
Answer:
the square root of -1 is i
Step-by-step explanation:
Answer:
Step-by-step explanation:
For example divison and adding 7/6 or 7+6 = 13 But thats not the divison tho...7/6 is 1 so it will be One Hour if they work togther