Answer:
a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx
b) ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz
c) ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz
e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy
Step-by-step explanation:
We write the equivalent integrals for given integral,
we get:
a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx
b) ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz
c) ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz
e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy
We changed places of integration, and changed boundaries for certain integrals.
Answer:
4 units
Step-by-step explanation:
![\because \: l = \frac{ \theta}{360 \degree} \times c \\ \\ \therefore \: l = \frac{72 \degree}{360 \degree} \times 20 \\ \\ \therefore \: l = \frac{72 \degree}{18\degree} \\ \\ \therefore \: l = 4 \: units](https://tex.z-dn.net/?f=%20%5Cbecause%20%5C%3A%20l%20%3D%20%20%5Cfrac%7B%20%5Ctheta%7D%7B360%20%5Cdegree%7D%20%20%5Ctimes%20c%20%5C%5C%20%20%5C%5C%20%20%5Ctherefore%20%5C%3A%20l%20%3D%20%20%5Cfrac%7B72%20%5Cdegree%7D%7B360%20%5Cdegree%7D%20%20%5Ctimes%2020%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20l%20%3D%20%20%5Cfrac%7B72%20%5Cdegree%7D%7B18%5Cdegree%7D%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20l%20%3D%20%204%20%5C%3A%20units)
Answer: I don’t think there is such a line. A Line that passes through the point (3,-9) must have a positive slope, unlike the line y=-5x-2, which has a negative slope. If a line where to go through (3,-9), is would intersect the line you presented.
Answer:
B, $1.32
Step-by-step explanation:
100 grams is 0.1 kilograms, and 25 grams is 0.025 kilograms. The difference is 0.075 kilograms. At $17.60 per kilogram, 0.075 kilograms would cost $1.32 or answer choice B.
Answer:
x2 = 60
Step-by-step explanation:
If the variables x and y are inversely proportional, the product x * y is a constant.
So using x1 and y1 we can find the value of this constant:
![x1 * y1 = k](https://tex.z-dn.net/?f=x1%20%2A%20y1%20%3D%20k)
![12 * 15 = k](https://tex.z-dn.net/?f=12%20%2A%2015%20%3D%20k)
![k = 180](https://tex.z-dn.net/?f=k%20%3D%20180)
Now, we can use the same constant to find x2:
![x2 * y2 = k](https://tex.z-dn.net/?f=x2%20%2A%20y2%20%3D%20k)
![x2 * 3 = 180](https://tex.z-dn.net/?f=x2%20%2A%203%20%3D%20180)
![x2 = 180 / 3 = 60](https://tex.z-dn.net/?f=x2%20%3D%20180%20%2F%203%20%3D%2060)
So the value of x2 is 60.