F(x)=x+c, where c is an arbitrary constant.
if c is positive then translation above
if c is negative then translation down
reflection of f(x)=x^2 across x-axis then
f(x)=-x^2
Answer:
The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2
0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2
V = ∫∫∫ dzdydx
dz has changed from zero to 12−3y^2
dy has changed from zero to 2-x
dx has changed from zero to 2
V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =
24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
When given a fractional power, you want to try to see if the base has any power that can be used to simplify the power.
Since a^b/c =
![\sqrt[b]{ {a}^{c} }](https://tex.z-dn.net/?f=%20%5Csqrt%5Bb%5D%7B%20%7Ba%7D%5E%7Bc%7D%20%7D%20)
8^1/3=
![\sqrt[3]{ {8}^{1} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%7B8%7D%5E%7B1%7D%20%7D%20)
8 times by it self it 8
cube root of 8 is three numbers that are the same and times by each other to give 8
2×2×2=8
》2
Answer:
5.83 units
Step-by-step explanation:
See attached picture. You can use the Pythagorean Theorem. I added some lines to show the legs of a right triangle. AB is the hypotenuse.
