783 divided by 18 equal 43.5
<u>Answer</u>:
![f^{-1}(x) = \sqrt[5]{\frac{x+7}{9} -10}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7Bx%2B7%7D%7B9%7D%20-10%7D)
<u>Explanation</u>:
given : f(x) = 9(
+ 10 ) - 7
replace x and y with each other.
- x = 9(
+ 10 ) - 7
solve for y
- x + 7 = 9(
+ 10 )
-
=
- 10
- y =
![\sqrt[5]{\frac{x+7}{9} -10}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%5Cfrac%7Bx%2B7%7D%7B9%7D%20-10%7D)
Therefore,
Answer:
A) When using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. True.
The Shell method is a technique used to find the volume of a solid of revolution. Here, we take thin shells with axis coinciding with the axis about which the region whose volume is to be found, is revolved.
B) If a region is revolved about the y-axis, then the shell method must be used. False.
This method can be used with any axis of rotation.
C) If a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y. True.
The washer method uses thin disks with infinite width but the shell method uses thin concentric shells with infinite width about the axis of revolution. So, the statement is true.
Answer:
y = 13 over 20x - 4
Step-by-step explanation:
Just use changing y over changing x
Answer:
12∠x∠16
Step-by-step explanation:
For the triangle to be acute,a²+b²+c²,
Where c is the largest side of the triangle.
Hence, we must say x²+(x+4)²≥20²,
or after simplifying, x²+4x-192≥0 or (x+16)(x-12)≥0
Since x must have positive values only, x≥12
Therefore, for the triangle to be acute,we must have 12≤x≤16.