Answer:
4(x+4)
Step-by-step explanation:
Find to GCF of 4x+16.
Now factor out the GCF by dividing each term in the expression by 4.
4x divided by the GCF is x, and 16 divided by the GCF is 4.
The equivalent expression is 4(x+4).
The volume of a pyramid is
V=(l*w*h)/3=(35*4)/3=140/3=46.67 cubic feet , choice C
Explanation:
Let
and
. The differential volume dV of the cylindrical shells is given by
![dV = 2\pi x[f(x) - g(x)]dx](https://tex.z-dn.net/?f=dV%20%3D%202%5Cpi%20x%5Bf%28x%29%20-%20g%28x%29%5Ddx)
Integrating this expression, we get
![\displaystyle V = 2\pi\int{x[f(x) - g(x)]}dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%202%5Cpi%5Cint%7Bx%5Bf%28x%29%20-%20g%28x%29%5D%7Ddx)
To determine the limits of integration, we equate the two functions to find their solutions and thus the limits:

We can clearly see that x = 0 is one of the solutions. For the other solution/limit, let's solve for x by first taking the square of the equation above:

or

Since we are rotating the functions around the y-axis, we are going to use the x = 25 solution as one of the limits. So the expression for the volume of revolution around the y-axis is




The correct answer is D, 6x
Step-by-step explanation:
sinx=5/13
cosy=5/13
RELATIONSHIP
they are equal to one another
OR
sinx=cosy