Answer:
So then the integral converges and the area below the curve and the x axis would be 5.
Step-by-step explanation:
In order to calculate the area between the function and the x axis we need to solve the following integral:
For this case we can use the following substitution and we have
And if we solve the integral we got:
And we can rewrite the expression again in terms of x and we got:
And we can solve this using the fundamental theorem of calculus like this:
So then the integral converges and the area below the curve and the x axis would be 5.
Decided by 12 is 2 your welcome
Answer:
C. In step 2, Cindy should have multiplied both sides of the equation by 2.
Step-by-step explanation:
I'll go through the equation correctly, and then point out what would have happened.
3 = x/2 - 5
Add 5 to both sides. -5 and 5 cancel out.
8 = x/2
What Cindy should have done here is multiply by 2, not divide by 2. It is important to remember that you do the INVERSE operation to cancel out a number.
What would have happened here is that we have an extra step (though either way we still end up with x being 16.)
Correct Step 2:
Multiply both sides by 2. x/2 and 2x cancel out.
x = 16
Incorrect Step 2:
8/2 = (x/2)/2
4 = x/4
Multiply both sides by 4 (this would be the extra step!).
16 = x
F(x) = 4.8x
Have to calculate the apothem of the octagon.
That is the altitude of one of the triangles whose base is x and vertex angle is 22.5 degrees. Divide 360 degrees /8 = 45 degrees, then divide by 2 for the altitude angle.
Using the apothem "a" formula for the area,
Area = a^2 P/2 where P is the perimeter which is 8x
Tan 22.5 = (x/2)/a. a = 1.2
Answer:
x=-4/V
Step-by-step explanation:
Add 4 to both sides to cancel out the 4.
So it now the equation is Vx+9=5
Subtract 9 from both sides to cancel out the 9.
Now the equation is Vx=-4
Divide V to both sides to get x alone.
The answer being x=-4/V