Option C: The solution set is 
Explanation:
The expression is 
Now, let us find the solution set.
Switch sides, we get,
Dividing by 2 on both sides, we have,
Thus, 
Hence, the above expression becomes,
Simplifying, we get,
Applying the log rule, we get,
Simplifying, we have,
Applying the log rule, we have,
Thus, the solution set is
Hence, Option C is the correct answer.
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Plug each option into u then solve the equation and see if the answer matches -15.
Ex. -15 = 1 -4 (2)
-15 = 1 -8
-15 = -7
-15 does not equal -7 therefore it is false. Use Pemdas to solve.
The answers would be 3, 3, 4, 4, 5, 5. those are the answers. I don't know if that is what you wanted me to answer or not.
Answer:
<h3>The correct answer is <u>D: -30</u></h3>
(a) First find the intersections of
and
:
So the area of
is given by
If you're not familiar with the error function
, then you will not be able to find an exact answer. Fortunately, I see this is a question on a calculator based exam, so you can use whatever built-in function you have on your calculator to evaluate the integral. You should get something around 0.5141.
(b) Find the intersections of the line
with
.
So the area of
is given by
which is approximately 1.546.
(c) The easiest method for finding the volume of the solid of revolution is via the disk method. Each cross-section of the solid is a circle with radius perpendicular to the x-axis, determined by the vertical distance from the curve
and the line
, or
. The area of any such circle is
times the square of its radius. Since the curve intersects the axis of revolution at
and
, the volume would be given by
