The following system of equations lacks solutions when b ≠ - c
1 answer:
Answer:
These lines have the same slope and will never intersect unless the y offset is identical. This will only happen when b is equal to -c.
Step-by-step explanation:
Let's reformat these to match, starting with the first one:
And the second one:
It now shows clearly that these are both lines with same slope and differ only by the y position, depending on the values of b and c. If b is equal to negative c, then both lines are identical, otherwise they are parallel and never intersect.
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Answer:
D
Step-by-step explanation:
Please refer to the graph below.
So, we want to find the volume of the solid generated by revolving the green area about the x-axis.
We can use the disk method. The disk method is given by:
Where R(x) is the radius or height of the representative rectangle.
We are integrating from <em>x</em> = 0 to <em>x</em> = ln(π). The height of a representative rectangle is given by <em>y. </em>Therefore, the volume is:
Simplify:
Approximate. So, the volume of the generated solid is:
The solid is shown in the second figure.
(Courtesy of WolframAlpha.)
