Choose the graph which matches the function. (5 points) (x) = 2^x+3
1 answer:
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We can see if the first two options are correct. The first one is eliminated because when x is 2, y is 5 and there is not a different of 5, only 3. This could make you think that the second option is the right answer, but when x is 1, y is 6 and the difference is 5, not 3.
The third choice we could try out.
6=-(1)+7
5=-(2)+7
4=-(3)+7
3=-(4)+7
Let's look at the graph also. The coordinates are on the line.
So the third option, y=-x+7
The third choice we could try out.
6=-(1)+7
5=-(2)+7
4=-(3)+7
3=-(4)+7
Let's look at the graph also. The coordinates are on the line.
So the third option, y=-x+7
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:
The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:
Substitute:
Simplify:
Integrate:
Evaluate:
The volume of the solid is π/40 cubic units.
