Answer:
The error is at step (3) .
The correct step (3) will be,

=
[by using the laws of indices]
All other steps are correct.
Step-by-step explanation:
The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by assuming the property does hold before proving it. So, the proof is fallacious.
The correct step (3) will be,

=
[by using the laws of indices]
All other steps are correct.
Let us try and solve it analytically. We have that the side=x+3 together with the short side=s and the diagonal=x+4 satisfy the Pythagorean Theorem. Then we have that

. This yields

which yields s^2=2x+7, hence a) is the correct answer.
ANSWER
4 ft
EXPLANATION
The velocity equation of the oscillating spring is given by the function.

To find the displacement function, we need to to Integrate the velocity function.


At time t=0, there was no displacement.
This implies that,




The displacement function then becomes,

To find the displacement over the first π seconds, we put

into the equation for the displacement to get,



Fat 6 of he eat sandwich and chocken
Answer:
A function means that we get one input and one output. In this example that means for every x-value that we have, we only have one y-value.
Looking at the first option, we can see that there is no x-value that has more than one y-value which means that it is a function.
The rest of the options are seen with at least two values for one x-value in one of the points. Therefore, they wouldn't be considered a function leaving us with only option A as the solution.