Answer:
C
Step-by-step explanation:
An approximation of an integral is given by:

First, find Δx. Our a = 2 and b = 8:

The left endpoint is modeled with:

And the right endpoint is modeled with:

Since we are using a Left Riemann Sum, we will use the first equation.
Our function is:

Therefore:

By substitution:

Putting it all together:

Thus, our answer is C.
*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.
<h2>
Answer:</h2>
Luke does a work of 308Nm
<h2>
Step-by-step explanation:</h2>
If we have a constant force
that acts on a body in the same direction as the displacement
, then the work
is defined as the product of the force magnitude
and the displacement magnitude
. In other words:
, which is valid for a constant force in direction of straight-line displacement.
In this problem:

Therefore:

Grid lines to the right represent positive numbers for the first coordinate. 3 of them will put you on a grid line with a value of 3×0.5 = 1.5.
You now know enough to select the correct answer, ...
... (1.5, -2.5)
_____
You can confirm this is the correct answer by figuring the second coordinate. Down represents negative numbers, so down 5 units is -(5×0.5) = -2.5. This matches the second coordinate of the chosen answer.
The correct answer is (-4, -3)
The expression 4x^2represents 4.x.x