Answer:

Step-by-step explanation:
We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

On the interval [-1, 1] using five equal rectangles.
Find the width of each rectangle:

List the <em>x-</em>coordinates starting with -1 and ending with 1 with increments of 2/5:
-1, -3/5, -1/5, 1/5, 3/5, 1.
Since we are find the right-hand approximation, we use the five coordinates on the right.
Evaluate the function for each value. This is shown in the table below.
Each area of each rectangle is its area (the <em>y-</em>value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function <em>f(x)</em> over the interval [-1, 1] using five equal rectangles is:

Answer:
The first option (5.7km)
Step-by-step explanation:
Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...
(Based on the Pathagoras Theorem)



d ≈ 5.7km
There for aproximate distance across the lake is equal to 5.7km
<span>In Geometry, a translation is a function where an object is moved a certain distance. This means that the location of the line is changed, but it is not changed in any other way. This means, that if the line was originally 5 units, it will still be 5 units long.</span>