Identify the range of the function shown in the graph.
2 answers:
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Graph is attached.
Based on the graph (with height on the independent axis and weight on the dependent), there is a negative correlation between height and weight; as the height increases, the weight decreases.
If we were to graph this with weight on the independent axis and height on the dependent, there would still be a negative correlation.
Based on the graph (with height on the independent axis and weight on the dependent), there is a negative correlation between height and weight; as the height increases, the weight decreases.
If we were to graph this with weight on the independent axis and height on the dependent, there would still be a negative correlation.
Answer:
The length of Louise’s basement is <u>90 feet</u>.
Step-by-step explanation:
Given:
Louis wants to carpet the rectangular floor of his basement.
The basement has an area of 4860 square feet.
The width of the basement is 3/5 it’s length.
Now, to find the length of Louise’s basement.
Let the length of basement be
So, the width is:
Area of the basement = 4860 square feet.
Now, to get the width of basement we put formula:
<em>Multiplying both sides by 5 we get:</em>
<em>Dividing both sides by 3 we get:</em>
<em>Using square root on both sides we get:</em>
Therefore, the length of Louise’s basement is 90 feet.
You set up was almost accurate. Remember the arc length formula:
If f'(y) is continuous on the interval [a,b], then the length of the curve x = f(y), a ≤ y ≤ b should be;
L = ∫ᵇ ₐ √1 + [f'(y)]^2 * dy
We have to find the length of the curve given x = √y - 2y, and 1 ≤ y ≤ 4. You can tell your limits would be 1 to 4, and you are right on that part. But f'(y) would be rather...
f'(y) = 1/(2√y) - 2
So the integral would be:
∫⁴₁ √1 + (1/(2√y) - 2)² dy
Using a calculator we would receive the solution 5.832. Their is a definite curve, as represented below;
