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3 years ago

11

Joe Traffic gained 986 yards during football season.Ziggy Fumble lost 118 yards during the season.What was the difference in the

ir yardage gains

1 answer:

Bond [772]3 years ago

6 0

Joe is positive 986 yards

Ziggy is negative 118 yards

the total difference is 986 +118 = 1,104 yards

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Which statement about the scenario represented in the table is true? Assume time is the independent variable

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2 years ago

Is the relation below a function? If it is a function, state its domain.

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2 years ago

What is the relationship between 12 and -12

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3 years ago

Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) a

devlian [24]

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The area under the function $\int\limits^3_1 {9-x^2} \, dx \approx 7.25.$ .

Step-by-step explanation:

We want to find the Riemann Sum for $\int\limits^3_1 {9-x^2} \, dx$ with 4 sub-intervals, using right endpoints.

A Riemann Sum is a method for approximating the total area underneath a curve on a graph, otherwise known as an integral.

The Right Riemann Sum is given by:

$\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_1)+f(x_2)+f(x_3)+...+f(x_{n-1})+f(x_{n})\right)$

where $\Delta{x}=\frac{b-a}{n}$

From the information given we know that a = 1, b = 3, n = 4.

Therefore, $\Delta{x}=\frac{3-1}{4}=\frac{1}{2}$

We need to divide the interval [1, 3] into 4 sub-intervals of length $\Delta{x}=\frac{1}{2}$ :

$\left[1, \frac{3}{2}\right], \left[\frac{3}{2}, 2\right], \left[2, \frac{5}{2}\right], \left[\frac{5}{2}, 3\right]$

Now, we just evaluate the function at the right endpoints:

$f\left(x_{1}\right)=f\left(\frac{3}{2}\right)=\frac{27}{4}=6.75$

$f\left(x_{2}\right)=f\left(2\right)=5=5$

$f\left(x_{3}\right)=f\left(\frac{5}{2}\right)=\frac{11}{4}=2.75$

$f\left(x_{4}\right)=f(b)=f\left(3\right)=0=0$

Next, we use the Right Riemann Sum formula

$\int\limits^3_1 {9-x^2} \, dx \approx \frac{1}{2}(6.75+5+2.75+0)=7.25$

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3 years ago

What is the equation of the graphed line?

dolphi86 [110]

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3 years ago