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marishachu [46]
4 years ago
6

5. The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average va

lue of the function with a Right Hand Sum Approximation, using the intervals between those given points. (4 points)
x 10 12 15 19 20
f(x) -2 -5 -9 -12 -16


A -9.250
B -10.100
C-7.550
D-6.700
Mathematics
2 answers:
LuckyWell [14K]4 years ago
8 0
The average value of f(x) over the given interval is

\dfrac1{20-10}\displaystyle\int_{10}^{20}f(x)\,\mathrm dx

You're given five points, but only four will contribute to the sum as there are four subintervals that you can work with. Because you are finding the right-endpoint approximation, the height of the rectangles used in the Riemann sum will be determined by the points x\in\{12,15,19,20\}, where the height of each rectangle is the corresponding value of f(x) and the width is the length of the subinterval. In this case, the lengths would be (left to right and respectively) \Delta x\in\{2,3,4,1\}, which is simply the set of forward differences of the previous set.

So the average value is approximated by

\dfrac1{20-10}\displaystyle\sum_{x\in\{12,15,19,20\}}f(x)\Delta x=\frac1{10}\left(2f(12)+3f(15)+4f(19)+f(20)\right)=-\dfrac{101}{10}=-10.1
gayaneshka [121]4 years ago
8 0

Answer:

-10.100

Step-by-step explanation:

I just took this and the answer calculated above is correct

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Hi pls answer correctly thank you :)
vlada-n [284]

Answer: The answer is C.

Step-by-step explanation: This is because reflecting a point from Quadrant 1 over the y-axis always gets you a result from Quadrant 2.

4 0
2 years ago
Read 2 more answers
Which number(s) from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, if any, will solve this equation?
8090 [49]
Hello!

You solve this algebraically

2x + 3 = 5x - 3

Subtract 2x from both sides

3 = 3x - 3

Add 3 to both sides

6 = 3x

Divide both sides by 3

2 = x

The answer is A) 2

Hope this helps!
8 0
4 years ago
The functions f(x) and g(x) are described below: f(x) = 7x + 9 g(x) = 7x − 4 The graph of g(x) is obtained by shifting down the
Lelu [443]

The graph of each function is a sloping straight line, and

they both have the same slope (they're parallel).

In order to make the graph of  f(x)  coincide with (lie on top of) the

graph of  g(x),  you have to slide the graph of  f(x)  down  13 units.

You can look at their y-intercepts:  The intercept of  f(x) is  +9 ,

and the intercept of  g(x)  is  -4 .  So they cross the y-axis at

two points that are  13 units apart.  Since the lines are parallel,

they're  13 units apart everywhere. And the graph of g(x) is always the lower one.

6 0
4 years ago
Read 2 more answers
Perpendicular bisector: put the following steps in order using what you know about constructing a perpendicular bisector.
Minchanka [31]

In order to draw a perpendicular bisector you must have ruler , compass and a pencil.

Given nothing and we have to show the steps to draw a perpendicular bisector.

Perpendicular bisector is the line which divides the line into two equal parts and makes 90° angle on other line.

If we want to make a perpendicular bisector on a line then we have to follow the following steps:

1) First draw a line with the help of ruler on which we want to make perpendicular bisector.

2) Now take a compass and a pencil.

3) Put the pencil in the compass and strech the compass equal to half or little more of the length of the line.

4) Now put the compass on one end of the line and draw an arc on the line or may be just upward.

5) Now repeat the step 4 from other end.

6) Now draw a line from the point where two arcs intersects on the line.

7) It is the perpendicular bisector of the line.

Hence to draw a perpendicular bisector we require compass, ruler and a pencil.

Learn more about perpendicular bisector at brainly.com/question/11006922

#SPJ4

3 0
3 years ago
Determine which type of symmetry the figure to the left has. 50 POINTS, TWO QUESTIONS.
Arlecino [84]

Answer:

Think its Point and Rotational

Step-by-step explanation:

thenks and mark me brainliest :)

8 0
3 years ago
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