PLEASE ANSWER- Which sequence is graphed below?

Mathematics

1 answer:

boyakko [2]3 years ago

6 0

Answer:

pretty sure its C, good luck

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Find the average value of f over the region D. f(x, y) = 3xy, D is the triangle with vertices (0, 0), (1, 0), and (1, 9)

MakcuM [25]

The average value of f over the region D is 243/4

To answer the question, we need to know what the average value of a function is

<h3>What is the average value of a function?</h3>

The average value of a function f(x) over an interval [a,b] is given by

$\frac{1}{b - a} \int\limits^b_a {f(x)} \, dx$

Now, given that we require the average value of f(x,y) = 3xy over the region D where D is the triangle with vertices (0, 0), (1, 0), and (1, 9).

x is intergrated from x = 0 to 1 and the interval is [0,1] and y is integrated from y = 0 to y = 9

So, $\frac{1}{b - a} \int\limits^b_a {f(x,y)} \, dA = \frac{1}{1 - 0} \int\limits^1_0 \int\limits^9_0 {3xy} \, dxdy \\= \frac{3}{1} \int\limits^1_0 {x} \,dx\int\limits^9_0 {y} \,dy\\ = \frac{3}{1} [\frac{x^{2} }{2} ]^{1}_{0}[\frac{y^{2} }{2} ]^{9}_{0} \\= 3[\frac{1^{2} }{2} - \frac{0^{2}}{2} ] [\frac{9^{2} }{2} - \frac{0^{2}}{2} ] \\= 3[\frac{1}{2} - 0 ][\frac{81}{2} - 0 ]\\= \frac{81}{2} X3 X \frac{1}{2} \\= \frac{243}{4}$

So, the average value of f over the region D is 243/4

Learn more about average value of a function here:

brainly.com/question/15870615

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8 0

2 years ago

Once again I need help

luda_lava [24]

Answer:

Sorry if I'm wrong

Step-by-step explanation:

1.68

5 0

3 years ago

Read 2 more answers

What is 60488 rounded to the nearest tenth nearest ten thousand

shusha [124]

It is 60,000 since its rounded to the nearest ten thousand.
if it were 60,500 it would round up to 70,000 but since the number is lower than 500, the answer is 60,000

7 0

3 years ago

PLEASEEEE.. MY TEACHER IS ASKING FOR THE ANSWER

VARVARA [1.3K]

See attached graph: v is on the y-axis and t is on the x-axis