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3 years ago

6

What is the sum of the interior angles of a 16-sided polygon

1 answer:

Lynna [10]3 years ago

8 0

The answer is 2520 degrees

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Define f(0,0) in a way that extends f to be continuous at the origin. f(x, y) = ln ( 19x^2 - x^2y^2 + 19 y^2/ x^2 + y^2) Let f (

kirill115 [55]

Answer:

f(0,0)=ln19

Step-by-step explanation:

$f(x,y)=ln(\frac{19x^2-x^2y^2+19y^2}{x^2+y^2})$ is given as continuous function, so there exist $lim_{(x,y)\rightarrow(0,0)}f(x,y)$ and it is equal to f(0,0).

Put x=rcosA annd y=rsinA

$f(r,A)=ln(\frac{19r^2cos^2A-r^2cos^2A*r^2sin^2A+19r^2sin^2A}{r^cos^2A+r^2sin^2A})=ln(\frac{19r^2(cos^2A+sin^2A)-r^4cos^2Asin^a}{r^2(cos^2A+sin^2A)})$

we know that $cos^2A+sin^2A=1$ , so we have that

$f(r,A))=ln(\frac{19r^2-r^4cos^2Asin^a}{r^2})=ln(19-r^2cos^2Asin^2A)$

$lim_{(x,y)\rightarrow(0,0)}f(x,y)=lim_{r\rightarrow0}f(r,A)=ln19$

So f(0,0)=ln19.

8 0

3 years ago

Use the given equation to determine if the points in the brackets are on the graph

dmitriy555 [2]

The points in the brackets are on the graph are (0, 2) and (6, 10)

<h3>How to determine if the points in the brackets are on the graph?</h3>

The equation of the line is given as

4x - 3y = -6

The points are given as:

{(0,2),(1,3),(4,7),(6,10)}

Rewrite as

(x, y) = {(0,2),(1,3),(4,7),(6,10)}

Next, we substitute the x and y values in the equation 4x - 3y = -6

So, we have

(0, 2):

4(0) - 3(2) = -6

-6 = -6 ---- true

(1, 3):

4(1) - 3(3) = -6

-5 = -6 ---- false

(4, 7):

4(4) - 3(7) = -6

-5 = -6 ---- false

(6, 10):

4(6) - 3(10) = -6

-6 = -6 ---- true

Hence, the points in the brackets are on the graph are (0, 2) and (6, 10)

Read more about linear equations at:

brainly.com/question/2226590

#SPJ1

3 0

1 year ago

Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, wher

Sliva [168]

The value of $f(g(x))$ is $6x^{3} +4$

Explanation:

The function $f(x)$ is given by

$f(x)=2x^{2} +4$

The function $g(x)$ is given by

$g(x)=\sqrt{3x^{3} }$

To determine the value of $f(g(x))$ , let us first substitute the value of $g(x)$ .

Thus, we get,

$f(g(x))=f(\sqrt{3x^{3} } )$

Now, substituting for $x=\sqrt{3x^{3} }$ in the function $f(x)$ , we get,

$f(g(x))=2(\sqrt{3x^{3} } )^2+4$

Simplifying, the expression, we get,

$f(g(x))=2({3x^{3} } )+4$

Multiplying the term within the bracket, we have,

$f(g(x))=6x^{3} +4$

Thus, the value of $f(g(x))$ is $6x^{3} +4$

Hence, the value of $f(g(x))$ represents the total amount of money that Barrett earns for working x hours.

4 0

2 years ago

Point e is located at -5,2 point m is the reflection of point e what is the distance between e and m

nataly862011 [7]

Answer:

the distance is 10

Step-by-step explanation:

-5,2 to 0,0 is 5

and the refection of -5,2 is 5,2

5,2 to 0,0. is also 5

5+5=10

4 0

3 years ago

Evaluate the function.

RSB [31]

It would be d
because -5•-2=10
and 10+3=13

4 0

2 years ago

Read 2 more answers