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qwelly [4]
3 years ago
8

F r e e p o i n t s b o o ​

Mathematics
2 answers:
Alexandra [31]3 years ago
8 0

Answer:

Thanks so much and have a good day

Step-by-step explanation:

Katyanochek1 [597]3 years ago
3 0

Answer:

Thank you lol. I am so bored right now.

Step-by-step explanation:

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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
Basher collected 4 1/3 basket of peaches and Orchard if each basket holds 21
miv72 [106K]
To do this you times 3 by 4 and add it on to the numerator of the fraction, to turn it into a top heavy fraction:
3*4 = 12
1+12/3 = 13/3

Then you multiply the numerator by 21 to work out what 21 times the fraction is:
13*21/3 = 273/3

Then you can divide 273 by 3 to get the final answer:
273/3 = 91

He will have 91 peaches overall.
Hope this helps! :)
6 0
3 years ago
Solve for y in -8×+4y=24
s344n2d4d5 [400]

Factor out the common term 4

-4(2x - y) = 24

Divide both sides by -4

2x-y= - 24/4

Simplify24/4 to 6

2x -y = -6

Subtract 2x from both sides

-y = -6 - 2x

Multiply both sides by -1

y = 6 + 2x

5 0
3 years ago
Find (f + g)(x). f(x) = -3x + 2 g(x) = x3 a. x3- 3x + 2 c. x3 + 3x -2 b. -x3- 3x +2 d. x3 Please select the best answer from the
Shkiper50 [21]
(f+g)(x) = -3x +2 + x³
Answer: A
7 0
3 years ago
I forgot how to find x
GuDViN [60]
You would do 2x-3+x+3x-15=360
combine like terms which then gives you 
5x-18=360 then you would add 18 to both sides giving you
5x=378 
and then you divide by 5 on both sides which will then give you your answer x=?
6 0
3 years ago
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