2 years ago

17. Find the ratio of the perimeter to the area of the square shown. x + 3 x + 3

Mathematics

1 answer:

Serga [27]2 years ago

7 0

Answer:

4x+12/x^2+9

Step-by-step explanation:

Perimeter

x+3+x+3+x+3+x+3

Area

(x+3)(x+3)

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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.

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3 years ago

Prime factors for 144

matrenka [14]

Answer:

2×2×2×2×3×3 = 144

hope that helps uhh!!

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2 years ago

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HELP PLS ASAP! i uploaded a picture of the question. ;-;

stepladder [879]

Answer:

Quarter 2

Explanation:

Quarter 1 had a 4.19505% increase in earnings, but quarter 2 had a 11.586% increase.

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3 years ago

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dimulka [17.4K]

Answer: Hahahhahahaha

Explanation:

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3 years ago

Circle O is shown below. the diagram is not drawn to scale. 73°

zepelin [54]

Answer:
53.5

Explanation:
Since triangle AOB is an isosceles triangle (AO = OB), the base angles of the triangle are 53.5. (180-73 = 107, 107/2 = 53.5)

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3 years ago

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