3 years ago

Pls help ASAP!!!!! plss anyone!!!!

Mathematics

1 answer:

vfiekz [6]3 years ago

5 0

Answer:

a = 117°

c = 117°

d = 63°

c = 87°

a = 60°

b = 30°

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What is 2(3a+2b-7) equivalent too?

zloy xaker [14]

Answer:

6a+4b-14

Step-by-step explanation:

For this, we have to use the distributive property.

This means we multiply each value in the parentheses by 2.

2*3a=6a

2*2b=4b

2*(-7)=-14

So our equation is:

6a+4b-14

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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