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2 years ago

Some steps to construct an angle MNT congruent to angle pqr

1 answer:

4 0

Maintaining the same width of the compass as AB, draw an arc from point X such that it intersects the afternoon drawn from N in a point

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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

Create a numeric vector called age whose elements contain the ages of three people you know, where the names of each element cor

erik [133]

Answer:

age<-c(20,30,40)

names(age)<-c ("ELI", "ALI", "JON")age

## ELI ALI JON

## 20 30 40

Step-by-step explanation:

The above given vector named age consists of three elements. Each element consists of ages of three people, ELI, ALI and JON, such that 20 corresponds to ELI, 30 to ALI and 40 to JON.

8 0

2 years ago

For the function<br> g(x) = 1/3x-2, find g(3a – 6)

Keith_Richards [23]

Answer:

g(3a – 6) = a - 4

Step-by-step explanation:

g(x) = 1/3x - 2

g(3a – 6) = 1/3(3a – 6) - 2

= a - 2 - 2

= a - 4

7 0

2 years ago

Read 2 more answers

Which expressions are equal to 105?

Tamiku [17]

Answer:

103 and 102

Step-by-step explanation:

u add them together

6 0

3 years ago

The amount of money Tom has is 75% of Sallys amount of money. After Sally spent $120 and Tom saved all his money Tom's amount of

egoroff_w [7]

Answer: sally initially has $240, Tom initially has $180.

Step-by-step explanation:

Let initial amount of money sally has = x

Then, initial amount tom has = 75% * x = 0.75x

Now to present,

Amount sally has = x -120

Amount tom has = [x - 120] + [50% * (x-120)]

= x - 120 + 0.5x - 180

= 1.5x - 180

Since Tom didn't spend, it means this is the same amount tom has then we equate both equations.

0.75x = 1.5x - 180

180 = 0.75x

x = 240

Therefore, initial money of sally of sally = $240

Initial money of tom = 240 * 0.75 = $180.

6 0

2 years ago