answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mademuasel [1]
2 years ago
6

Find the given limit lim(x,y)→(a,a)x4−y4x2−y2=lim(x,y)→(a,a) (x^4−y^4)/(x2−y2)= here aa is a constant. (find the limit assuming

x≠y)
Mathematics
1 answer:
Aliun [14]2 years ago
7 0
If x\neq y, then we can write

\dfrac{x^4-y^4}{x^2-y^2}=\dfrac{(x^2-y^2)(x^2+y^2)}{x^2-y^2}=x^2+y^2

and since this is continuous for all x\neq y, the limit as (x,y)\to(a,a) will be

\displaystyle\lim_{(x,y)\to(a,a)}\frac{x^4-y^4}{x^2-y^2}=\lim_{(x,y)\to(a,a)}(x^2+y^2)=2a^2
You might be interested in
Pepper jackie purchased 3.5 pounds of jelly beans for $1.19 per pound. How much did she spend on jelly beans, to the nearest cen
Lena [83]

Answer: 4.17

$1.19 *3.5 = 4.165

Step-by-step explanation:

first multiply the two numbers. then round to the nearest cent. since there is a 5 behind the 6 you round up 7. it there would of been a 4 or less behind the 6 you would round down to 6.

Answer: 4.17

5 0
2 years ago
Solve 16(3x-5) -10(4x-8) = 40
Mashcka [7]

Answer:

x = 5

Step-by-step explanation:

<u>Step 1: Multiply out the brackets</u>

48x - 80 - 40x + 80 = 40 → <em>negative + negative = positive [-10 x -8]</em>

<u>Step 2: Simplify</u>                          

8x = 40 →<em> collect like terms</em>

<u>Step 3: Solve</u>

x = \frac{40}{8}

x = 5

3 0
2 years ago
Read 2 more answers
Which of the following statements about 42xy – 49x + 30y – 35 are true? Check all of the boxes that apply. One of the factors is
kipiarov [429]

Answer:

One of the factors is (7x + 5).

One of the factors is (6y – 7).

Step-by-step explanation:

3 0
2 years ago
A square rotated about its center by 360º maps onto itself at(1,2,3,4) different angles of rotation. You can reflect a square on
Sladkaya [172]

A square rotated about its center by 360º maps onto itself at 90°, 180°, 270° and 360° - 4 different angles of rotation.

You can reflect a square onto itself across two diagonals and two segments that connects the middlepoints of opposite sides - 4 different lines of reflection.

7 0
2 years ago
Lauren owns a sign company. She borrows $75 000 to purchase a laser engraver. The
Vlad1618 [11]

Answer:

$1,313.3 per month

Step-by-step explanation:

A=p(1+r/n)^nt

P=principal=$75,000

r=interest rate=7.2%=0.072

t=20 years

n=12 months

A=p(1+r/n)^nt

=75,000(1+0.072/12)^12*20

=75,000(1+0.006)^240

=75,000(1.006)^240

=75,000(4.2026)

=315,195

A=$315,195

The term of Lauren's loan=20 years

20 years×12 months=240 months

Lauren's pay per month =$315,195/240

=$1,313.3125

Approximately $1,313.3 per month

4 0
2 years ago
Other questions:
  • During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea
    14·2 answers
  • a crane cable can support a maximum load of 15,000 kg. if a bucket has a mass of 2,000 kg and gravel has a mass of 1,500 kg for
    14·2 answers
  • In the figure, the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD is . The area of polygon ABCDE is s
    7·2 answers
  • 1. Given a segment with endpoints A and B, what figure can you construct using the steps below?
    14·1 answer
  • If fg = 2 units, fi = 7 units, and hi = 1 unit , what is gh
    8·1 answer
  • The graph of which function has a minimum located at (4, –3)?
    6·2 answers
  • A plane can fly 540 miles with the wind in one hour less than it can fly 480 miles against the wind. The average wind speed is 3
    10·1 answer
  • A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trou
    10·1 answer
  • Drag the charts that accurately represent Martin's expenses to the correct location on the table. Not all chart will be used. Ma
    7·1 answer
  • A ball is thrown straight up from the height of 3 ft with a speed of 32 ft/s. It’s height above the ground after x seconds is gi
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!