Give an example of a two variable function that is not continuous at (1,2) . Explain why your example works.

Answers

Answer 1

Answer:

A two-variable function is something like:

z = f(x, y).

We want this function to not be continuous at (1, 2), this means that x = 1 and y = 2.

Now, a easy way to make a function not continuous at a given point, we can have a denominator that is equal to zero at that particular point, and this is because we can not divide by zero

For example, we could have:

[tex]f(x, y) = \frac{1}{(x - 1) + (y - 2)}[/tex]

The denominator is (x - 1) + (y - 2)

When x = 1, and y = 2, this is equal to zero, then this function is not continuous in the point (1, 2).


Related Questions

Which is the x coordinate of the point on the graph ?

Answers

Answer:

-5

Step-by-step explanation:

Cuz it lines up to -5 on x-axis

X= -5
Y=- 7
You just have to follow the line

What are the roots of 2x² – 5x + 2 = 0?

Answers

The root is 10 because 2x5 is 10 so that’s ur answer

100 points pls help
State the inverse for: Square root
A. Linear
B. Quadratic
C. Square root
D. Cube
E. Cube root
pls help thx

Answers

Cube ........ good luck Black Lives Matter.

Step-by-step explanation:

is this a multi choice???

Kayla buys a video game for $19 plus a 6% tax. Michael buys a volleyball for $18 plus a 6% tax Enter the diference in the
amount Kayla and Michael paid, including tax. Round your answer to the nearest cent.

Answers

Answer:

$1.06

Step-by-step explanation:

Kayla: 19 increase 6% =

19 × (1 + 6%) = 19 × (1 + 0.06) = 20.14

Michael: 18 increase 6% =

18 × (1 + 6%) = 18 × (1 + 0.06) = 19.08

Difference: 20.14 - 19.08 = 1.06

cual es la raíz cuadrada de 8​

Answers

Answer:

2.8284

Step-by-step explanation:

Write and solve a proportion to complete the statement. 12.6 kg= ? ib

Answers

Answer:

27.78 pounds

Happy to help

Hope it's write

-2 (z + 11) = 6

Please help. You have to use distributive property.

Answers

Answer:

-14

Step-by-step explanation:

-2(z+11)=6

-2z-22=6

-2z=28

z=-14

Lori is running in a marathon, which is 26.2 miles long. So far, she has run one-tenth of the marathon. How far has Lori run

Answers

Answer:

lori has run 2.62 miles

Step-by-step explanation:

Do 26.2/10

what quadrant is 0,-3

Answers

Answer:

it would be quadrant 4.

Step-by-step explanation:

you have to go down and it would be right there

How would you find the following shapes volume?

Answers

Answer:

calculate the volume of big semi Circle and then Subtract the volume of small semi circle from big semicircular

Step-by-step explanation:

The basic formula for volume is length × width × height.

9, 14, 7, 9, 3, 12, 5,4
Find the mean and median travel times for these students.
If necessary, round your answers to the nearest tenth
Mean: _ minutes

Median: __ minutes

Answers

Answer:

mean: 65

median: 9

Step-by-step explanation:

You take all the numbers you have and add them up. Make it simple by adding smaller numbers together. Then once you have the total which is 65 you divide it by the total of numbers you have and then round because after dividing you get 8.125 and the safest way to round is to 9.

Reflect the quadrilateral ABCD over
the y-axis to create A'B'C'D'.

Answers

Answer:

B (-2,4)

C (-3,1)

D(2,1)

A (2,3

Step-by-step explanation:

when you want to reflect over the Y-axis just flip the signs on X coordinate ([X],Y) and when you want to reflect over the X-axis flip the signs on the Y coordinate (X,[Y])

A school club sold 300 shirts. 31% were sold to fifth-graders, 52% were sold to sixth graders, and the rest were sold to teachers. How many shirts were sold to each group -- fifth graders, sixth graders, and teachers? Explain or show your reasoning.

Answers

Answer:

Fifth graders= 93 shirts

Sixth graders= 156 shirts

Teachers= 51 shirts

Step-by-step explanation:

31% of 300 is 93

52% of 300 is 156

The total number of shirts sold to fifth graders and sixth graders is:

156+93= 249

The number of shirts sold to teachers is:

300-249= 51

Simplify 12/3 + 6•2.
O A.
dot
B. 20
C. 16
D.
9

Answers

12/3 is 4 and 6•2 is 12 4+12 is 16 so C
C or 16 that’s all yeah Yw

g= 7
h=5
Work out the value of 3g + 2h

Answers

Step-by-step explanation:

3*7+2*5

21+10

31

than k

3g+2h
3*7+2*5
21+10
->31

Which equation describes the graph?

Answers

The answer should be y=2|x|-1. Is that an option that is not pictured?

For* 15-16 find the number of sides if a polygon has the given measure for each interior angle,
170
15 n=a) 21 b) 24 c) 30 4) 36 )42
162
16. n = a) 16 D) 20 c)24 d) 28 ) 32
60
For #17 - 24. determine the sum of the interior angles then find the missing angle.
17. sum = a) 120 b) 140 c) 160
d) 180 e) 200
18 x= a) 40 b) 50 c)60
d) 70 e) 80
X
70
120
19 Sum = a) 300 b) 330 C) 360 d) 380 e) 410
20 X a) 50 b) 60 с) 75 d) 80 e) 85
90
90
-
-
-
-
-
-
-
-
-
1
-
1
1

Answers

Answer:

15. d) 36

16. b) 20

17. d) 180

18. b) 50

19. c) 360

20. b) 60

Step-by-step explanation:

To find the number of sides a polygon has giving an interior angle, use the equation:

(number of sides - 2)*180/(number of sides) = measure of interior angle

15. (n = number of sides)

((n-2)*180)/n = 170

180n-360 = 170n

10n = 360

n = 36 (d)

16. (n = number of sides)

((n-2)*180)/n = 162

180n-360 = 162n

18n = 360

n = 20 (b)

17. The sum of the interior angles of a triangle is always 180 (d)

18. 180-60-70 = 50 (b)

19. The sum of the interior angles of a quadrilateral is always 360 (c)

20. 360-120-90-90 = 60 (b)

Determine if the expression - 10c3 – c4 + 3c2 is a polynomial or not. If it is a
polynomial, state the type and degree of the polynomial.

Answers

Answer:

The expression is a fourth grade trinomial.

Step-by-step explanation:

Mathematically speaking, a polynomial is an equation of the form:

[tex]y = \Sigma_{i = 0}^{n} c_{i}\cdot x^{i}[/tex] (1)

Where:

[tex]y[/tex] - Dependent variable.

[tex]x[/tex] - Independent variable.

[tex]c_{i}[/tex] - i-th Coefficient of the polynomial.

[tex]n[/tex] - Grade of the polynomial

Let [tex]y[/tex] be a fourth-grade polynomial, then the expression must be in the form:

[tex]y = c_{o} + c_{1}\cdot c +c_{2}\cdot c^{2} + c_{3}\cdot c^{3} + c_{4}\cdot c^{4}[/tex] (2)

If we know that [tex]c_{o} = c_{1} = 0[/tex], [tex]c_{2} = 3[/tex], [tex]c_{3} = -10[/tex] and [tex]c_{4} = -1[/tex], then we have the following polynomial:

[tex]y = 3\cdot c^{2}-10\cdot c^{3}-c^{4}[/tex]

By Commutative Property:

[tex]y = -10\cdot c^{3}-c^{4}+3\cdot c^{2}[/tex]

We have a polynomial with three elements.

Therefore, the expression is a fourth grade trinomial.

Following are the calculation on the polynomial equation:

Given:

[tex]-10c^3 - c^4 + 3c^2[/tex]

To find:

degree of the polynomial=?

Solution:

[tex]\to -10c^3 - c^4 + 3c^2[/tex]

In the above given polynomial expression, we use the property of the polynomial expression therefore the degrees of the polynomial is "4".

Learn more about the degree of the polynomial:

brainly.com/question/20456724

A linear equation is shown on the graph. Which equation best represents the
relationship between x and y?
SOMEONE PLEASE HELP ASAP

Answers

Answer:

y=2x+1

Step-by-step explanation:

Can you figure out the number riddle for 100 Points


I am an even number.
I am less than 100.
The sum of my digits is 15.
I am a multiple of 12.
What number am​ I?

Answers

Answer:

The number of the size of the cup is determined by ____________ diameter of the cup.

Step-by-step explanation:

Answer:

I may be wrong but the answer is 96 if it is not you can delete my answer.

I'm sorry if i'm not much help.

True or False: Similar and congruent mean the same thing.

Answers

Answer:

true

Step-by-step explanation:

Answer: False

Step-by-step explanation: Similar means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.

can u pls help me with this question asap ​

Answers

Answer:

I believe that answer A would be the best choice. It makes the most sense with what the question is asking for.

Step-by-step explanation:

solve the equation for the value of x. 1/6 (18-x) = 0

Answers

Answer:

x=18

Step-by-step explanation:

-9e - 4 > 41
show u work plz

Answers

Answer:

e = -5

Step-by-step explanation:

-9e - 4 > 41

     +4    +4

-9e > 45

divide by -9 on both sides

e = -5

Hope dis helped!

can someone pls help me

Answers

The m in y=mx+b stands for the Slope of the equation

Answer:

The slope

Step-by-step explanation:

Y= y intercept

hope this helps :)

i neeeddddd helpppppppp plllllzzzz

Answers

Step-by-step explanation:

-3x + 7y = 5x + 2y (you subtract the 2y from both sides)

-3× + 5y = 5x (then add 3x to both sides)

5y = 8x (use x = - 5)

5y = 8x - 5 = -40 (both sides are divided by 5)

y = -8

answer is (-5, -8)

Nevaeh and Trishant are selling candy for a fundraiser. Nevaeh sold 13 boxes of plain chocolate bars and 14 boxed of mixed flavored chocolate bars for a total of $316. Trishant sold 4 boxes of plain chocolate bars and 14 boxed of mixed flavored chocolate bars for a total of $262. What was the cost for a box of each type of bars?

Answers

Answer:

13$

Step-by-step explanation:

PLEASE HELP ME ILL MARK U BRAINLIEST :)

Answers

Answer:

c. 23 packages

Question Progress
Homework Progress
16/32 Marics
Toby goes on holiday to Geneva, Switzerland.
In Geneva, Toby sees a watch costing 193.75 CHF (Swiss Francs).
In Manchester, an identical watch costs £145.
Given that £1 = 1.55 CHF
a) In which city is the watch cheaper?
b) By how much is it cheaper (in £)?​

Answers

193.75 divided by 1.55 = £125
So I was cheaper in Switzerland

Can somebody help me with this question. Will mark brainliest.

Answers

Answer: I think it's 29.4

Step-by-step explanation:

13.4 is the ansers baby
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