1answer.
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
KATRIN_1 [288]
3 years ago
7

Find H.C.F. and L.C.M. of x3-y3, x2-y2 and (x-y) ?​

Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

1) x³-y³ = (x-y)(x²-xy+y²)

2)x²-y² =(x-y)(x+y)

3)x-y = (x-y)

hcf = (x-y)

lcm = (x-y)(x²-xy+y²)(x+y)= (x³-y³)(x+y)

Step-by-step explanation:

You might be interested in
You can rent a paddleboat at Lake Isabel. The cost is $15 for the first hour - then $9 for each hour after that. Use this inform
murzikaleks [220]
You can rent a paddleboat at Lake Isabel. The cost is $15 for the first hour - then $9 for each hour after that. Use this information to complete the following: Write an equation in slope intercept form that represents the cost (y) of the rental based on the number of hours (x) you rent it. b) What is the y intercept of your equation? c) What does this mean in the context of the situation? d) What is the slope of your equation? e) What does this number mean in the context of the situation? f) Graph the line that is represented by your equation. Make sure to clearly label the axis. g) How much will it cost to rent the paddleboat for 4 hours? Show how you found your answer algebraically. Also show and explain where this information can be found on your graph.
5 0
3 years ago
Need help with question 1 and 2 PLEASEEEE
aksik [14]

Answer:

P, M, N and C are coplanar, because they are on the same plane.

Noncollinear, because they are not on the same line.

Hope this helps :)

7 0
3 years ago
Find the mass of the lamina that occupies the region D = {(x, y) : 0 ≤ x ≤ 1, 0 ≤ y ≤ 1} with the density function ρ(x, y) = xye
Alona [7]

Answer:

The mass of the lamina is 1

Step-by-step explanation:

Let \rho(x,y) be a continuous density function of a lamina in the plane region D,then the mass of the lamina is given by:

m=\int\limits \int\limits_D \rho(x,y) \, dA.

From the question, the given density function is \rho (x,y)=xye^{x+y}.

Again, the lamina occupies a rectangular region: D={(x, y) : 0 ≤ x ≤ 1, 0 ≤ y ≤ 1}.

The mass of the lamina can be found by evaluating the double integral:

I=\int\limits^1_0\int\limits^1_0xye^{x+y}dydx.

Since D is a rectangular region, we can apply Fubini's Theorem to get:

I=\int\limits^1_0(\int\limits^1_0xye^{x+y}dy)dx.

Let the inner integral be: I_0=\int\limits^1_0xye^{x+y}dy, then

I=\int\limits^1_0(I_0)dx.

The inner integral is evaluated using integration by parts.

Let u=xy, the partial derivative of u wrt y is

\implies du=xdy

and

dv=\int\limits e^{x+y} dy, integrating wrt y, we obtain

v=\int\limits e^{x+y}

Recall the integration by parts formula:\int\limits udv=uv- \int\limits vdu

This implies that:

\int\limits xye^{x+y}dy=xye^{x+y}-\int\limits e^{x+y}\cdot xdy

\int\limits xye^{x+y}dy=xye^{x+y}-xe^{x+y}

I_0=\int\limits^1_0 xye^{x+y}dy

We substitute the limits of integration and evaluate to get:

I_0=xe^x

This implies that:

I=\int\limits^1_0(xe^x)dx.

Or

I=\int\limits^1_0xe^xdx.

We again apply integration by parts formula to get:

\int\limits xe^xdx=e^x(x-1).

I=\int\limits^1_0xe^xdx=e^1(1-1)-e^0(0-1).

I=\int\limits^1_0xe^xdx=0-1(0-1).

I=\int\limits^1_0xe^xdx=0-1(-1)=1.

No unit is given, therefore the mass of the lamina is 1.

3 0
3 years ago
What is the quotient of 3,968 ÷ 32​
Arisa [49]

Answer:

124

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Order the rational numbers from least to greatest
sladkih [1.3K]

Answer:

-45/7

-7/7

-4/7

0/7

6/7

9/7

5 0
3 years ago
Read 2 more answers
Other questions:
  • What are two ratios that are equivalent to 3/5?
    12·1 answer
  • What is the rate of y=3(1,03)x
    8·1 answer
  • Factor completely: 16x2 − 81
    10·1 answer
  • The city zoo had an equal number of visitors on Sat. And Sun. In all they had 32,096 people visited the zoo that weekend
    8·1 answer
  • How many Jamaican dollars are equivalent to US$85, if US$1 = JA$72.50
    15·1 answer
  • Look at question....
    12·1 answer
  • Help me pleaseeee???
    11·1 answer
  • Is 17/8 and 1/2 a proportional
    9·2 answers
  • -3x° (2x7 - 4x + 1) multiply through polynomial
    15·1 answer
  • 1.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!