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
Mashutka [201]
3 years ago
11

WILL GIVE BRAINLIEST! GIVING 10 POINTS!!!!

Mathematics
1 answer:
34kurt3 years ago
3 0
<span><span>DO use multiplication sign '*' (the STAR) symbol. For the simplifier, xy is NOT the same as x*y or yx. Simplifier thinks that xy is a separate variable. Good example: x*y-y*(x+2). Bad example: xy-y(x+2).</span>DO use '*' when multiplying a variable by an expression in parentheses: x*(x+2). Otherwise, my simplifier will think that you are trying to use a function and will become confused.Use parentheses liberally to avoid any ambiguity. (x+y)/(x-y) is NOT the same as x+y/x-y. x+y/x-y means x+(y/x)-y.</span>Operations<span>Use '*' (STAR) for multiplication. 2*3 is legal, 2x3 will be misunderstood.Use '^' (CARET) for power. 2^3 means 2 to degree of 3, or 8.Use '/' (FORWARD SLASH) for divisionOnly '(' and ')' (parentheses) are allowed for grouping terms. Curly or square brackets are used for other purposes.</span>

Operation priority: + and - have lowest priority, * and / h

Good Examplesx*y-x*(y+2) <-- '*' is used for multiplications a^b*3 <-- means (a to the degree of b) multiplied by 3 Bad examples<span>xy-yx <-- variable xy and variable yx are different variables y(x-2) <-- simplifier will think that it is function y of x-2.</span>
You might be interested in
Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x
djverab [1.8K]

I'll assume the ODE is

y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}

Solve the homogeneous ODE,

y'' - 3y' + 2y = 0

The characteristic equation

r^2 - 3r + 2 = (r - 1) (r - 2) = 0

has roots at r=1 and r=2. Then the characteristic solution is

y = C_1 e^x + C_2 e^{2x}

For nonhomogeneous ODE (1),

y'' - 3y' + 2y = e^x

consider the ansatz particular solution

y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x

Substituting this into (1) gives

a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1

For the nonhomogeneous ODE (2),

y'' - 3y' + 2y = e^{2x}

take the ansatz

y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}

Substitute (2) into the ODE to get

b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1

Lastly, for the nonhomogeneous ODE (3)

y'' - 3y' + 2y = e^{-x}

take the ansatz

y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}

and solve for c.

ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16

Then the general solution to the ODE is

\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}

6 0
1 year ago
Does this graph have any vertical asymptotes? If so, where?
tresset_1 [31]

Answer:

There are no vertical asympotes for this rational function.

Step-by-step explanation:

For rational functions, a vertical asymptote exists for every value of the independent variable such that function become undefined, that is, such that denominator is zero. Let be the following rational function:

C(p) = \frac{25000\cdot p}{100-p}, 0\le p < 100

There is a vertical asymptote for this case:

100-p = 0

p = 100

Which is out of the interval given to the rational function. Hence, we conclude that there are no vertical asympotes for this rational function.

5 0
2 years ago
What is the inverse of function f? f(x)=10/9+11
Lena [83]

Answer:

Option D is answer.

Step-by-step explanation:

Hey there!

Given;

f(x) = 10/9 X + 11

Let f(X) be "y".

y = (10/9) X + 11

Interchange "X" and "y".

x = (10/9) y + 11

or, 9x = 10y + 99

or, y = (9x-99)/10

Therefore, f'(X) = (9x-99)/10.

<u>Hope</u><u> it</u><u> helps</u><u>!</u>

6 0
3 years ago
Solve negative one equals negative two v plus two-thirds for v.
makkiz [27]
We write it out as an equation:

-1 = -2v + 2/3

Rearrange:
-1 -2/3 = -2v

Multiply by negative to equal positive
1 2/3 = 2v

Make 1 into a fraction
3/3 + 2/3 = 2v
5/3 = 2v
10/6 = 2v
5/6 = v

The answer is: v equals 5/6
3 0
2 years ago
At a cake sale, David bought 3 cakes and paid $10.50. At the same price, Lisa bought 4 cakes and 8 cookies and paid $14.80. What
Olin [163]

Price of a Cake

10.5/3= 3.5

1 Cake = $3 and 5 cents, 3.5

Price of a cookie

3.5*4=14

14 out of 14.80 was the cost of 4 cakes

Which leaves us with 0.8

8/0.8= 0.1

The Price of 1 cookie is 0.1

1 Cake: 3.5

1 Cookie: 0.1

7 0
3 years ago
Other questions:
  • Where is the absolute total frequency located in a two-way frequency table?
    11·1 answer
  • Which word phrase can be used to represent the algebraic expression 4(21+n)
    8·1 answer
  • The data represents the body mass index​ (BMI) values for 20 females. Construct a frequency distribution beginning with a lower
    7·1 answer
  • The function y= 5^x passes through the point
    14·1 answer
  • Find the perimeter of the figure
    15·1 answer
  • Jacob is playing a game where he earns 3 points for a correct answer and loses two points for an incorrect answer​
    12·1 answer
  • What is the domain of this function?
    12·1 answer
  • If y = 7 when x = 6, find y when x= -21.
    11·1 answer
  • Which conclusions are valid given that ABCD is a parallelogram? Select True or False for each statement.
    9·1 answer
  • Sarah can make 5 tables in 3 days, how many can she make in 21 days?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!