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andre [41]
3 years ago
6

Solve the differential equation x^3y"'− 3x^2 y" 6xy'−6y = 0.

Mathematics
1 answer:
Anna [14]3 years ago
3 0
<span>Equation at the end of step  1  :</span><span> (((x3)•y)-(((3x2•y6)•x)•y))-6y = 0 </span><span>Step  2  :</span><span>Step  3  :</span>Pulling out like terms :

<span> 3.1 </span>    Pull out like factors :

  <span> -3x3y7 + x3y - 6y</span>  =  <span> -y • (3x3y6 - x3 + 6)</span> 

Trying to factor a multi variable polynomial :

<span> 3.2 </span>   Factoring   <span> 3x3y6 - x3 + 6</span> 

Try to factor this multi-variable trinomial using trial and error<span> 

 </span>Factorization fails

<span>Equation at the end of step  3  :</span><span> -y • (3x3y6 - x3 + 6) = 0 </span><span>Step  4  :</span>Theory - Roots of a product :

<span> 4.1 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

 </span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    -y = 0<span> 

 </span>Multiply both sides of the equation by (-1) :  y = 0 

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Yes it is I took the test
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3 years ago
A vendor sells ice cream from a cart on the boardwalk. He offers vanilla, chocolate, strawberry, blueberry, and pistachio ice cr
Agata [3.3K]

Answer:

The different single-scoop ice-cream cones can you buy from this vendor=12

Step-by-step explanation:

Given that a  vendor sells ice cream from a cart on the boardwalk. He offers vanilla, chocolate, strawberry, blueberry, and pistachio ice cream, served on either a waffle, sugar, or plain cone.

Different types of icecreams are 4

Types of cones are 3

For each ice cream say we can have either waffle, sugar or plain cone.

i.e. for each type of ice cream, we have 3 different cones.

Hence for 4 types of ice creams we have 3*4=12 different single scoop ice creamcones.

7 0
3 years ago
Exclain why 0.32 with a line above it is greater than 0.32
ella [17]
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In either case, 0.32 will be the smaller of the two numbers simply because it terminates with two digits after the decimal point, while the others keep going, basically adding a small positive number to 0.32.
6 0
4 years ago
I can't figure out the second answer please help!!!
Mekhanik [1.2K]

Choice A is one of the answers. Nice work. This is because x+x+x turns into 3x.

Choice D is the other answer because 2(x+1) + x = 2x+2+x = 3x+2. You can find this through trial and error. Or you could graph y = x+x+x+2 and y = 2(x+1)+2 to find that they are the same exact identical diagonal line. A non-graph approach would be to set up a table of values to see that the two tables are identical.

3 0
3 years ago
Read 2 more answers
What are the domain and range of the function below?
jekas [21]

Answer:

Domain: all real numbers

Range: all real numbers greater than or equal to -2

Step-by-step explanation:

The domain is the set of x-coordinates.

It is the set of real numbers since x can be any real number.

The range is the set of y-coordinates.

The minimum value for y is -2. y can be -2 or any real number greater than -2.

Answer:

Domain: all real numbers

Range: all real numbers greater than or equal to -2

6 0
3 years ago
Read 2 more answers
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