Math Help

Archive for April, 2010

Question: Help algebra/math polynomials by degree 10 points!!!?

Classify the polynomial by degree and by number of terms

14
2x+3
-3x^2+6x-2
x^3-5
1-x^4

Answer: 14
Degree zero
1 term
monomial

2x+3
degree 1
2terms
binomial

-3x^2+6x-2
degree 2
3 terms
trinomial

x^3-5
degree 3
2 terms
binomial

1-x^4
degree 4
2 terms
binomial

all binomial,monomial and trionomial are polynomials

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Question: show dy/dx = 1 + 2x + y^2 + 2xy^2 is a separable equation?

This is a differential equations math question. thanks if you can help.

Answer: The right side factors
1 + 2x + y^2 + 2xy^2
= (1 + 2x) + (y^2 + 2xy^2)
= (1 + 2x) + y^2 (1 + 2x)
= (1 + 2x)(1 + y^2).

Thus, the DE may be rewritten
dy/dx = (1 + 2x)(1 + y^2)

Note: The algebra below has been fixed.
————-
This may be separated as follows:
dy/(1 + y^2) = (1 + 2x) dx

(For completeness, this has general solution
arctan y = x + x^2 + C, or y = tan(x^2 + x + C).)

I hope this helps!

Math: Differential Equations Introduction

Question: Help With Math percentage problem?

What percent of 68 is 17?

I am just blanking on how to set that up. How do you set it up in PROPORTION form???

Answer: (17/68) *100

= 25%

There’s two ways to look at it:

1) x% of 68 = 17

thus x = 17 * 100 / 68 = 25

2) think about what fraction 17 is of 68.

17/68 = 0.25, which is 25%.

I hope that helps.

Decimal to Percent – YourTeacher.com – Math Help