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Alexeev081 [22]
3 years ago
5

Find an equation of the tangent line to the curve xey + yex = 5

Mathematics
1 answer:
Harman [31]3 years ago
8 0
I got:

<span>y′=(−y<span>e^−x</span>−e^y)/xe^y+e^x</span>
then plugged in x and y and got slope of (-5-e^5)
and ended with equation of y=(-5-e^5)x+5

I'm not sure with my solution though i hope this might help you.

I hope my answer has come to your help. Have a nice day ahead and may God bless you always!
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Students in Mr. Rivas’ class were practicing their multiplication skills by rolling three 6-sided number cubes. Chris rolled a 2
guajiro [1.7K]

Sorry wrote down the wrong thing the first time. Try doing 2 plus 3 times 5.

3 0
3 years ago
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Simplify this expression.<br> 3^-3
Sphinxa [80]

Answer:

1/27 is the answer

Step-by-step explanation:

It is 1/(3^3) which is 1/27

4 0
3 years ago
How do i get a monomial
horsena [70]
If a polynomial has more than one variable, then the degree of that monomial is the sum of the exponents of those variables. In this polynomial, 24xyz, the degree is 3 because the sum of degrees of x, y and z is 1 + 1 + 1 = 3.
8 0
4 years ago
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What is the least common multiple of 6x^2+39x-21 and 6x^2+54x+84?
SOVA2 [1]

Answer:

12x^3+102x^2+114x-84

Step-by-step explanation:

<u>Given polynomials</u>:

\begin{cases} 6x^2+39x-21\\6x^2+54x+84 \end{cases}

Factor the polynomials:

<u>Polynomial 1</u>

\implies 6x^2+39x-21

\implies 3(2x^2+13x-7)

\implies 3(2x^2+14x-x-7)

\implies 3[2x(x+7)-1(x+7)]

\implies 3(2x-1)(x+7)

<u>Polynomial 2</u>

\implies 6x^2+54x+84

\implies 6(x^2+9x+14)

\implies 6(x^2+7x+2x+14)

\implies 6[x(x+7)+2(x+7)]

\implies 6(x+2)(x+7)

\implies 2 \cdot 3(x+2)(x+7)

The lowest common multiplier (LCM) of two polynomials a and b is the <u>smallest multiplier</u> that is <u>divisible</u> by both a and b.

Therefore, the LCM of the two polynomials is:

\implies 2 \cdot 3(x+7)(x+2)(2x-1)

\implies (6x^2+54x+84)(2x-1)

\implies 12x^3+108x^2+168x-6x^2-54x-84

\implies 12x^3+102x^2+114x-84

8 0
2 years ago
Read 2 more answers
Factorization of:
zubka84 [21]

Answer:

Step-by-step explanation:

2800: 2 * 2 * 2 * 2 * 5 * 5 * 7

75: 3 * 5 * 5

168: 2 * 2* 2 * 3 * 7

It's not really multiplication. It's more division.

Try 2800 as a sample. What you are trying to do is break this down into primes. The first prime is 2

2800/2 = 1400

1400 / 2 = 700

700 / 2 = 350

350 / 2 = 175. That's the end of what the 2s can do.

175 / 5 = 35

35/ 5 = 7 7 is a prime. You are done. Now run up the ladder.

2800: 2 * 2 * 2 * 2 * 5 * 5 * 7

75 is not an even number. It has no 2s. Go to 3

75 / 3 = 25.

25 / 5 = 5

That's the end

75: 3 * 5 * 5

Your calculator can be of great help. The rule is keep factoring until you get a decimal remainder. Move on to the next prime. Stop when the last division gives you a prime.

3 0
3 years ago
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