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3 years ago

Find the value of k so that the differential equation is exact, and find the general solution

Mathematics

1 answer:

N76 [4]3 years ago

6 0

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The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If k is the next-highest integer that

saul85 [17]

To solve this problem, we must do a method of trial and error to find for the next highest integer with exactly three factors. We know that the value of k must be greater than 4, therefore by using trial and error to find for the correct answer:

Factors of 5:1, 5

Factors of 6:1, 2, 3, 6

Factors of 7:1, 7

Factors of 8:1, 2, 4, 8

Factors of 9:1, 3, 9

Therefore we stop at 9 since this is already our answer. It has exactly three factors.

The sum of the factors is:

sum of factors = 1 + 3 + 9

<span>sum of factors = 13</span>

3 0

3 years ago

Como construir el numero 1,000

mars1129 [50]

Answer:

500+500 = 1000

100*10 = 1000

10^3 = 1000

10*10*10 = 1000

Hope i helped

<h2><em>DaniElSabiondo</em></h2>

5 0

3 years ago

1+5+10-7*15+45/2<br> please help it’s due soon!!!

KatRina [158]

Answer:

Negative 66.5 or -66.5

Step-by-step explanation:

You need to put minus before the number branliest me

8 0

2 years ago

There are 4 roads leading from Bluffton to Hardeeville, 6 roads leading from Hardeeville to Savannah, and 5 roads leading from

Dmitrij [34]

Answer:

120 ways.

Step-by-step explanation:

From the given information:

Total number of roads leading from Bluffton to Hardeeville = 4

Total number of roads leading from Hardeeville to Savannah = 6

Total number of roads leading from Savannah to Macon = 5

We need to find the total number of ways to get from Bluffton to Macon.

Total number of ways to get from Bluffton to Macon = $4\times 6\times 5= 120$

Therefore, there are 120 required number of ways to get from Bluffton to Macon.

7 0

3 years ago

Factor trinomial x^2n+10x^n+16

iragen [17]

Answer:

$\large\boxed{x^{2n}+10x^n+16=(x^n+2)(x^n+8)}$

Step-by-step explanation:

$\text{Use}\ (a^n)^m=a^{nm}.\\\\x^{2n}+10x^n+16=(x^n)^2+10x^n+16=x^n\cdot x^n+2x^n+8x^n+16\\\\=x^n(x^n+2)+8(x^n+2)=(x^n+2)(x^n+8)$

8 0

3 years ago