3 years ago

34:34

Mathematics

1 answer:

Lapatulllka [165]3 years ago

5 0

Answer:

b 12

Step-by-step explanation:

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What’s is 2 1/2 divided 1/3

Marat540 [252]

Answer:

7 $\frac{1}{2}$

Step-by-step explanation:

$2\frac{1}{2} *$ the reciprocal of $\frac{1}{3}$

To find reciprocal, flip the top and the bottom.

So $\frac{1}{3}$ would be $\frac{3}{1}$ .

Multiply like normal.

6 0

3 years ago

Use partial fraction expansion to evaluate: LaTeX: \int\frac{x-1}{x^2+3x+2}dx ∫ x − 1 x 2 + 3 x + 2 d x a. LaTeX: -2\ln\left|x+1

ohaa [14]

$\frac{x-1}{x^2+3x+2}\\\frac{x-1}{(x+1)(x+2)}\\\frac{x-1}{(x+1)(x+2)}=\frac{A}{x+2}+\frac{B}{x+1}\\x-1=A(x+1)+B(x+2)\\\\\text{ Let } x=-1 \text{ then } -2=A(0)+B(-1+2) \text{ which means } B=-2\\\\\text{ Instead of choose } x \text{ to be -1, let's now set it equal to -2 to find } A\\\\-3=A(-1)+B(-2+2)\\-3=-A\\A=3\\\\ \text{ So your integral becomes } \\\int \frac{3}{x+2} dx+\int \frac{-2}{x+1} dx\\3 \ln|x+2|-2\ln|x+1|+C\\\\or\\-2\ln|x+1|+3\ln|x+2|+C$