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3 years ago

I need help answering 1,2, and 3

Mathematics

2 answers:

fomenos3 years ago

8 0

Answer:are you dumb bro

Step-by-step explanation:

EleoNora [17]3 years ago

6 0

Answer:

I do not know sry

Step-by-step explanation:

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I NEED HELP PLEASE !!!!

Darya [45]

Answer:

a and c

Step-by-step explanation:

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2 years ago

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Integral of x"2+4/x"2+4x+3

dolphi86 [110]

I'm guessing you mean

$\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx$

First, compute the quotient:

$\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}$

Split up the remainder term into partial fractions. Notice that

x ² + 4x + 3 = (x + 3) (x + 1)

Then

$\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52$

So the integral becomes

$\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}$

We can simplify the result somewhat:

$\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}$

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2 years ago

Help me with this question!

Damm [24]

Answer:

it will cost him £2.38

Step-by-step explanation:

bc you first multiply 4.25kg with £1.40 and that equals to 5.95

then you take 5.95 and devide it with 2.5 kg then that equals to £2.38.

I hope that this helped you.

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2 years ago

A small box of chocolates weighs a fifth a large box of chocolates. The difference in weight between a small box of chocolate an

antoniya [11.8K]

Answer:

4 punds

Step-by-step explanation:

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3 years ago

Lucy earns 52 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.

Misha Larkins [42]

Answer:

A = B + 52

Step-by-step explanation:

A is the total amount each week. 52 is the initial amount that she earns each week. Then, B represents the amount of books she sells. So, 15 books can be represented by

A = 15 + 52 = 67

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2 years ago

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