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2 years ago

Help please I only have 10 minutes TT

Mathematics

1 answer:

dsp732 years ago

3 0

1. 5:15 = 1/3
scale factor is 1/3going from bigger to smaller

2. 2/8 = 1/4

14 x 1/4 = 3.5

X = 3.5

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How to integrate 1/(1-y)^2

Akimi4 [234]

If you're using the app, try seeing this answer through your browser: brainly.com/question/866966

_______________

Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\!\dfrac{1}{(1-y)^2}\,dy}\\\\\\ =\mathsf{\displaystyle\int\!\dfrac{-1}{(1-y)^2}\cdot (-1)\,dy}\\\\\\ =\mathsf{\displaystyle- \int\!(1-y)^{-2}\cdot (-1)\,dy\qquad\quad(i)}$

Substitution:

$\begin{array}{lcl} \mathsf{1-y=u}&\quad\Rightarrow\quad&\mathsf{y=1-u}\\\\ &&\mathsf{dy=-1\,du} \end{array}$

So the integral $\mathsf{(i)}$ becomes

$=\mathsf{\displaystyle -\int\! u^{-2}\,du}\\\\\\ =\mathsf{-\,\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\ =\mathsf{-\,\dfrac{u^{-1}}{-1}+C}\\\\\\ =\mathsf{u^{-1}+C}\\\\\\ =\mathsf{\dfrac{1}{u}+C}$

$=\mathsf{\dfrac{1}{1-y}+C}\\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\!\dfrac{1}{(1-y)^2}\,dy=\dfrac{1}{1-y}+C} \end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: indefinite integral fraction rational substitution power differential calculus

3 0

3 years ago

Please help if you know the answer

dimulka [17.4K]

Answer:

I think that the answer is 10

7 0

2 years ago

Read 2 more answers

How do you solve -x/6 > 3?

Lerok [7]

Answer:

Using Math.

Step-by-step explanation:

You solve it using math.

See, you should have been more specific with your question, maybe said "What is the answer" not "How do I solve".

But I guess I'll help you out bro

Multiply both sides by 6

that gives you -x>18

then multiply both sides by -1

which means you gotta flip the sign

so final answer is x<-18

4 0

3 years ago

A toy company is releasing a new catapult for water balloons that launches them at 9.8 meters per second from a stand 0.6 meters

Over [174]

Answer:

Step-by-step explanation:

3 0

3 years ago

In the given figure p=120° and y : z=2 : 3 Find x, y and z

Sindrei [870]

Answer:

x = 60°

y = 72°

z = 48°

Step-by-step explanation:

x = 180 - p = 180 - 120 = 60

Since y;z = 3:2 , 2y = 3z or z = 2y/3

Now, x + y + z = 180

60 + y + 2y/3 = 180 Multiply thru by 3 to remove the fraction

180 + 3y + 2y = 540

180 + 5y = 540

5y = 360

y = 72

z = 2(72)/3 = 48

Check: 60 + 72 + 48 = 180

5 0

3 years ago