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Nutka1998 [239]

1 year ago

6

A caterpillar moves at a constant speed of 1/2 inches per second. Let x represent the time travel in seconds and y represent the

distant travel in inches. I Really need help with this!

1 answer:

Anika [276]1 year ago

5 0

Step-by-step explanation:

Expression = 1/2x = y

Easy algebraic expression

~Done~

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Simplify.<br> √3(√6+√15)

Vikentia [17]

Answer:

10.9508446196

hope it helps

8 0

2 years ago

Read 2 more answers

∫(cosx) / (sin²x) dx

kirza4 [7]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2822772

_______________

Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\
=\mathsf{\displaystyle\int\! \frac{1}{(sin\,x)^2}\cdot cos\,x\,dx\qquad\quad(i)}$

Make the following substitution:

$\mathsf{sin\,x=u\quad\Rightarrow\quad cos\,x\,dx=du}$

and then, the integral (i) becomes

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

Integrate it by applying the power rule:

$\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\
\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\
\mathsf{=-\,\dfrac{1}{u}+C}$

Now, substitute back for u = sin x, so the result is given in terms of x:

$\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\
\mathsf{=-\,csc\,x+C}$

$\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>

5 0

2 years ago

The HCF and LCM of two numbers is 9 and 459 respectively if one the number is 27 the other number is (1)

dezoksy [38]

Answer:

153

Step-by-step explanation:

$other \: number = \frac{9 \times 459}{27} \\ \\ = \frac{459}{3} \\ \\ = 153$

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2 years ago

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Name the segments that are skew to BF

DiKsa [7]

Skew lines are lines that are not parallel and do not intersect.

BD, AB, FH, EF intersect BF. They are not skew to BF.

DH, CG, AE are parallel to BF. They are not skew to BF.

CD, AC, GH, EG are neither parallel nor do they intersect BF, so they are skew to BF

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2 years ago

Identify the set of ordered pairs that represents y as a function of x.

slega [8]

Answer:

The first one because every x value can only have one y value

Step-by-step explanation:

5 0

1 year ago