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3 years ago

PLS HELP ASAP URGENT!!!

Mathematics

1 answer:

tresset_1 [31]3 years ago

6 0

Answer:

Step-by-step explanation:

4cm

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Use synthetic division to solve (x3 + 1) ÷ (x – 1). What is the quotient?

Fofino [41]

Answer:

x^2 + x + 1 + (2/ x -1)

Step-by-step explanation:

Use the divisor and find x :

x - 1 = 0 **add 1

x= 1

Now we will use the 1 in dividing:

take the coefficients from in front of all terms

** make sure you include 0's for x^2 and x since you have to have all terms

set it up with a 1 in a box:

1| 1 0 0 1 **bring the first number down

____________

1 **multiply the boxed number by the first number and add it to the second number

1| 1 0 0 1

____+1_____ **repeat with the rest of the terms

1 1

1| 1 0 0 1

___+1_+1_+1

1 1 1 2

**when you're done, use the new numbers to write an equation starting with a term with a degree one less than the previous equation.

**since there is a remainder, rewrite it divided by the original divisor

final answer:

x^2 + x + 1 + (2/ x -1)

8 0

3 years ago

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Which of the following examples have a constant rate of change?

Paladinen [302]

Answer:

B/second option

Step-by-step explanation:

The first option is wrong because you make 30 meatballs in 30 mins but then 30 meatballs in 20 mins. If it was constant then in 20 mins you make less meatballs.

The last option is wrong because if bacteria triples, then that is exponential, not constant change.

Only the middle option makes sense. The rate of change is $35 for each hour!

please give thanks by clicking the heart button! :)

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How do you do congruent angles

allochka39001 [22]

Answer:

Angles are congruent if they have the same angle measure in degrees.

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4 years ago

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∫(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>

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4 years ago

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Nastasia [14]

Answer:

Step-by-step explanation:

Surface area is the sum of the faces of all sides, so find the area of all sides and add

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