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3 years ago

The sum of three consecutive integers is -324

Mathematics

2 answers:

krek1111 [17]3 years ago

5 0

Answer:108

Step-by-step explanation:

pochemuha3 years ago

4 0

Answer:

i think it is 3 8 19.

Step-by-step explanation:

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La adición de dos números es -17. Calcula el Numero Menor, si el mayor es -8

nasty-shy [4]

<h2> <em><u>Podría ser -9</u></em></h2>

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How to find the derivative of cos^2x? i seem to be confused.

slamgirl [31]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2927231

————————

You can actually use either the product rule or the chain rule for this one. Observe:

• Method I:

y = cos² x

y = cos x · cos x

Differentiate it by applying the product rule:

$\mathsf{\dfrac{dy}{dx}=\dfrac{d}{dx}(cos\,x\cdot cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=\dfrac{d}{dx}(cos\,x)\cdot cos\,x+cos\,x\cdot \dfrac{d}{dx}(cos\,x)}$

The derivative of cos x is – sin x. So you have

$\mathsf{\dfrac{dy}{dx}=(-sin\,x)\cdot cos\,x+cos\,x\cdot (-sin\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=-sin\,x\cdot cos\,x-cos\,x\cdot sin\,x}$

$\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark$

—————

• Method II:

You can also treat y as a composite function:

$\left\{\!
\begin{array}{l}
\mathsf{y=u^2}\\\\
\mathsf{u=cos\,x}
\end{array}
\right.$

and then, differentiate y by applying the chain rule:

$\mathsf{\dfrac{dy}{dx}=\dfrac{dy}{du}\cdot \dfrac{du}{dx}}\\\\\\
\mathsf{\dfrac{dy}{dx}=\dfrac{d}{du}(u^2)\cdot \dfrac{d}{dx}(cos\,x)}$

For that first derivative with respect to u, just use the power rule, then you have

$\mathsf{\dfrac{dy}{dx}=2u^{2-1}\cdot \dfrac{d}{dx}(cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=2u\cdot (-sin\,x)\qquad\quad (but~~u=cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=2\,cos\,x\cdot (-sin\,x)}$

and then you get the same answer:

$\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: <em>derivative chain rule product rule composite function trigonometric trig squared cosine cos differential integral calculus</em>

3 0

4 years ago

Round 24.5834 to 2 decimal places

weqwewe [10]

Answer:

24.58

Step-by-step explanation:

3 0

3 years ago

A researcher conducts an experiment comparing two treatment conditions with 20 scores in each treatment condition.

Savatey [412]

To determine the number of subjects that are needed for the experiments, we multiply the number of independent variables with the number of scores. For example, there are n independent variables then, there are approximately,

number of subjects = 20 x n = 20n

6 0

3 years ago

2. On December 31, Juan Carlos made a $ 7,000 deposit in an account that pays 2.975% interest compounded semi-annually. How much

inna [77]

Answer:$ 7425.89

Step-by-step explanation:

Formula to find the compound amount ( compounded semiannually) :-

$A=P(1+\dfrac{r}{2})^{2n}$ , where P is the principal amount, r is rate of interest ( in decimal), and n is time in years.

Given : P= $7000

r=2.975%=0.02975

Time : n= 2

Then, The amount in account after 2 years:-

$A=7000(1+\dfrac{0.02975}{2})^{2\times2}\\\\=7425.88565609\approx7425.89$

Hence, Amount in account after 2 years = $ 7425.89

6 0

3 years ago