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Marat540 [252]
3 years ago
14

Hii, so this was one of the questions on a previous CSAT exam (korean sat). I was curious and decided to look at a few questions

. This question I found was particularly interesting and I am close to figuring it out but i keep getting stuck. Would anyone like to explain how this works and how to solve it?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

Step-by-step explanation:

Well you can calculate the area of the base side by the integration of cos - sin x over the limits x = 0 and x = π/6.

Then I think one side of the square  would be cos π/6 - sin  π/6.

So I think the required volume  can be worked out as area of base * length of a side of the square.

I think that,s the way to do it, if i have interpreted the question correctly.

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How to find equation of line passing through the points (x,y)​
DochEvi [55]

First you must acknowledge that you are dealing with a line therefore you must write linear equation or linear function in this case.

Linear function has a form of,

y=mx+n

Then calculate the slope <em>m</em> using the coordinates of two points. Let say <em>A(x1, y1)</em> and <em>B(x2, y2)</em>,

m=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}

Now pick a point either <em>A</em> or <em>B</em> and insert coordinates of either one of them in the linear equation also insert the slope you just calculated, I will pick point <em>A</em>.

y_1=mx_1+n

From here you solve the equation for n,

y_1=mx_1+n\Longrightarrow n=y_1-mx_1

So you have slope <em>m</em> and variable <em>n</em> therefore you can write down the equation of the line,

f(x)=m_{slope}x+n_{variable}

Hope this helps.

r3t40

3 0
2 years ago
Your bank account has -15 in it. You deposit $7 per day. (a) How much money is in your account after 5 days? Show your work. (b)
Ugo [173]

(a) 7 x 5 = 35 - 15 = $20

(b) 20 / 4 = 5 days

3 0
3 years ago
Read 2 more answers
a patient was supposed to take 560 mg of medicine but took on The 420 mg what percent of medicine does she take
Sav [38]
You need to set the correct porportion. x is the percent value you want to find. 100 is the maximum percentage. 420mg is what was taken out of the maximum 560mg dose.

\frac{x}{100} \times \frac{420}{560}

You will cross multiple.

560x = 42000

you will divide 42000 by 560

\frac{560x}{560} = \frac{42000}{560}
x = 75

The complete answer will be: The patient took 75% of the 560mg dose of medication.
5 0
3 years ago
"suppose that it is decided to reject the null hypothesis if the sample mean time lag is less than 18.5 days. what is the probab
sweet-ann [11.9K]
Answer : 17
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4 0
3 years ago
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Find values for c and d that make h(x) continuous.
rewona [7]

By applying the definition of continuity and knowing piecewise functions, we know that the solution to this system of linear equations is c = 10 and d = -8.

<h3>How to make a piecewise function continuous</h3>

According to the <em>functional</em> theory, functions are continuous for a given interval if and only if the function has an only value for each element of the interval. In the case of the <em>piecewise</em> function, we must observe these two conditions:

2 · x = c · x² + d, for x = 1     (1)

4 · x³ = c · x² + d, for x = 2      (2)

Then, we have the following system of linear equations:

c + d = 2      (1b)

4 · c + d = 32     (2b)

The solution to this system of linear equations is c = 10 and d = -8.

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

4 0
2 years ago
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