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serg [7]
3 years ago
14

Help out plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0
#6 is 1.5 hours (Maria)
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What is a solution and what is not?
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Find the interval in which f(x)=sinx−cosx is increasing or decreasing?
alisha [4.7K]

Answer:

There is no short answer.

Step-by-step explanation:

To find to intervals which f(x) increases or decreases, we first need to find it's derivative.

f(x) = sinx - cosx\\f'(x) = cosx - (-sinx) = cosx + sinx

The function is increasing when it's value is  > 0 and decreasing when it's value is < 0.

If we take a look at this graph, cosx+sinx is positive when they are both positive or when cosx is greater then sinx on the negative part.

I hope this answer helps.

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3 years ago
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Find the vertex for the equation: <br> y = 3x^2 + 18x + 30<br> (-3, 3)<br> (-3, -51)<br> (3, 111)
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3 years ago
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Find the distance between (-1,-2) and (8,9)
Rom4ik [11]

Answer:

\sqrt{202} units or 14.2 units (rounded to the nearest tenth)

Step-by-step explanation:

To find the distance between a pair of two points, use the distance formula  d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}. Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:

d = \sqrt{(-1-8)^2+(-2-9)^2} \\d = \sqrt{(-9)^2+(-11)^2} \\d = \sqrt{81+121} \\d= \sqrt{202}  

So, as an exact answer, the distance is \sqrt{202} units.

(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)  

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3 years ago
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