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Mrac [35]
3 years ago
10

Find dy/dx if y= (cos x) ^ x

Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0
Y = (cos x)^x
log y = log (cos x)^x = x log (cos x)
1/y dy/dx = x * 1/cos x * -sin x + log (cos x) = -xsin x / cos x + log (cos x) = log (cos x) - xtan x
dy/dx = y(log (cos x) - xtan x) = (cos x)^x (log (cos x) - xtan x)


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Taya2010 [7]

Answer:

Fewer hours

Step-by-step explanation:

2/3 is a fraction and shows the parts of a whole. This means that 2/3 of last week is fewer than last week. Last week is the whole for example 15 hours. This week will be 2/3 or 2/3*15 = 10 hours. This week will be less than last week.

8 0
3 years ago
Simplify: m^2n^3 aanm^2a^2n^4
dolphi86 [110]

9514 1404 393

Answer:

  a^4·m^4·n^8

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

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m^2n^3 aanm^2a^2n^4

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3 0
3 years ago
It takes William 45 minutes to weed the garden. It takes his younger sister May 75 minutes to do the same job. If they work toge
marshall27 [118]

Answer:

B. 28 minutes

Step-by-step explanation:

According to the given statement,

William weeds the whole garden in 45 minutes, then in one minute he will weed 1/45 of the garden

and

similarly, 1/75 of the garden in one minute.

When they both will work together, they will weed (1/45+1/75) of the garden in one minute

Solving the equation:

= \frac{1}{45}+ \frac{1}{75}\\= \frac{75+45}{3375}\\ =\frac{120}{3375}\\ = 0.036

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So, number of minutes to weed whole garden = 1/0.036

= 27.77 minutes

Rounding off will give us: 28 minutes

So,

Option B is the correct answer ..

4 0
3 years ago
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Orlov [11]

Answer:

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Step-by-step explanation:

Assuming im interpreting this correctly, it should be (x+2)(x+1), since if you plug in -2 and -1, it will give you 0, which is the answer.

8 0
3 years ago
What is the circumference of circle with a diameter of 9 feet? Use 3.14 for tt
ankoles [38]

Answer:

28.26

Step-by-step explanation:

The formula for calculating diameter is π<em>d</em> (pi times the diameter), so 3.14 times 9 is 28.26.

4 0
3 years ago
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