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liq [111]
3 years ago
6

Derivative of sin(x+y)

Mathematics
1 answer:
vlabodo [156]3 years ago
4 0

Answer:

\frac{dy}{dx}  =  \frac{ \cos(x + y)}{[1 - \cos(x + y)] }

Step-by-step explanation:

Let y = sin(x+y)

Differentiating with respect to x on both sides.

\frac{dy}{dx}  =  \frac{d}{dx}  \sin(x + y) \\  \\  \frac{dy}{dx}  =  \cos(x + y)\frac{d}{dx}  (x + y) \\  \\ \frac{dy}{dx}  =  \cos(x + y)(1 + \frac{dy}{dx}) \\  \\  \frac{dy}{dx}  =  \cos(x + y) +\cos(x + y) \frac{dy}{dx} \\  \\  \frac{dy}{dx}   - \cos(x + y) \frac{dy}{dx} =  \cos(x + y) \\  \\  \frac{dy}{dx}  [1 - \cos(x + y)] =  \cos(x + y) \\  \\ \purple {\bold {\frac{dy}{dx}  =  \frac{ \cos(x + y)}{[1 - \cos(x + y)] }}}

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Justify x over 3 minus 7 equals 11
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Answer:

54/3-7=11

Step-by-step explanation:

x/3<u>-7=11</u>

   +7 +7

(3)x/3=18(3)

     x=54

Check

54/3-7=11

18-7=11

11=11

4 0
3 years ago
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To determine how a city's residents feel about building a new youth center, a group considers surveying 50 random children at a
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Answer:

This would most probably result in biased sample since only a specific part of the community is being surveyed that does not represent all of the community.

Step-by-step explanation:

A survey is being conducted to determine how a city's residents feel about building a new youth center.

They are considering to survey 50 random children at a local elementary school.

This would most probably result in biased sample since only a specific part of the community is being surveyed that does not represent all of the community.

Moreover, it is likely that the students of elementary school might not even have any interest in youth center so results would be biased.

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8 0
3 years ago
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You are making a new type of deodorant from two different mixtures the first mixture is 30% smell proof and the second mixture i
Readme [11.4K]

Answer:

600 L of 30% proof and 400 L of 80% proof is needed

Step-by-step explanation:

Let the amount of 30% smell proof be x while that of 80% smell proof is y

Then;

x + y = 1000 •••••(i)

Also;

30% of x + 80% of y = 50% of 1000

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From i, x = 1000 - y

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3 0
3 years ago
Wilbur runs 3.2 km every morning how many feet are in 3.2 km given that 1 mile = 1.609 km and 1 mile = 5,280
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1.609/5280 = 3.2/x....1.609 km to 5380 ft = 3.2 km to x ft
cross multiply because this is a proportion
(1.609)(x) = (5280)(3.2)
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3 years ago
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