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3 years ago

Let f (x)sinx cosx, then f'(x) =A. Cos2xB. sin2xC. tan 2xD. cos2x - sin2x

Mathematics

1 answer:

Degger [83]3 years ago

8 0

Answer:

A. Cos2x

Step-by-step explanation:

f(x) = sin(x)cos(x) = (1/2) sin(2x) using double angle formula.

f'(x) = ( (1/2)sin(2x) )' = 2(1/2)cos(2x) = cos(2x)

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3 years ago

It takes three identical water pumps 8 hours to fill a pool, What is the constant of variation?

BaLLatris [955]

Answer:

Constant of variation is 24.

Step-by-step explanation:

Inverse variation states that a relationship between two variables in which the product is remain constant.

If one variable increases then, the other one decreases in proportion so that the product is unchanged,

if y is inversely proportional to x i.e $y \propto\frac{1}{x}$ or

$y =\frac{k}{x}$ ;where k is the constant of variation.

It is given that 3 identical water pumps takes 8 hours to fill a pool,

since, it will take less time with more pumps, so it is an inverse variation.

By definition of inverse variation;

$time = \frac{k}{pump}$

Substitute the values to solve for k;

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Multiply by 3 to both sides we get;

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3 years ago

Let f (x)sinx cosx, then f'(x) =A. Cos2xB. sin2xC. tan 2xD. cos2x - sin2x​

Let f (x)sinx cosx, then f'(x) =A. Cos2xB. sin2xC. tan 2xD. cos2x - sin2x