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4 years ago

Sin A Cos B - Cos A Sun B =

Mathematics

1 answer:

vladimir2022 [97]4 years ago

4 0

Answer:

$\large{\boxed{\sin\alpha\cos\beta-\cos\alpha\sin\beta=\sin(\alpha-\beta)}}$

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USPshnik [31]

Maybe the answer is D

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3 years ago

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Write the linearization of the function at the points indicated. (Enter your answer as an equation. Let x be the independent var

Natalija [7]

Answer:

$\displaystyle y=5+\frac{x}{10}$

$\displaystyle y=10+\frac{(x-75)}{20}$

Step-by-step explanation:

<u>Linearization</u>

It consists of finding an approximately linear function that behaves as close as possible to the original function near a specific point.

Let y=f(x) a real function and (a,f(a)) the point near which we want to find a linear approximation of f. If f'(x) exists in x=a, then the equation for the linearization of f is

$y=f(x)=f(a)+f'(a)(x-a)$

Let's find the linearization for the function

$y=\sqrt{25+x}$

at (0,5) and (75,10)

Computing f'(x)

$\displaystyle f'(x)=\frac{1}{2\sqrt{25+x}}$

At x=0:

$\displaystyle f'(0)=\frac{1}{2\sqrt{25+0}}=\frac{1}{10}$

We find f(0)

$f(0)=\sqrt{25+0}=5$

Thus the linearization is

$\displaystyle y=f(0)+f'(0)(x-0)=5+\frac{1}{10}x$

$\displaystyle y=5+\frac{x}{10}$

Now at x=75:

$\displaystyle f'(75)=\frac{1}{2\sqrt{25+75}}=\frac{1}{20}$

We find f(75)

$f(75)=\sqrt{25+75}=10$

Thus the linearization is

$\displaystyle y=f(75)+f'(75)(x-75)=10+\frac{1}{20}(x-75)$

$\displaystyle y=10+\frac{(x-75)}{20}$

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3 years ago

One-half the square of b

enot [183]

A machine produces 240 bolts in 25 minutes. At the same rate how many bolts would be produced in 45 minutes

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4 years ago

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If 234 players are separated into 18 equal teams,how many players will be on each team?

zvonat [6]

13 players on each team :)

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3 years ago

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Oblicz. Pamiętaj o kolejności wykonywania działań.<br> 4,01 – 1,08 : (2,9 + 0,7) =

Artist 52 [7]

Answer:

3,71

Step-by-step explanation:

4,01 - 1,08 ÷ 3,6

4,01 - 0,3

3,71

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3 years ago