Sinx + cosx= 1 then find the value of x

1 answer:

4 0

$1√2sinx+1√2cosx=1√2.

This can be written as

cos(x−π4)=cos(π4)

The general solution of this equation ls

x−.π4=2nπ±π4,n=0,±1,±2,...,

So, x=2nπandx=(4n+1)π2,n=0,±1,±2,±3....

 ANSWER: x=2nπandx=(4n+1)π2,n=0,±1,±2,±3....$

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The average mass of an ant is approximately 3 × 10 − 3 grams. The average mass of a giraffe is approximately 2 × 10 3 kilograms.

Vika [28.1K]

Given that average mass of an ant $= 3 \times 10^{-3}$ grams.

Given that average mass of a giraffe $= 2 \times 10^{3}$ Kilograms.

Now we have to find about how many times more mass does a giraffe have than an ant. Before carring out any comparision, we must make both units equal.

Like convert kilogram into gram or gram into kilogram.

I'm going to convert kilogram into gram using formula

1 Kg = 1000 g

So the average mass of a giraffe $= 2 \times 10^{3} *10^3$ grams.

Now we just need to divide mass of giraffe by mass of ant to find the answer.

$\frac{2 \times 10^{3} *10^3 }{3 \times 10^{-3} }$

$= \frac{2 \times 10^{3} *10^3 *10^{3}}{3 }$

$= \frac{2 \times 10^{3+3+3}}{3 }$

$= \frac{2 \times 10^9}{3 }$

$= \frac{2}{3 } \times 10^9$

=666666666.667

Hence final answer is $\frac{2}{3 } \times 10^9$ which is approx 666666666.667.

3 0

3 years ago

Use the definition of the derivative as a limit to find the derivative f′ where f(x)= √ x+2.

MA_775_DIABLO [31]

Step-by-step explanation:

If the equation is

$\sqrt{x + 2}$

Then, here is the answer.

The definition of a derivative is

$\frac{f(x + h) - f(x)}{h}$

Also note that we want h to be a small, negligible value so we let h be a value that is infinitesimal small.

So we get

$\frac{ \sqrt{x + h + 2} - \sqrt{x + 2} }{h}$

Multiply both equations by the conjugate.

$\frac{ \sqrt{x + h + 2} - \sqrt{x + 2} }{h} \times \frac{ \sqrt{x + h + 2} + \sqrt{x + 2} }{ \sqrt{x + h + 2} + \sqrt{x + 2} } = \frac{x + h + 2 - (x + 2)}{h \sqrt{x + h + 2} + \sqrt{x + 2} }$