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3 years ago

If f(x)=6x-9, find f(4)

Mathematics

2 answers:

agasfer [191]3 years ago

6 0

Answer:

Step-by-step explanation:

f(x)=6x-9

so nw x value give 4,

substitute x value with 4

f(4)=6(4)-9

=19

kipiarov [429]3 years ago

3 0

Answer:

Step-by-step explanation:

In order to find the answer, plug in 4 for x.

$f(x)=6x-9\\f(4)=6(4)-9\\f(4)=24-9\\f(4)=13$

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Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

$\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

but the integrand is even, so this is really just

$\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

Substitute x = 1/2 arccot(u/2), which transforms the integral to

$\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du$

There are lots of ways to compute this. What I did was to consider the complex contour integral

$\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz$

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

$\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}$

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

$\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}$

and it follows that

$\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}$

7 0

2 years ago

You would more likely give your friends a number of blocks to go east and then a number of blocks to go north. what would these

Zanzabum

3 blocks east and 2 blocks north should be the correct answer :)

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3 years ago

The circumference of a circle is 257 cm. What is the area,<br> in<br> square<br> centimeters

nikdorinn [45]

Answer:

$2\pi \times r = c$

$\pi \times {r}^{2} = a$

A=5257.76

Step-by-step explanation:

Or use a calculator online.

7 0

3 years ago

Read 2 more answers

Multiplying positive and negative fractions 2/5 times 2/3

Svet_ta [14]

Answer:

$\frac{4}{15}$

Step-by-step explanation:

I used an online Fraction calculator to check my answer and I got 4/15 both times so you can trust this answer my friend.

Hope this helped you out.

5 0

3 years ago

May you please help me figure out every angle?

djyliett [7]

Answer:

<D = 82°

<E = 49°

<F = 49°

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same length which means the 2 bottom angles are the exact same which means we can set them equal to each other to solve for it.

8 0

3 years ago