I saw the image. The large box is filled with 6 columns of staples which has 5 box of staple each.

6colums * 5boxes/column = 30 boxes of staples.

30 boxes * 120 cu cm/box= 3,600 cu cm.

The estimated volume of the large box is 3,600 cu cm.

8 0

3 years ago

Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]

MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

$f(x)=2x+\sin (4x)$

Now on differentiating both side with respect to x we get that:

$f'(x)=2+4 \cos (4x)$

When $f'(x)=0$

this means that $2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}$

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval $[0,\pi]$ .

also we know that $\cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}$ ----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

$4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}$

Hence, the x-coordinates where $f'(x)=0$ for $f(x)=2x+\sin(4x)$ is $\dfrac{\pi}{6}$ .

5 0

3 years ago

Brian invests £1500 into his bank account. He receives 2% per year simple interest. How much will Brian have after 3 years? Give

Jet001 [13]

Answer:

1590

Step-by-step explanation:

1500 x 0.02

= 30

30 x 3

= 90

1500+90 = 1590

(ps.. there was an equation for this i just forgot it, you can look it up and check it)

8 0

2 years ago

Which of the following statements is true about the quadratic function f(x) = ax2 + bx + c?

Dahasolnce [82]

Answer:

Step-by-step explanation:

A. The constants a, b, and c must be real numbers with a not ever equal to zero.

Please vote brainliest <3

6 0

2 years ago