All categories

4 years ago

Necesito saber ¿Que es rotacion?

Mathematics

1 answer:

laila [671]4 years ago

3 0

Rotation- to turn or spin
Rotacion- girar

You might be interested in

The harmonic motion of a particle is given by f(t) = 2 cos(3t) + 3 sin(2t), 0 ≤ t ≤ 8. (a) When is the position function decreas

iren [92.7K]

For the last part, you have to find where $f'(t)$ attains its maximum over $0\le t\le8$ . We have

$f'(t)=-6\sin3t+6\cos2t$

so that

$f''(t)=-18\cos3t-12\sin2t$

with critical points at $t$ such that

$-18\cos3t-12\sin2t=0$

$3\cos3t+2\sin2t=0$

$3(\cos^3t-3\cos t\sin^2t)+4\sin t\cos t=0$

$\cos t(3\cos^2t-9\sin^2t+4\sin t)=0$

$\cos t(12\sin^2t-4\sin t-3)=0$

So either

$\cos t=0\implies t=\dfrac{(2n+1)\pi}2$

$12\sin^2t-4\sin t-3=0\implies\sin t=\dfrac{1\pm\sqrt{10}}6\implies t=\sin^{-1}\dfrac{1\pm\sqrt{10}}6+2n\pi$

where $n$ is any integer. We get 8 solutions over the given interval with $n=0,1,2$ from the first set of solutions, $n=0,1$ from the set of solutions where $\sin t=\dfrac{1+\sqrt{10}}6$ , and $n=1$ from the set of solutions where $\sin t=\dfrac{1-\sqrt{10}}6$ . They are approximately

$\dfrac\pi2\approx2$

$\dfrac{3\pi}2\approx5$

$\dfrac{5\pi}2\approx8$

$\sin^{-1}\dfrac{1+\sqrt{10}}6\approx1$

$2\pi+\sin^{-1}\dfrac{1+\sqrt{10}}6\approx7$

$2\pi+\sin^{-1}\dfrac{1-\sqrt{10}}6\approx6$

4 0

3 years ago

Read the picture please

charle [14.2K]

Answer:

I think its g and j

I don't think its I because that's above -1 and -3/2 should be below

8 0

3 years ago

Read 2 more answers

In any linear relationship why is the slope always the same?

tatyana61 [14]

Because it is a linear relationship between x and y, this gain ratio is the same everywhere along the line. This is the most common way to represent a straight line because readers can easily obtain two basis of a straight line, namely slope (m) and y- intercept (c).

6 0

4 years ago

Calculate the average for the following 25.2, 25.3, 25.8, & 25.1 =

agasfer [191]

Answer:

25.35

Step-by-step explanation:

25.2+25.3+25.8+25.1. /. 4

= 25.35

5 0

3 years ago

What is the explicit formula for this sequence?

jonny [76]

Answer:

$\text{C. }a_n=-8+(n-1)5$

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by $a_n=a_1+(n-1)d$ , where $a_n$ is the $n$ th, $a_1$ is the first them of the sequence, and $d$ is the common difference.

In the given sequence -8, -3, 2, 7, we can see that we're adding 5 to each term. Therefore, the common different is positive five (+5). We can also identify the first term is -8. Therefore, we have:

$a_1=-8$
$d=5$

Thus, the explicit formula for this sequence is:

$\boxed{a_n=-8+(n-1)5}$

8 0

3 years ago