3 years ago

Write the following expression in exponential form: 7.2 × 7.2 × 7.2 × 7.2 × 7.2 × 7.2 7.2 × 6 67.2 7.26 7.2 + 6

1 answer:

9966 [12]3 years ago

4 0

The exponential form of the expression will be 7.2^6

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klemol [59]

$\mathbf r'(t)=\langle\sin9t,\sin6t,9t\rangle$

$\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt$

$\mathbf r(t)=\left\langle\displaystyle\int\sin9t\,\mathrm dt,\int\sin6t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle$

$\displaystyle\int\sin9t\,\mathrm dt=\frac19\cos9t+C_1$

$\displaystyle\int\sin6t\,\mathrm dt=\frac16\cos6t+C_2$

$\displaystyle\int9t\,\mathrm dt=\frac92t^2+C_3$

With the initial condition $\mathbf r(0)=\langle4,6,3\rangle$ , we find

$\dfrac19\cos0+C_1=4\implies C_1=\dfrac{35}9$

$\dfrac16\cos0+C_2=6\implies C_2=\dfrac{35}6$

$\dfrac92\cdot0^2+C_3=3\implies C_3=3$

So the particular solution to the IVP is

$\mathbf r(t)=\left\langle\dfrac19\cos9t+\dfrac{35}9,\dfrac16\cos6t+\dfrac{35}6,\dfrac92t^2+3\right\rangle$

4 0

3 years ago

prohojiy [21]

Step-by-step explanation:

x² - 14x + 58

= (x - 7)² + 9.

Hence the vertex is (7, 9).

4 0

2 years ago

mr_godi [17]

9.2*14.71
=135.332
This is to 3 decimal places

3 0

3 years ago

castortr0y [4]

ONE EXAMPLE IS A GROUP OR BUSINESS MEETING SO YOU CAN DISCUSS THE DATA TOGETHER!!!!!! HOPE I ANSWERED YOUR QUESTION!

6 0

3 years ago

Nady [450]

There would be no solution.

3 0

3 years ago