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DanielleElmas [232]
2 years ago
13

Please help.

Mathematics
2 answers:
Wewaii [24]2 years ago
7 0

Answer:

7.5 × 10-6

Sorry if its wrong

BARSIC [14]2 years ago
3 0
Anwser: 7.5 x 10-6


step by step explanation;
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Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin9t,sin6t,9t⟩,r(0)=⟨4,6,3⟩
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
Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A.
kondaur [170]

Th matrix is missing. The matrix is :

\begin{bmatrix}1 &-4  &4 \\ -4 &16  & 4 \end{bmatrix}

Solution :

The column of the matrix are \begin{bmatrix}1\\ -4\end{bmatrix} , \begin{bmatrix}-4\\ 16\end{bmatrix}, \begin{bmatrix}4\\ 4\end{bmatrix}

Now each of them are vectors in $IR^2$. But  $IR^2$ has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.

Therefore, the column of the given matrix does not form the \text{linearly independent set} as the set contains \text{more vectors} than there are entries in each vector.

Therefore, option (D) is correct.

4 0
2 years ago
Chucky grabbed 121212 items in the grocery store that each had a different price and had a mean cost of about \$7.41$7.41dollar
8090 [49]

Answer:

Both the mean and median will decrease, but the mean will decrease more than the median.

Step-by-step explanation:

Removing the wheel of cheese will decrease the median a little bit, because the median shifts from between two data points to the lower of the two data points:

       With the wheel of cheese, the median is the middle number, but there's no middle number in this data set! So, to find the median we take the mean of the two middle numbers, $4.79 and $5.19 which is $4.99.

       Without the wheel of cheese,

Removing the wheel of cheese will decrease the mean significantly, because the total cost will decrease by $39.99, and the number of items decreases by only 1.

8 0
3 years ago
Read 2 more answers
(a) Compute the sums of the squares of Rows 1-4 of Pascal's Triangle. That is, compute:
Elodia [21]
It's impossible to solve all that you give but I think I can help you. There are many different sites which have soft that can solve tasks like this. Just enter what you need in search bar and follow the first link you see.
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3 years ago
Cuanto es la raíz cuadrada de 3
marshall27 [118]
La raíz cuadrada de 3 es 1.73
7 0
3 years ago
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