What's the answer? Plz explain.

Mathematics

1 answer:

AlekseyPX3 years ago

4 0

You got it! The minimum point of a quadratic function is basically the point at "the bottom of the bowl" on the parabola. Looking at the y-axis, we see that f(x)=-8 is the functions minimum, and the corresponding x value is 2.

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Find two unit vectors orthogonal to both given vectors. i j k, 4i k

Maurinko [17]

The cross product of two vectors gives a third vector $\mathbf v$ that is orthogonal to the first two.

$\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k$

Normalize this vector by dividing it by its norm:

$\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)$

To get another vector orthogonal to the first two, you can just change the sign and use $-\mathbf v$ .

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3 years ago

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Dmitrij [34]

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2 years ago

4-58. Lisa plans to retire on her 61st birthday. On her

mojhsa [17]

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

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