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Rina8888 [55]
3 years ago
10

Determine the vector equation of movement of a plane that is moving in a straight line passing through the point (10, 5, 6) and

is parallel to the vector v→ = 12i→+ −34j→+ −6k→.
A. r(t) = (10 + −34t, 5 + 12t, 6+ −6t)

B. r(t) = (10 + −34t, 5 + 12t, 6 + −34t)

C. r(t) = (6 + 12t, 5 + −34t, 10 + −6t)

D. r(t) = (10 + 12t, 5 + −34t, 6 + −6t)
Mathematics
2 answers:
Anton [14]3 years ago
7 0

Answer:

D. r(t) = (10 + 12t, 5 + −34t, 6 + −6t)

Step-by-step explanation:

Hope this helps

GalinKa [24]3 years ago
6 0
D Greg’s shahs shads fashooo jabs
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Hope this helps

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Y = (x)^(1/9)*Find f(x) when x=(1/2)Round your answer to the nearest thousandth.
Verizon [17]

We are given a function f ( x ) defined as follows:

y=f(x)=x^{\frac{1}{9}}

We are to determine the value of f ( x ) when,

\times\text{ = }\frac{1}{2}

In such cases, we plug in/substitue the given value of x into the expressed function f ( x ) as follows:

y\text{ = f ( }\frac{1}{2}\text{ ) = (}\frac{1}{2})^{\frac{1}{9}}

We will apply the power on both numerator and denominator as follows:

f(\frac{1}{2})=\frac{1^{\frac{1}{9}}}{2^{\frac{1}{9}}}\text{ = }\frac{1}{2^{\frac{1}{9}}}

Now we evaluate ( 2 ) raised to the power of ( 1 / 9 ).

f\text{ ( }\frac{1}{2}\text{ ) = }\frac{1}{1.08005}

Next apply the division operation as follows:

f\text{ ( }\frac{1}{2})\text{ = }0.92587

Once, we have evaluated the answer in decimal form ( 5 decimal places ). We will round off the answer to nearest thousandths.

Rounding off to nearest thousandth means we consider the thousandth decimal place ( 3rd ). Then we have the choice of either truncating the decimal places ( 4th and onwards ). The truncation only occurs when (4th decimal place) is < 5.

However, since the (4th decimal place) = 8 > 5. Then we add ( 1 ) to the 3rd decimal place and truncate the rest of the decimal places i.e ( 4th and onwards ).

The answer to f ( 1 / 2 ) to the nearest thousandth would be:

\textcolor{#FF7968}{f}\text{\textcolor{#FF7968}{ ( }}\textcolor{#FF7968}{\frac{1}{2})}\text{\textcolor{#FF7968}{ = 0.926}}

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