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2 years ago

Can someone please help

Mathematics

2 answers:

Evgen [1.6K]2 years ago

6 0

<h2>Answer:</h2>

1. 122.2

2. D. Square feet per dollar.

3. Decreases.

4. 68.115

Nata [24]2 years ago

5 0

Answer:

A 122.2
B square feet
A increase
B 68.115

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At what points does the curve r(t) = ti (4t − t2)k intersect the paraboloid z = x2 y2? (if an answer does not exist, enter dne.)

Aleonysh [2.5K]

$\mathbf r(t)=x(t)\,\mathbf i+y(t)\,\mathbf j+z(t)\,\mathbf k=t\,\mathbf i+(4t-t^2)\,\mathbf k$
$\implies \begin{cases}x(t)=t\\y(t)=0\\z(t)=4t-t^2\end{cases}$

So the paraboloid is given by

$z(t)=x(t)^2y(t)^2\iff 4t-t^2=0$

which holds for $t^2-4t=t(t-4)=0$ , i.e. when $t=0$ and $t=4$ .

To make sure this is correct, plug in $t=0$ and $t=4$ to find out the value of $\mathbf r(t)$ , and see if these points are on the paraboloid.

$\mathbf r(0)=0\,\mathbf i+0\,\mathbf j+0\,\mathbf k\implies (0,0,0)$
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$\mathbf r(4)=4\,\mathbf i+0\,\mathbf j+(4\times4-4^2)\,\mathbf k\implies (4,0,0)$
$0=4^2\times0^2$

Both of these hold, so the answer is correct.

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2 years ago

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Answer:

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Step-by-step explanation: hope i helped mark brainlist plz

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First I cant understand the choices, because on how you type so I will jus provide the answer for you. First the amount of milk produce is proportional to the number of days so

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