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Naddika [18.5K]
3 years ago
13

Which of the following statements are true?

Mathematics
2 answers:
Kobotan [32]3 years ago
8 0

Answer:I believe the answer is D

Step-by-step explanation:

Y_Kistochka [10]3 years ago
7 0

Answer:

I believe the answer is D, all the proportional relationships are functions.

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Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
qwelly [4]

Answer:

A)

\displaystyle \frac{dy}{dt}=-\frac{33}{8}

B)

\displaystyle \frac{dx}{dt}=\frac{3}{2}

Step-by-step explanation:

<em>x</em> and <em>y</em> are differentiable functions of <em>t, </em>and we are given the equation:

xy=6

First, let's differentiate both sides of the equation with respect to <em>t</em>. So:

\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6]

By the Product Rule and rewriting:

\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0

Therefore:

\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0

A)

We want to find dy/dt when <em>x</em> = 4 and dx/dt = 11.

Using our original equation, find <em>y</em> when <em>x</em> = 4:

\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}

Therefore:

\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0

Solve for dy/dt:

\displaystyle \frac{dy}{dt}=-\frac{33}{8}

B)

We want to find dx/dt when <em>x</em> = 1 and dy/dt = -9.

Again, using our original equation, find <em>y</em> when <em>x</em> = 1:

(1)y=6\Rightarrow y=6

Therefore:

\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0

Solve for dx/dt:

\displaystyle \frac{dx}{dt}=\frac{3}{2}

5 0
3 years ago
Study the pattern and predict the nth term <br><br> a) 2,5,10,17,.......<br> b)0,1,4,9,.....
Rasek [7]
A)  nth term is n^2 + 1

b) nth term is (n - 1)^2
8 0
3 years ago
3x^4-18x^3+9x^2-54x<br> Ax (x^2+B) (x+C)<br><br> What is the value of C
lesantik [10]
Well to do this correctly it would have to be a but not techonology.
4 0
3 years ago
A student takes notes in class, completes assignments, attends tutoring, and prepares for the test. Which represents the likelih
Sauron [17]
Certain, as long as the student was studying using useful techniques that worked for them and paid close attention to the material taught in class
7 0
2 years ago
Read 2 more answers
WILL GIVE BRAINLIST! : ))
laiz [17]

Answer:d

Step-by-step explanation:

356-14 divided by 6

3 0
4 years ago
Read 2 more answers
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