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Volgvan
2 years ago
6

May I know why is the answer 1/2? Any idea Thank you!

Mathematics
1 answer:
ElenaW [278]2 years ago
8 0

let's put value of t in equation.

x = 2√t

x = 2√y

x/2 = √y

(x/2)^2 = y

y = x^2 /4

now let's differentiate it with respect to x.

dy/dx = 2x/4 = x/2

differentiating again wrt to x

d^2y/dx^2 = 1/2

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What is the x-intercept of the graph that is shown below?
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Answer:

3

Step-by-step explanation:

its 3 because the line goes through 3 on x axis of the graph

5 0
3 years ago
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At his last track meet, Eli ran the 400-meter dash in 54 seconds. His friend Kimberly bet him that he couldn't run a whole kilom
Trava [24]

Answer:

Eli has to run for 2.25 minutes at this pace to win the bet.

Step-by-step explanation:

At his last track meet, Eli ran the 400-meter dash in 54 seconds.

So, the speed of Eli's run is \frac{400}{54} \times 60 = 444.44 meters per minute.

Now, if Eli is determined to run a whole kilometer with the same speed, then it will take Eli to run 1 kilometer within \frac{1000}{444.44} = 2.25 minutes.

Hence, Eli has to run for 2.25 minutes at this pace to win the bet. (Answer)

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3 years ago
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A. find the angular speed

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3 years ago
Domain<br> Range<br><br><br> The above is ______
IRISSAK [1]

Answer:

Function.  

Domain:   {-3, 5, 3, -5}

Range:  {-6, 2, 1}

Step-by-step explanation:

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5 0
3 years ago
Can someone please please help me on this algebra problem I’m stuck on answering the question?
Rudik [331]

Explanation:

Midline: it is a horizontal line where half of the function above it and half of the function is below it.

Amplitude: It means how far the function varies from the midline to the above and below.

Period: the distance between two consecutive maximum points (minimum points).

3) From the graph,

\begin{gathered} \text{Midline}=\frac{Maximum\text{ point+ minimum point}}{2} \\ =\frac{3+(-1)}{2} \\ =\frac{3-1}{2} \\ =\frac{2}{2} \\ =1 \end{gathered}

Answer: Midline=1

1) Amplitude

\text{Amplitude =}2

2) Periods

\begin{gathered} \text{Period}=6 \\ \Rightarrow b=\frac{2\pi}{6} \end{gathered}

4) The trigonometric equation is,

\begin{gathered} y=a\cos (b(x-c))+d \\ a=\text{ amplitude} \\ b=\text{period} \\ c=\text{ phase shift} \\ d=\text{ vertical shift} \\ y=2\cos (\frac{2\pi}{6}x)+1 \end{gathered}

Answer:

y=2\cos (\frac{2\pi}{6}x)+1

4 0
1 year ago
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