3 years ago

4, 16, 64, 256, 1024, ... what is the exponential function

Mathematics

1 answer:

muminat3 years ago

5 0

Answer:

y=x^4

Step-by-step explanation:

the equation is multiplying by 4 for every x value

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A particle moves along the x-axis so that at time t its position is given by s(t) = (t + 1)(t - 3)3, t > 0. /p>For what va

Zepler [3.9K]

Given the position function, the velocity function is obtained by taking the derivative:

$s(t)=(t+1)(t-3)^3\implies v(t)=(t-3)^3+3(t+1)(t-3)^2$

The velocity is increasing its own derivative is positive, so we also have to find the acceleration by taking another derivative:

$a(t)=4(t-3)^3+3(t-3)^2+6(t+1)(t-3)$

To find when $a(t)>0$ , we first need to know where $a(t)=0$ :

$4(t-3)^3+3(t-3)^2+6(t+1)(t-3)=(t-3)\bigg(4(t-3)^2+3(t-3)+6(t+1)\bigg)=(t-3)(4t^2-15t+33)=0$

The quadratic factor is always positive (its discriminant is negative), which leaves one solution at $t=3$ . To either side of $t=3$ , we have, for instance,

$a(2)=-12$

$a(4)=36>0$

which indicates that $v(t)$ is increasing for $t>3$ , making the answer A.

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3 years ago

Which of the following is not an example of a parent function?

Galina-37 [17]

The correct answer is 'C'

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4 years ago

What is 3 divided by 2 1/2

Nadusha1986 [10]

Answer:

1.2 or 1 1/5

Step-by-step explanation:

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3 years ago

What is the volume if each edge of each cube is 1 centimeter

Irina-Kira [14]

Answer:

1 cm^3

Step-by-step explanation:

Length x Width x Height

1 x 1 x 1 = 1

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3 years ago

The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times. What is the experimental pr

ioda

Because a 2 or a 4 was rolled 3 out of 12 times in the experiment, t so the fraction would be 3/12 (or 3 over 12).
Simplified: 1/4 (or 1 over 4)

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3 years ago

Read 2 more answers

4, 16, 64, 256, 1024, ... what is the exponential function ​

4, 16, 64, 256, 1024, ... what is the exponential function