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3 years ago

X = cos(2t) and y = sin(2t) Find the second derivative

1 answer:

3 0

Dy/dx = (dy/dt) / (dx/dt)
dy/dt = 2cos(2t)
dx/dt = -2sin(2t)

dy/dx = 2cos(2t)/-2sin(2t) = -cot(2t)

d^y/dx^2 = d(-1/tan(2t))/dx = (tan(2t) * 0 - (-1)*2sec^2(2t))/tan^2(2t) = 2sec^2(2t)/tan^2(2t) = 2csc^2 (2t)

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If f(1) =160 and f(n+1) = -2f(n), what is f(4)?

Margarita [4]

Answer:

-1280.

Step-by-step explanation:

f(n + 1) = -2 f(n):

As function of 1 = 160, function of 2 = -2 * 160 = -320.

function of 3 = -320 * -2 = 640 and

= function of 4 = 640 * -2 = -1280.

4 0

3 years ago

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Alex787 [66]

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2 years ago

Find the volume of the rectangular prism.<br> 9 cm<br> 9 cm<br> 9 cm

cricket20 [7]

Answer:

$3672 cm^3$

Step-by-step explanation:

There is a typo in the question, the lengths of the sides of the prism are:

24 cm

9 cm

17 cm

(otherwise, if all sides were 9 cm, it would be a cube, not a prism)

The volume of a rectangular prism is given by:

$V=l\cdot w\cdot h$

where:

l is the length of the prism

w is the width of the prism

h is the height prism

In this problem,

$l=24 cm$ (length)

$w=9 cm$ (width)

$h = 17 cm$ (height)

Therefore, the volume of the prism is:

$V=24\cdot 9 \cdot 17 = 3672 cm^3$

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3 years ago

The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm cubed of water.Find the percent of the c

Helen [10]

Answer:

In 3 seconds the cup is filled with $105\ cm^3$ <u>.</u>

Step-by-step explanation:

Given:

2 seconds = $70\ cm^3$ water

We need to find the percent of the cup that is filled with water after 3 seconds.

Solution:

Now Given:

The cup was filled at a constant rate.

First we will find the volume of water filled in the cup after 1 seconds.

2 seconds = $70\ cm^3$ water

1 seconds = Volume of water filled in 1 second.

By Using Unitary method we get;

Volume of water filled in 1 second = $\frac{70}{2}= 35\ cm^3$

Now we will find the volume of water filled in the cup after 3 seconds.

1 second = $35\ cm^3$ of water is filled

3 seconds = volume of water filled in the cup after 3 seconds

Again by using Unitary method we get;

volume of water filled in the cup after 3 seconds = $35 \times 3 = 105\ cm^3$

Hence In 3 seconds the cup is filled with $105\ cm^3$ .

To find the percent of the cup filled with water after 3 seconds we would required the dimensions of the cup which is not available in the question.

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3 years ago

How do you graph proportionality?

Allushta [10]

Answer:

Constant of Proportionality Equation

The constant of proportionality (k) equals the total price (y) divided by the number of cans (x). The second formula is a common alternate form of the constant of proportionality formula.

Step-by-step explanation:

4 0

3 years ago

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