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3 years ago

If we replace y with x2cos x and solve for y', we can conclude that the derivative is

Mathematics

1 answer:

marusya05 [52]3 years ago

5 0

Y = x^2 cos x

y' = x^2 * -sin x + cos x * 2x

= 2x cos x - x^2 sin x

= x ( 2 cos x - x sin x)

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The square of a positive number increased by twice the number equals three. Find the number

koban [17]

Answer:

Step-by-step explanation:

Let the number be x

x² + 2x = 3

x² + 2x - 3 = 0

Product = -3

Sum =2

Factors = 3 * (-1)

x² + 3x - x - 3 = 0

x*(x+3) - (x + 3) = 0

(x + 3)(x - 1) = 0

Ignore x + 3 because the number is a positive number

x - 1 = 0

x = 1

The number is 1

8 0

3 years ago

You have a new pool and want to know its volume. The pool is 5 feet deep and has a radius of 7 feet. How much water can a pool h

leva [86]

Answer:

769.6902 (or 769.3) cubic feet of water

Step-by-step explanation:

πr^2

r = 7

5 x π(7)^2 = 769.6902 (or 769.3 using 3.14)

5 0

3 years ago

The missing exponent of the y-term must be ____? PLEASE HELP

a_sh-v [17]

Answer:

what is y term??

Step-by-step explanation:

hope it helps

7 0

3 years ago

The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either

Ad libitum [116K]

Answer:

The steady state proportion for the U (uninvolved) fraction is 0.4.

Step-by-step explanation:

This can be modeled as a Markov chain, with two states:

U: uninvolved

M: matched

The transitions probability matrix is:

$\begin{pmatrix} &U&M\\U&0.85&0.15\\M&0.10&0.90\end{pmatrix}$

The steady state is that satisfies this product of matrixs:

$[\pi] \cdot [P]=[\pi]$

being π the matrix of steady-state proportions and P the transition matrix.

If we multiply, we have:

$(\pi_U,\pi_M)*\begin{pmatrix}0.85&0.15\\0.10&0.90\end{pmatrix}=(\pi_U,\pi_M)$

Now we have to solve this equations

$0.85\pi_U+0.10\pi_M=\pi_U\\\\0.15\pi_U+0.90\pi_M=\pi_M$

We choose one of the equations and solve:

$0.85\pi_U+0.10\pi_M=\pi_U\\\\\pi_M=((1-0.85)/0.10)\pi_U=1.5\pi_U\\\\\\\pi_M+\pi_U=1\\\\1.5\pi_U+\pi_U=1\\\\\pi_U=1/2.5=0.4 \\\\ \pi_M=1.5\pi_U=1.5*0.4=0.6$

Then, the steady state proportion for the U (uninvolved) fraction is 0.4.

4 0

4 years ago

A merchant buys a television for $125 and sells it for $75 more.What is the percent of markup?

cestrela7 [59]

Since he sold it for $75 more,

% Mark Up = Mark Up/ Cost Price x 100%

% Mark Up = 75 / 125 x 100% = 0.6 x 100% = 60%

Percent Mark Up = 60%
Hope this helps :)

3 0

3 years ago