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2 years ago

What is the value of d/dx sin (2x-Pi/3) at x= Pi

Mathematics

1 answer:

Travka [436]2 years ago

8 0

Answer:

1/2 at x=pi

Step-by-step explanation:

d/dx sin(x) = cos(x)

Therefore:

d/dx sin(2pi-pi/3) = cos(5pi/3) = 1/2

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Find the general solution for the differential equation \displaystyle{\left.{d}{y}\right.}+{9}{x}\ {\left.{d}{x}\right.}={0}dy+9

densk [106]

Answer:

y= CC-4.5x^2

Step-by-step explanation:

To find the general solution to the differential equation

dy + 9x dx = 0, we employ the method of separating variable as follows:

Note: { will represent the integral sign here.

Separating the variables and integrating, we have

{dy = -{9x dx

y = -(9/2)(x^2) + CC,

where CC is the given constant of integration.

This can be rearranged/simplified to yield

y= CC-4.5x^2

6 0

3 years ago

Help me find the volume of this shape. step-by-step explanation please!!

Murrr4er [49]

Answer: 64 m^3

Step-by-step explanation:

Formula for the volume of a cube is b*h*w

Substitute values: 4*4*4 (or 4^3)

Calculate: 64

3 0

3 years ago

Convert this rational number to its decimal form and round to the nearest thousandth. 3/4

yKpoI14uk [10]

Answer:

4÷7=0.57142857

Step-by-step explanation:

nearest thousandths...

0.517

in decimals... we start in the tenths, hundredths then thousandths.

6 0

2 years ago

Read 2 more answers

Question

marin [14]

Answer:

Step-by-step explanation:

From the table attached,

x-intercept of the linear function is, the value of 'x' when f(x) = 0

x = 3 [x-intercept]

Function 'g' is the sum of 2 and the cube root of the sum of three time x and 1.

g(x) = $2+\sqrt[3]{3x+1}$

For x-intercept,

g(x) = 0

$2+\sqrt[3]{3x+1}=0$

3x + 1 = (-2)³

3x + 1 = -8

3x = -8 - 1

3x = -9

x = -3

Therefore, the x-intercept of function 'f' is different or greater than the x-intercept of function g.

4 0

2 years ago

Use the strategy to simplify 4\sqrt(576)<br> Write the prime factorization of the radicand.

Ronch [10]

<h3>Answer: 96</h3>

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Work Shown:

$4\sqrt{576}\\\\4\sqrt{2*2*2*2*2*2*3*3}\\\\4\sqrt{(2*2)*(2*2)*(2*2)*(3*3)}\\\\4\sqrt{(2)^2*(2)^2*(2)^2*(3)^2}\\\\4\sqrt{(2*2*2*3)^2}\\\\4\sqrt{24^2}\\\\4*24\\\\96\\\\$

6 0

3 years ago

Read 2 more answers