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3 years ago

Derivative of square root 24x

Mathematics

2 answers:

pashok25 [27]3 years ago

4 0

4,49x is the square root of 24x

Andrews [41]3 years ago

3 0

Think of it as (24x)^1/2 then use chain rule. Which means first derive (24x)^1/2 as deriving u^1/2 (substitute u for 24x), then deriving 24x, finally write those 2 derivatives as a multiplication (as in a*b).

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Choose the domain for which each function is defined

klemol [59]

Answer:

Part 1) $f(x)=\frac{x+4}{x}$ -----> $x\neq 0$

Part 2) $f(x)=\frac{x}{x+4}$ ----> $x\neq -4$

Part 3) $f(x)=x(x+4)$ ----> All real numbers

Part 4) $f(x)=\frac{4}{x^2+8x+16}$ ----> $x\neq -4$

Step-by-step explanation:

we know that

The domain of a function is the set of all possible values of x

Part 1) we have

$f(x)=\frac{x+4}{x}$

we know that

In a quotient the denominator cannot be equal to zero

For the value of x=0 the function is not defined

therefore

The domain is

$x\neq 0$

Part 2) we have

$f(x)=\frac{x}{x+4}$

we know that

In a quotient the denominator cannot be equal to zero

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

Part 3) we have

$f(x)=x(x+4)$

Applying the distributive property

$f*(x)=x^2+4x$

This is a vertical parabola open upward

The function is defined by all the values of x

therefore

The domain is all real numbers

Part 4) we have

$f(x)=\frac{4}{x^2+8x+16}$

we know that

In a quotient the denominator cannot be equal to zero

Equate the denominator to zero

$x^2+8x+16=0$

Remember that

$x^2+8x+16=(x+4)^2$

( $x+4)^2=0$

The solution is x=-4

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

6 0

3 years ago

Is vertex and minimum value of parabola the same thing

gayaneshka [121]

Answer:If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. ... The y -intercept is the point at which the parabola crosses the y -axis.

Step-by-step explanation:Just searched it up ;)

7 0

3 years ago

Read 2 more answers

Expand x(4x+1) answer for this please

Sonbull [250]

Answer:

4x^2 + x

Step-by-step explanation:

just multiply x to each of the terms.

4 0

3 years ago

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System of linear equations has been graphed in the diagram. Determine a reasonable solution for the system of equations.

umka2103 [35]

Answer:

D) (0, -3)

Step-by-step explanation:

The solution of two linear equations is the point of intersection of their graphs.

From the graph, the point of intersection of the graphs of the two linear equations is on the y-axis. So, the $x$ value on the $y$ axis is always 0. Also, the point is below the x-axis. So, the $y$ value of the point will be negative.

From the choices given, only (0,-3) matches the above conditions.

Therefore, the correct choice is D. (0, -3).

7 0

3 years ago

The volume of most drink containers in the United States is measured in fluid ounces. There

attashe74 [19]

Answer:

68 ounces

Step-by-step explanation:

Most drink containers in the United States are usually known as 2 Litres bottle.

Now, let's convert this 2 litres to cubic centimeters.

1 litre is equal to 1000 cm³

So, 2 Litres = 2000 cm³

Since there are 29.6 cm³ per fluid ounce, thus amount of ounces held by the typical cup in america = 2000/29.6 = 67.57 ounces ≈ 68 ounces

3 0

3 years ago