All categories

3 years ago

Is the function increasing or decreasing over the interval (-3,-1)? Explain.

Mathematics

2 answers:

rusak2 [61]3 years ago

7 0

Increasing it is going up

Tatiana [17]3 years ago

4 0

<h3>Answer: Decreasing</h3>

Explanation:

The curve is going downhill as you move from left to right, and as you move from x = -3 to x = -1.

The interval notation of (-3,-1) means -3 < x < -1.

Since the curve is going downhill on this region, this means the function is decreasing on this interval.

You might be interested in

Dont want to fail final exams lol pls help

aliya0001 [1]

Answer:

x = -2

Step-by-step explanation:

you have to multiply to remove the fraction, then set equal to 0

and solve.

4 0

2 years ago

Read 2 more answers

Classify the following triangle based on its shape.

makvit [3.9K]

Answer:

Step-by-step explanation

the square in the corner

7 0

3 years ago

Read 2 more answers

What's the meaning of critical thinking.

Andreas93 [3]

Critical thinking<span> is </span>the<span> objective analysis </span>of<span> facts to form a judgment. </span>

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B%20%20%5Csqrt%7B3x%7D%20%7D%7B1%20%2B%20e%5E%7B2x%7D%20%7D%20" id="TexF

kumpel [21]

$~~~~~~~~y = \dfrac{\sqrt{3x}}{ 1+ e^{2x}}\\\\\\\implies \dfrac{dy}{dx} = \dfrac{d}{dx} \left( \dfrac{\sqrt{3x}}{1+ e^{2x}} \right)\\\\\\~~~~~~~~~~~~=\dfrac{(1 + e^{2x} ) \dfrac{d}{dx} \left(\sqrt{3x} \right) - \left(\sqrt{3x} \right)\dfrac{d}{dx}(1+e^{2x})}{\left( 1+ e^{2x} \right)^2}~~~~~~~~~~~~;[\text{Quotient rule}]\\\\\\~~~~~~~~~~~~=\dfrac{(1+e^{2x}) \cdot \dfrac{1}{2\sqrt{3x}} \cdot 3-\left(\sqrt{3x} \right) \cdot 2 e^{2x}}{(1 + e^{2x})^2}~~~~~~~~~~~~~~~~~~~~;[\text{Chain rule}]\\\\\\$

$=\dfrac{\dfrac{\sqrt 3 (1 + e^{2x})}{2\sqrt x} -2e^{2x} \sqrt{3x}}{(1+e^{2x})^2}\\\\\\=\dfrac{\tfrac{\sqrt 3(1 +e^{2x}) - 4x\sqrt 3 e^{2x}}{2\sqrt x}}{(1+e^{2x})^2}\\\\\\=\dfrac{\sqrt 3(1+e^{2x} -4xe^{2x})}{2\sqrt x(1 +e^{2x})^2}$

7 0

2 years ago

What is the standard deviation of the population: Use the stdevp function in the Desmos graphing calculator.

Mice21 [21]

The standard deviation of the given data is 3.5

<h3 /><h3>How to calculate the standard deviation of data?</h3>

Standard deviation is used to determine the rate of dispersion of data with respect to the mean.

The formula for calculating the standard deviation of data is given as:

$\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{n-1} }$

Given the data below:

10.4, 10.3, 11.7, 11.1, 8, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5

Using the stdevp calculator the standard deviation is calculated as:

σ = √12.405

σ = 3.5

Hence the standard deviation of the given data is 3.5

Learn more on standard deviation here: brainly.com/question/12402189

8 0

2 years ago