application software program or ___ such as productivity or personal interest help you perform specific tasks when using your computer or device​

Answer:

[tex]\qquad\qquad\boxed{ \sf{ \: \bf \:\dfrac{1}{ {(2.001)}^{2} } = 0.24975 \: }} \\ \\ [/tex]

Step-by-step explanation:

Let assume that

[tex]\sf \:f(x) = \dfrac{1}{ {x}^{2} }, \: \: where \: x = 2 \\ \\ [/tex]

So,

[tex]\sf \:f(x + \triangle x) = \dfrac{1}{ {(x + \triangle x)}^{2} }, \: \: where \: \triangle x = 0.001 \\ \\ [/tex]

We know, By definition of differentials, we have

[tex]\sf \:f(x + \triangle x) = f(x) + \dfrac{d}{dx}f(x) \times \triangle x \\ \\ [/tex]

[tex]\sf \:\dfrac{1}{ {(x + \triangle x)}^{2} } = \dfrac{1}{ {x}^{2} } + \dfrac{d}{dx}\left(\dfrac{1}{ {x}^{2} } \right) \times \triangle x \\ \\ [/tex]

[tex]\sf \:\dfrac{1}{ {(x + \triangle x)}^{2} } = \dfrac{1}{ {x}^{2} } - \dfrac{2}{ {x}^{3} } \times \triangle x \\ \\ [/tex]

On substituting the values x and [tex]\triangle [/tex]x, we get

[tex]\sf \:\dfrac{1}{ {(2+ 0.001)}^{2} } = \dfrac{1}{ {(2)}^{2} } - \dfrac{2}{ {(2)}^{3} } \times 0.001 \\ \\ [/tex]

[tex]\sf \:\dfrac{1}{ {(2.001)}^{2} } = \dfrac{1}{4} - \dfrac{1}{ 4 } \times 0.001 \\ \\ [/tex]

[tex]\sf \:\dfrac{1}{ {(2.001)}^{2} } = \dfrac{1}{4} - \dfrac{0.001}{4} \\ \\ [/tex]

[tex]\sf \:\dfrac{1}{ {(2.001)}^{2} } = \dfrac{1 - 0.001}{4} \\ \\ [/tex]

[tex]\sf \:\dfrac{1}{ {(2.001)}^{2} } = \dfrac{0.999}{4} \\ \\ [/tex]

[tex]\sf\implies \bf \:\dfrac{1}{ {(2.001)}^{2} } = 0.24975 \\ \\ [/tex]

[tex]\rule{190pt}{2pt}[/tex]

Additional Information

[tex]\begin{gathered}\boxed{\begin{array}{c|c} \bf f(x) & \bf \dfrac{d}{dx}f(x) \\ \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf k & \sf 0 \\ \\ \sf sinx & \sf cosx \\ \\ \sf cosx & \sf - \: sinx \\ \\ \sf tanx & \sf {sec}^{2}x \\ \\ \sf cotx & \sf - {cosec}^{2}x \\ \\ \sf secx & \sf secx \: tanx\\ \\ \sf cosecx & \sf - \: cosecx \: cotx\\ \\ \sf \sqrt{x} & \sf \dfrac{1}{2 \sqrt{x} } \\ \\ \sf logx & \sf \dfrac{1}{x}\\ \\ \sf {x}^{n} & \sf {nx}^{n - 1}\\ \\ \sf {e}^{x} & \sf {e}^{x} \end{array}} \\ \end{gathered}[/tex]

In 1934 when she was four and a half her family moved to Amsterdam nether lands after adopt hit her and the Nazi party gained control over germany

Answer:

We have two eyes.

b) The cow gives us milk.

c) The watch keeps me punctual.

d) These may are jogging shoes.

e) Grapes are green in colour.

Answer: HCL( human-computer interaction) also known as hyper-converged infrastructure, in simple words it is a technology where human can interact with computers.

Human Computer Interaction examples:

• Mobile app.
• Browsing a website from your desktop computer.
• Using internet of things (IoT) devices.

Explanation: Following are some advantage and disadvantages of HCL

Advantages:

• HCI is more flexible, scalable and easy to maneuver
• HCI is capable of increased data protection.
• It is easier to manage since it includes a software interface.
• It can operate as a virtual machine (VM) since it includes a hypervisor.

Disadvantages:

• You need to learn how to use the tech in a correct way.
• Poor user interfaces and experiences can change technology from a useful tool to a frustrating waste of time.
• They consume electricity so it is bit costly.
• A relatively minor human error could have a serious impact on cost, safety and other important factors.

Learn more:

Human computer interaction design​

https://brainly.in/question/13148052

The principles of human computer interaction​

https://brainly.in/question/39503866