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astra-53 [7]
1 year ago
12

Find the derivative of f(x) =2x^2 -4x + 3

Mathematics
1 answer:
iren [92.7K]1 year ago
5 0

Derivatives

Find the derivative of the function:

f(x)=2x^2-4x+3

The following rules are applied:

\begin{gathered} (x^n)^{\prime}=n\cdot x^{n-1} \\ (kx)^{\prime}=k \\ (k)^{\prime}=0 \end{gathered}

Where k and n are constants.

Applying the rules:

\begin{gathered} f^{\prime}(x)=2(2x)-4+0 \\ Operate\colon \\ f^{\prime}(x)=4x-4 \end{gathered}

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Calculate the force acting on a body of mass 0.8kg (g=9.8*-2; F=mg)
bazaltina [42]

The force acting on a body of mass 0.8 kg is F = 7.84 kg-m-s⁻² or F = 7.84 N

<h3>What is mass?</h3>

A tangible body's mass is the amount of matter it possesses. It's also a metric of inertial or the resistance to velocity when a net force is exerted.

We have:

The mass of the body m = 0.8 kg

As we know,

F = mg

F is the force acting on the body and g is the acceleration due to gravity.

g = 9.8 m-s⁻²

F = (0.8)(9.8)

F = 7.84 kg-m-s⁻²

or

F = 7.84 N

Thus, the force acting on a body of mass 0.8 kg is F = 7.84 kg-m-s⁻² or F = 7.84 N

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MatroZZZ [7]

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Write each number as a product of prime numbers
worty [1.4K]

Answer:

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5 0
3 years ago
A process that produces computer chips has a mean of .04 defective chips and a standard deviation of .003 chips. The allowable v
gulaghasi [49]

Answer:

The capability index for the process is 0.889

Step-by-step explanation:

Here, we want to compute the capability index for the process

To get this, we need some important parameters which we already have stated in the question

USL ( upper standard limit) = 0.048

LSL (lower standard limit) = 0.032

mean = 0.04

standard deviation = 0.003

We apply the formula as seen in the attachment below

Kindly understand that we are to calculate the Z upper and Z lower

The smallest value between the two will be our Z minimum

This is what we shall apply in the capability index formula which mathematically is;

Z minimum/3

From calculation:

Z lower = Z upper = 2.67

So therefore;

capability index = 2.67/3 = 0.889

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3 years ago
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