How To Find Delta Y

How To Find Delta Y

find delta y given y=x²-3x+5, x=5 and delta x is -0.01, what is the value of y when x=4.99? please .. thank you​

Daftar Isi

1. find delta y given y=x²-3x+5, x=5 and delta x is -0.01, what is the value of y when x=4.99? please .. thank you​


Answer:

-3.02 & 6.98

Step-by-step explanation:


2. find the derivate of y=6x⁴-7x³+5x²​ using delta method please help..


Answer:

[tex] \frac{dy}{dx} = 24 {x}^{3} - 21 {x}^{2} - 10x[/tex]

Step-by-step explanation:

Because the actual manual COMPUTATION is very long because of the fact that I have to replace every [tex] x \: with \: (x + \Delta x), [/tex] then I will be using the shortcut method. This method is still delta.

FORMULA:

[tex] \frac{dy}{dx} = \lim_{x \to 0}\frac{(y+\Delta y) - y}{\Delta x} = \\ \lim_{x \to 0} \frac{ f(x + \Delta x) - f(x) }{ \Delta x } [/tex]

RULE:

[tex]a {x}^{n} = n \times {ax}^{n - 1} [/tex]

Such that,

[tex] \lim_{x \to 0} \frac{6{(x+ \Delta x)}^{4} - {7(x+ \Delta x)}^{3} + {5(x+ \Delta x)}^{2} - (6x^{4}-7x^{3}+5x^{2})}{\Delta x} \\ = (4 \times 6) {x}^{4 - 1} - (3 \times 7) {x}^{3 - 1} + (2 \times 5)^{2 - 1} \\ = \boxed{24 {x}^{3} - 21 {x}^{2} + 10x}[/tex]

[tex] \large \mathcal{ANSWER:} [/tex]

[tex] \boxed{y' = 24x^3 - 21x^2 + 10x} [/tex]

[tex] \large \mathcal{SOLUTION:} [/tex]

[tex] \scriptsize \begin{array}{l} \textsf{Given: } y = 6x^4 - 7x^3 + 5x^2 \\ \\ \textsf{Required: }y'\textsf{ using delta method} \\ \\ \displaystyle y' = \dfrac{dy}{dx} = \lim_{x \to 0} \dfrac{(y + \Delta y) - y}{\Delta x} \\ \\ \\ \displaystyle y' = \lim_{x \to 0} \dfrac{6(x + \Delta x)^4 - 7(x + \Delta x)^3 + 5(x + \Delta x)^2 - (6x^4 - 7x^3 + 5x^2)}{\Delta x} \\ \\ \displaystyle y' = \lim_{x \to 0} \dfrac{6\left[x^4 + 4x^3(\Delta x) + 6x^2(\Delta x)^2 + 4x(\Delta x)^3 + (\Delta x)^4\right]- 7\left[x^3 + 3x^2\Delta x + 3x(\Delta x)^2 + (\Delta x)^3\right] + 5\left[x^2 + 2x\Delta x + (\Delta x)^2\right]- (6x^4 - 7x^3 + 5x^2)}{\Delta x} \\ \\ \displaystyle y' = \lim_{x \to 0} \dfrac{\cancel{6x^4} + 24x^3(\Delta x) + 36x^2(\Delta x)^2 + 24x(\Delta x)^3 + 6(\Delta x)^4 - \cancel{7x^3} - 21x^2\Delta x - 21x(\Delta x)^2 - 7(\Delta x)^3 + \cancel{5x^2} + 10x\Delta x + 5(\Delta x)^2 - \cancel{6x^4} + \cancel{7x^3} - \cancel{5x^2}}{\Delta x} \\ \\ \displaystyle y' = \lim_{x \to 0} \dfrac{24x^3(\Delta x) + 36x^2(\Delta x)^2 + 24x(\Delta x)^3 + 6(\Delta x)^4 - 21x^2\Delta x - 21x(\Delta x)^2 - 7(\Delta x)^3 + 10x\Delta x + 5(\Delta x)^2}{\Delta x} \\ \\ \displaystyle y' = \lim_{x \to 0}\: \left[24x^3 + 36x^2(\Delta x) + 24x(\Delta x)^2 + 6(\Delta x)^3 - 21x^2 - 21x(\Delta x) - 7(\Delta x)^2 + 10x + 5(\Delta x)\right] \\ \\ \boxed{y' = 24x^3 - 21x^2 + 10x} \end{array} [/tex]

[tex] \mathfrak \color{cyan} {\#CarryOnLearning} [/tex]


3. find the derivate of y=6x⁴-7x³+5x²​ using delta method please help..​


Step-by-step explanation:

2x³-21x+10 is the answer. Pls refer to attached image for computation and brief explanation


4. which of the following best describes the relationship between Delta G and the rate of a reaction?- Delta G is inversely proportional to the rate- Delta G is linearly proportional to the rate- Delta G provides no information to the rate- If Delta G is negative, the reaction is at equilibrium- If Delta G is positive, the reaction is spontaneous in the forward direction​


Answer:

yung pang 4 po

Explanation:

try mo lang kung tana


5. what is the. code delta?​


answer

smile dog jpg.

no explanation

A code delta is a hipboard announcement warning of a

(1) Biological hazard

(2) Hull breach

EXPLANATION:

HOPE IT HELPS PO


6. the differences of delta and a peninsula​


A peninsula is a piece of land projecting into water from a larger land mass, while a delta is a landform at the mouth of a river that empties into a body of water.

Answer:

Peninsula is a piece of land projecting into water from a larger land mass while delta is a landform at the mouth of a river where it empties into a body of Water


7. Describe how deposition causes deltas to form.


The river must carry enough sediment to layer into deltas over time. The river's velocity decreases rapidly, causing it to deposit the majority, if not all, of its load. This alluvium builds up to form the river delta. ... As a result, sediment drops out of the flow and deposits.

A delta is a landform that is created at the mouth of a river where that river flows into an ocean, sea, estuary, lake, resevoir, flat arid area, or another river. Deltas are formed from the deposition of the sediment carried by the river as the flow leaves the mouth of the river in smaller channels called distributaries. Over long periods of time, this deposition builds the characteristic geographic pattern of a river delta.


8. Differentiate y = 4x^3 - 3x^2 - 7 using delta and Differentiation rules


Answer:

Rules for differentiation

General rule for differentiation: ...

The derivative of a constant is equal to zero. ...

The derivative of a constant multiplied by a function is equal to the constant multiplied by the derivative of the function. ...

The derivative of a sum is equal to the sum of the derivatives.

Step-by-step explanation:

yan lng masasagot ko sorry :((


9. where is delta formation​


Answer:

asa taas Yung sagot lods

Explanation:

#CarryOnLearning

#BrainlyEveryday

Answer:

A delta is a land form comprised of sediments found at the mouth of the river.A delta can only form when river channels carry sediments into another body of water.

Explanation:

Hope it helps:)


10. Can you explain how the Ganges delta has been formed? (own words)​


ANSWER

delta is formed mainly by the large sediment

lade waters

Mark me as Brainlîest thanks (◔‿◔)

#CarryOnLearning

#BrainliestBunch

#DarkAceJr


11. Differentiate the following and find its slopes using the increment/delta method or limit process: 1. [tex]y^2=2x+1[/tex] at (0, 1) 2. [tex]x^2=y-3[/tex] at (1, 4)


Answer:

Before we embark on setting the groundwork for the derivative of a function, let's review some terminology and concepts. Remember that the slope of a line is defined as the quotient of the difference in y-values and the difference in x-values. Recall from Section 1.2 that a difference between two quantities is often denoted by the Greek symbol

Δ

- read “delta” as shown next, where delta notation is being used when calculating and interpreting the slope of a line.

Calculating and Interpreting the Slope of a Line.

Suppose we are given two points

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

on the line of a linear function

y

=

f

(

x

)

.

Then the slope of the line is calculated by

m

=

Δ

y

Δ

x

=

y

2

y

1

x

2

x

1

.

We can interpret this equation by saying that the slope

m

measures the change in

y

per unit change in

x

.

In other words, the slope

m

provides a measure of sensitivity .

For example, if

y

=

100

x

+

5

,

a small change in

x

corresponds to a change one hundred times as large in

y

,

so

y

is quite sensitive to changes in

x

.

Next, we introduce the properties of two special lines, the tangent line and the secant line, which are pertinent for the understanding of a derivative.

Secant Line.

Secant is a Latin word meaning to cut, and in mathematics a secant line cuts an arbitrary curve described by

y

=

f

(

x

)

through two points

P

and

Q

.

The figure shows two such secant lines of the curve

f

to the right and to the left of the point

P

,

respectively.

Since by necessity the secant line goes through two points on the curve of

y

=

f

(

x

)

,

we can readily calculate the slope of this secant line.

Definition 4.1. Slope of Secant Line — Average Rate of Change. Suppose we are given two points

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

on the secant line of the curve described by the function

y

=

f

(

x

)

as shown. Then the slope of the secant line is calculated by

m

=

Δ

y

Δ

x

=

y

2

y

1

x

2

x

1

.

Note that we may also be given the change in

x

directly as

Δ

x

,

i.e the two points are given as

(

x

,

f

(

x

)

)

and

(

x

+

Δ

x

,

f

(

x

+

Δ

x

)

)

,

and so

m

=

Δ

y

Δ

x

=

f

(

x

+

Δ

x

)

f

(

x

)

Δ

x

.

Note:

In the above figure, the value of

Δ

x

must be negative since it is on the left side of

x

.

The slope of the secant line is also referred to as the average rate of change of

f

over the interval

[

x

,

x

+

Δ

x

]

.

The expression

f

(

x

+

Δ

x

)

f

(

x

)

Δ

x

is referred to as the difference quotient.

Tangent Line.

Tangent is a Latin word meaning to touch, and in mathematics a tangent line touches an arbitrary curve described by

y

=

f

(

x

)

at a point

P

but not any other points nearby as shown.

Since by definition the tangent line only touches one point on the curve of

y

=

f

(

x

)

,

we cannot calculate the slope of this tangent line with our slope formula for a line. In fact, up to now, we do not have any way of calculating this slope unless we are able to use some geometry.

Suppose that

y

is a function of

x

,

say

y

=

f

(

x

)

.

Since it is often useful to know how sensitive the value of

y

is to small changes in

x

,

let's explore this concept via an example, and see how this will inform us about the calculation of the slope of the tangent line.


12. what is the delta method of y=x³-4x+3​


[tex] \large \mathcal{ANSWER:} [/tex] 

[tex] \boxed{y' = 3x^2 - 4} [/tex]

[tex] \large \mathcal{SOLUTION:} [/tex] 

[tex] \begin{array}{l} \textsf{Given:}\:y = x^3 - 4x + 3 \\ \\ \textsf{Required:}\: y'\:\textsf{using delta method} \\ \\ y = x^3 - 4x + 3 \\ \\ y + \Delta y = (x + \Delta x)^3 - 4(x + \Delta x) + 3 \\ \\ \textsf{Subtract }y\textsf{ from both sides of the equation.} \\ \\ \Delta y = x^3 + 3x^2\Delta x + 3x{\Delta x}^2 + {\Delta x}^3 - 4x\\ \quad \quad \quad \quad \quad\quad\quad - 4\Delta x + 3 - (x^3 - 4x + 3) \\ \\ \Delta y = 3x^2\Delta x + 3x{\Delta x}^2 - 4\Delta x \\ \\ \textsf{Factor out RHS.} \\ \\ \Delta y = \Delta x (3x^2 + 3x\Delta x - 4) \\ \\ \textsf{Divide both sides of the equation by }\Delta x. \\ \\ \displaystyle \dfrac{\Delta y}{\Delta x} = 3x^2 + 3x\Delta x - 4 \\ \\ \displaystyle y' = \dfrac{dy}{dx}= \lim_{\Delta x \to 0} \dfrac{\Delta y}{\Delta x} \\ \\ \displaystyle y' = \lim_{\Delta x \to 0} (3x^2 + 3x\Delta x - 4) \\ \\ \implies \boxed{y' = 3x^2 - 4} \end{array} [/tex]

[tex] \texttt \color{cyan} {\#CarryOnLearning} [/tex]


13. The values selected for alpha and delta depend on how much variation there is in demand and how the trend factor is


Answer:

><=

Explanation:

ganyan po yung mga value


14. What are the agents of delta​


Answer:

Hepatitis D (formerly the “delta agent”) is a defective RNA virus that is dependent on host enzymes and viral enzymes of HBV for its own replication. The HDV RNA is replicated by the host polymerases and requires HBV for its HBsAg coat, which is necessary for HDV assembly.


15. how can mathematics be of great help in the so called pandemic "DELTA VARIANT"? support your answer.​


I dont know... I dont quite know the answer


16. Delta Varian Opinyon​


Answer:

is that any answer or something

Answer:

Ang DELTA VARIANT ay isang COVID-19 VARIANT.Ito ang pinaka-delikado na variant ng COVID-19.Dahil pati na rin bata ay mahahawa

Explanation:

#stay at home

#be safe

GET YOUR VACCINE NOW !

17. How are deltas, natural levees, and alluvial fans similar? How are they different?


no, it's because they have a different shape,the others are using them, but the others are not.it's because they have different uses.
 

18. 6. (map) What is a delta, and why was the delta of the Nile important to ancient Egypt?​


Answer:

edi answer ko nalang po ok


19. as a student how does this information affect the awareness about the delta variant brainly​


Explanation:

base on what I understand


20. How to select delta and core in a loop pattern?​


Answer:

This booklet concerning the study of fingerprints has been prepared by the Federal Bureau of Investigation for the use of interested law enforcement officers and agencies, particularly those which may be contemplating the inauguration of fingerprint identification files.

Explanation:

ಥ‿ಥ pa answer Ren saken click my profile


21. similarities of delta and omicron​


The omicron variant of the novel coronavirus emerged as the delta variant continued to cause havoc with people


22. how to protect delta smelt​


Answer:

The agency touted “smarter delta operations through real-time adaptive management and greater management oversight of delta pumping operations informed by updated science” to help the smelt and other endangered species recover even as the mammoth state and federal pumps drained more water out of the ecos


23. how to solve this, delta to wye​


Answer:

Its seems complicated to see a circuit which you don't know where is the series connection and parallel connection is. But don't worry,Wye-Delta and  Delta-Wye Transformation  is to the rescue. Wye-delta Transformation is already discussed in our lesson four blog but here we will give some examples and we will explain slowly, step-by-step.

Example 1:

Find Rab and i.

In this example, there are two Y-networks comprising the first Y-network (24Ω, 30Ω, and 30Ω) and the second Y-network (10Ω, 50Ω and 30Ω). You can use both to find the Rab and i ...But in this example we will use the second Y-network.

Explanation:

#carryonlearning


24. identify delta An ridge ​


ayan po <3

Explanation:

Sana makatulung


25. please help me. how to get the derivatives of an equation using the the delta of x?


Add both sides.
for example:
Y = sin^2x

*add y by ¤y and x by ¤x; ("¤" represents delta)
y + ¤y = sin^2x+¤x

*get ¤y, transpose y
¤y = sin^2x +¤x - y

*substitute value of y
¤y = sin^2x +¤x - sin^2x

*and solve.

26. similarities of delta and peninsula​


Explanation:

A peninsula is a piece of land surrounded by water on the majority of its border, while being connected to a mainland from which it extends.

Delta

The closed figure produced by connecting three coils or circuits successively, end for end, esp. in a three-phase system; - often used attributively, as delta winding, delta connection (which see), etc.


27. Three resistors 12 kOhms are connected in star. Find the value of each resistor if it is connected in Delta.


Star Network is a resistor if it is connected to delta

   To transform a network from one form to another using series or parallel combination in order to further simplify it. The three linked resistances (or impedances) can be changed by their equivalents measured between terminals 1-2, 1-3, or 2-3 for either a star-connected circuit or a delta-connected circuit using these circuit transformations.

   Although the internal voltages and currents of the resulting networks are different from those of the star or delta networks, each network will still use the same amount of power and have the same performance.

By equating the right-side terms of the aforementioned equations for which the left-side terms are the same, we will obtain the following equations.

Equation 1:

[tex]R_{A} + R_{B} = \frac{(R_{1}+R_{3})R_{2} }{R_{1} ,R_{2} ,R_{3} }[/tex]

Equation 2:

[tex]R_{B} +R_{C} = \frac{(R_{1}+R_{2})R_{3} }{R_{1} +R_{2}+R_{3} }[/tex]

Equation 3:

[tex]R_{C} +R_{A} =\frac{(R_{2} +R_{3})R_{1} }{R_{1}+ R_{2} +R_{3} }[/tex]

The result of adding the three equations is:[tex]2(R_{A} R_{B} R_{C} )=\frac{2(R_{1} R_{2}+R_{2} R_{3}+R_{3} R_{1} )}{R_{1}+ R_{2} R_{3} }[/tex]

           ⇒[tex]R_{A}+ R_{B}+ R_{C} = \frac{R_{1} R_{2}+R_{2} R_{3}+R_{3} R_{1} }{R_{1}+ R_{2} R_{3} }[/tex]

Equation 2 is subtracted from Equation 4.

        [tex]R_{A}+ R_{B}+ R_{C} - (R_{B} +R_{C} )= \frac{R_{1} R_{2}+R_{2} R_{3}+R_{3} R_{1} }{R_{1}+ R_{2} R_{3} }[/tex]

                  [tex]R_{A} =\frac{R_{1} R_{2} }{R_{1}+ R_{2} R_{3} }[/tex]

Equation 3 minus Equation 4 results in Equation 5.

                [tex]R_{B} =\frac{R_{2} R_{3} }{R_{1}+ R_{2} R_{3} }[/tex]

Equation 1 is subtracted from Equation 4 to get:

            [tex]R_{C} =\frac{R_{3} R_{1} }{R_{1}+ R_{2} R_{3} }[/tex]

         The resistances of the star network can be determined from the resistances of the delta network by utilizing the relations. This is how a delta network may be changed into a star network.

Learn more about Resistor: https://brainly.com/question/24297401?referrer=searchResults

#SPJ1


28. how to how to select delta and core in a loop pattern​


Answer:

The core is placed upon or within the innermost sufficient recurve. When the innermost sufficient recurve contains no ending ridge or rod rising as high as the shoulders of the loop, the core is placed on the shoulder of the loop farther from the delta.

Explanation:

correct me if I'm wrong:>


29. how to how to select delta and core in a lap pattern​


Answer:

ekylejake is waiting for your help.

Add your answer and earn points.

Explanation:

Answer:

pa help po plss malapit napo kase pasahan e plssss

Explanation:


30. how do covid 19 and delta variant affect our respiratory system?​


Answer:As of July 2021, there are four dominant variants of SARS-CoV-2 spreading among global populations: the Alpha Variant (formerly called the UK Variant and officially referred to as B.1.1.7), first found in London and Kent, the Beta Variant (formerly called the South Africa Variant and officially referred to as B.1.351), the Gamma Variant (formerly called the Brazil Variant and officially referred to as P.1), and the Delta Variant (formerly called the India Variant and officially referred to as B.1.617.2).

Explanation:


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