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Semenov [28]
3 years ago
5

Suppose F is an antiderivative of f and A is an area function of f. What is the relationship between f and A? What is the relati

onship between F and A?
Mathematics
2 answers:
Zina [86]3 years ago
4 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

the  relationship between F and A is  <span>x 
A(x) = ∫ f(x)dx = F(x) -F(0) 
0</span>
sattari [20]3 years ago
3 0

The relationship between f and A is \boxed{A\left( x \right) = \int {f\left( x \right)dx} } and the relationship between F and A is \boxed{F\left( x \right) = A\left( x \right) + C}.

Further explanation:

Given:

F is an anti-derivative of fand A is an area function of f.

Explanation:

The relationship between f and A can be obtained as follows,

A\left( x \right) = \int {f\left( x \right)dx}

If F is an anti-anti-derivative of the function f and A is the area function of f, then the relationship between A and F can be obtained as follows,

F\left( x \right) = A\left( x \right) + C

Here, A\left( x \right) the area in terms of x and C is the constant.

The relationship between f and A is \boxed{A\left( x \right) = \int {f\left( x \right)dx} } and the relationship between F and A is \boxed{F\left( x \right) = A\left( x \right) + C}.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Derivatives

Keywords: Derivative, function, differentiate, minimum value, F, anti-derivative, f, area, A, function, relationship, relation, integral, differentiation.

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Answer:

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Step-by-step explanation:

Let

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Find the solution of 4x2y′′−4x2y′+y=0,x&gt;04x2y″−4x2y′+y=0,x&gt;0 of the form y1=xr(1+c1x+c2x2+c3x3+⋯)
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Answer:

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Step-by-step explanation:

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The solution is attached.

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