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 relationship between f and a?

The relationship between f and A is and the relationship between F and A is

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,

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,

Here, the area in terms of x and C is the constant.

The relationship between f and A is and the relationship between F and A is

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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.

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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