Calculate the total area of the region described. Do not count the area beneath the X axis as negative. Bounded by the curve Y=1-x^2, the X axis, and the lines X=-1 and x=2 Calculate the total area of the region described. Do not count area beneath the x-axis as negative. HINT [See Example 6.]Bounded by the curve y = 1 – x², the x-axis, and the lines x = -1 and x = 2Need Help?Read ItWatch It

Given: Bounded by the curve.y=1-x2And the lines x=-1 and x=2

Answered: Calculate the total area of the region…

Calculate the total area of the region described. Do not count the area beneath the X axis as negative. Bounded by the curve Y=1-x^2, the X axis, and the lines X=-1 and x=2

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section4.2: Modeling With Linear Functions

Problem 8SE: Find the area of a parallelogram bounded by thex-axis, the line g(x)=2, the line f(x)=3x, and...

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Concept explainers

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.

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Calculate the total area of the region described. Do not count the area beneath the X axis as negative. Bounded by the curve Y=1-x^2, the X axis, and the lines X=-1 and x=2

Calculate the total area of the region described. Do not count area beneath the x-axis as negative. HINT [See Example 6.]
Bounded by the curve y = 1 – x², the x-axis, and the lines x = -1 and x = 2
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