find the area between f(x)=x2+2 and g(x)=-x+1 on [1,3]

Q: Determine the area bounded by g(x) = x³ – 4x + 7 and h(x) = x + 5. %3D -

A: Given- g(x)=x3−4x+7 and h(x)=x+5 To Find- The area bounded by the above curves.  Concept Used-…

Q: Determine the area bounded by x²=y-1 and x=y-3

A: To find: The area bounded by the region x2=y-1 and x=y-3. Formula used: The area under the curve…

Q: Find the area bounded by y = 2x + x2 - x3, the x - axis, and x = -1 and x =1

A: On solving this we will get

Q: Use a finite approximation to estimate the area between the x-axis and the graph of f(x)=2x^5…

A:

Q: find the area of the region bounded by the functions f(x)=−13x+2 and g(x)=2x−1 over the interval…

A: The given functions are: fx=-13x+2, gx=2x-1 over that interval -2,1 Calculate the area of the region…

Q: Find the area under the graph of f(x)=4-x2  on the interval[-1,2]

A:

Q: Find the area under the graph of the function y=2-x-x² over the interval [-2,1].

A: Given query is to find the area under the curve.

Q: Find the area bounded by x²y = x² - 4 and x-axis, from x = 2 to x = 4.

A:

Q: Find the area between f(x)=x²-7 and the x-axis from x = 0 and x = 6. ...

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Q: (#2) Find the area between: f(x) = - 2x2 + 4x and g(x) =x +1 %3D

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Q: Find the area between the curve f(x) =sinx and g(x) = cosx over the interval x=-2 and x=5

A:

Q: What is the total area between f(x)=−6x and the x-axis over the interval [−4,2]

A: Graph of f(x)=-6x in interval -4 to 2 is shown on board

Q: Find the area bounded by f(x) = 6x – x² and y=0 for 0<x<1.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the area enclosed between f(x) = 0.65x² + 7 and g(x) = x, on the interval from x = -3 to x = 5.

A: Given,  fx = 0.65x2+7 gx = x  We have to find the area enclosed between fx and gx on the interval…

Q: Find the area A of the region R between the graph of f(x)= (x^2)/(4-x^2)^(1/2) and the x-axis on the…

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Q: Find area of the region. f(x)=x2-8x g(x)=0

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Q: Find the area of the region under the graph of f (x) = 4 − x2 over [0, 2].

A:

Q: Find the area bounded by x2- 6x +y = 0, x² - 2x - y = 0. and the x-axis.

A: We have given two curves;

Q: Determine the area bounded by: y2-12y-8x+28=0; and x2-4x+4y-20=0

A: The given equations: This can be rewritten as, To find the area bounded by the above equations:…

Q: b) Find the area between the 2 curves f(x)=x²+4-4x and x-axes and border with the two lines = 5 &x=…

A:

Q: Find the area bounded by the line f(x)=2x+2, the curve G(x)=X^2-6X +9 and the two vertical lines X=1…

A: Given:       fx=2x+2        gx=x2-6x+9        x=1,x=5 Area bounded by line and curve is:…

Q: 2. ) Find the area below f cx) -x +7x*- 1o x +3 over the interval 1L x<2 (Drow and Illustrate the…

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Q: Find a formula for the area function of f (x) = 2x + 4 with lower limit a = 0.

A: Integrals and derivatives are considered to be inverses of each other. For example if we integrate a…

Q: Find the exact area of the region bounded by y = -x² + 3x +1 and y = -x+1

A:

Q: 2. Find the area under the curve y = x² from x = 0 to x = 3. -y-x² (1,1) x-1 (3,9) x-3

A: Solved below.

Q: 2. Find the area bounded by y = ÷x' 3x and y = -4. - %3D 3,

A:

Q: Find the area under the curve of f(x) = 6x2 - 7x + 2 from x = 1 and x= 2

A:

Q: Find the area enclosed between f(x)=0.5x2+8 and g(x)=x from x=-2 to x=2.

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Q: 1. Find the area bounded by the two curves f(x) = x2 - 5 x + 6 g(x) = x + 6

A: Given curves f(x)=x2-5x+6g(x)=x+6

Q: 1. Find the area bounded by y = -x' - 3x and y =- 4. |

A: solve the following

Q: Find the area of the region under the graph of the function f on the interval [0, 10]. f(x) = 10x -…

A:

Q: 1. Solve the area bounded by the curve (x - 2)² = - ( y - 4) and the lines x=- 2 and y= 4.

A: The area bounded by the curves (x-2)2=-(y-4) ,x=-2, y=4 is as shown above.

Q: Compute the area under f(x)=9x1/2+54x-2 and above the x-axis on the interval from x =1 x=36.

A: Explanation of the answer is as follows

Q: 2. Find the area bounded by the curves y = x² - 2x + 2 and y = - x+ 2. (0, 2) (1, 1)

A:

Q: B. Find the area bounded by y = x2 – 2x – 3 and y = x + 1. | -

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Q: area bounded between y=3x+2 and y=-x^2+2

A: here we have to find the area bounded between the curve y=3x+2......(1) and y=-x2+2x+4.....(2)

Q: Find the area of the region enclosed between f (x) = 0.1x2 + 4, g(x) = x, x = -8, and x = 4

A:

Q: find the area between f(x)=x^2-16 and the x axis from x=0 to x-=9

A: The given function is fx=x2-16 We have to find the area between fx and the x-axis from x=0 to x=9

Q: Find the area bounded by f(x) = -x² +4x +1 and g(x) =x+1

A:

Q: b) Find the area enclosed between f(x)= = -x² + 4x and g(x) = x² - 6x + 5, over the interval 0≤x≤ 1.

A: Sol

Q: Find the area under the graph of f(x) = r² + 5 between x = 0 and = 6. %3D

A: The function is given by fx = x2+5 To evaluate: The area under the graph of the function fx between…

Q: Consider the region bounded by F(x)=10x3 +7x2 -7x +6 and g(x)= 9x3 +8x2 - x +6. Find the area, in…

A: Given query is to find the area bounded by the curves for the given intererval.

Q: Find the area under the curve y = x² from x = 0 to -y-x² (1,1) x-1 (3,9) x-3

A: Topic:- application of integration

Q: Find the area under the graph of y = g(x) from -2 to 5, where x³, 4 – x, x 1 -

A:

Q: Find the area of the region bounded by y=-x^2+3x+1 and y=-x+1

A: Please see the diagram below to understand what's going on:

Q: Find the area under the curve f(x)=x3f(x)=x3 on x=[−2.5,3.5]x=[-2.5,3.5] using the Midpoint Rule…

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Q: -. Find the area of the region between f(x) = 1-x² and g(x) = x + 3 on the interval [-2,2] 0 2

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Q: Compute the area under the curve of f(x)= e4 1 from x = 2 to x = 5

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Q: Find the area between  F(x) = x^2-5 and the x-axis from x=0 and x=9

A: Given query is to find the area under the curve.

Q: Find the area bounded by the curve f(x) = x³ + 3x² – 4x – 5 and x-axis from x = -3 to x = -1 using:…

A: Consider the given area bounded by the curves as y=x3+3x2-4x-5 and the x axis from x=-3 to x=-1. Let…

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.