2/ determine the area of the region enclosed between the curves x= and y=x-1? ans/ 18 3/ Find the area of the region enclosed between the curves y= x' and x= y? ans/ 1/2

Q: Sketch the region enclosed by the curves and find its area. T y = cos 4.x, y = 0, x 8' - 4 NOTE:…

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Q: 2/ determine the area of the region enclosed between the curves x= 0sy'-3 and y=x-1? ans/ 18

A: Please see the explanation below

Q: 1/ Find the area of the region enclosed between the curves y= 2r'+10 and y=4x+16 and ,x=-2 and x=5?…

A: The area of the region enclosed by the given curves has been obtained below.

Q: Find the area between the curves y = e Area - 0.7x and y = 1.3x + 1 from x=0 to x=2

A: The area between the curves y=e-0.7x and y=1.3x+1 on interval 0, 2.

Q: Find the area between the curve y = -x< + 6x – 8 and the x-axis from x = 2 to x = 4. (Give an exact…

A:

Q: Find the area between the curves y=e^−0.7x and y=2.1x+1 from x=0 to x=1. Area=_____

A: Using Formula of Area between two curves.

Q: Find the area between the curves y – 0.5x = e and y = 2.1x + 1 from x=0 to x=3 Area

A: Explanation of the answer is as follows

Q: 3. Find the area of the region bounded by the curves y = x² and y = cos(x). Give your answer correct…

A: The region bounded by the curves y=x2 and y=cos x

Q: Find the exact area between the curves y =x´ and y = 2 - x. %3D

A:

Q: Approximate the area under the curve y=x^2 from x=0 to x=2 using a Right Endpoint approximation with…

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Q: 2. Find the area between the curves y = Vr -1 and r - y = 1.

A: Given curve is y=√(x-1) and y=x-1

Q: What is the area under the curve y = x° and above the x-axis between x = 1 and x = 3? What is the…

A: We have to use integration here.

Q: Approximate the area under the curve y=x^2 from x=2 to x=4 using a Right Endpoint approximation with…

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Q: π Find the area of the region enclosed by y = sin¯¹(x), y = and the y-axis without using integration…

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Q: 26. Find the area of the region bounded by the curve y = 4x – x?, the lines x = 1 and x = 3 and the…

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Q: What is the area of the region bounded by the graph of the y= 2/x function x = e, x-e^2 lines and…

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Q: Determine the area (in units) of the region between the two curves by integrating over the x-axis. y…

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Q: Find the area between the curve y = x2 + 9x + 14 and the x-axis from x = −2 to x = 0. (Give an exact…

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Q: 1/ Find the area of the region enclosed between the curves y= 2x+10 and y=4x+16 and ,x=-2 and x-5?…

A:

Q: Sketch the region whose area is given by the definite integral. 8. x dx

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Q: 5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

A: To find the area bounded by the curves f(x)=4-x2, y=4, y=2x-4. The region bounded by the curves is:

Q: Approximate the area under the curve y=x^3 from x=2 to x=4x using a Right Endpoint approximation…

A:

Q: Find the area between the curves y = 3 - x and y = x2 - 9: Exact value, show all work for full…

A: Given: y=3-xy=x2-9 To Find: Area between the given curves. Concept: i. If f(x) and g(x) are two…

Q: The definite integral that calculates the area of the region enclosed by the curves y=4 - x² and y =…

A: Solution of the problem as follows

Q: Find the area enclosed by the given curves y = 12x² region first. - 3 and y = 7 cos(Tx). You may…

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Q: A projectile fired downward from a height of 112 ft reaches the ground 2 seconds. What is the…

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Q: Find the area of the region between the curves y = |x| and y = x² – 2. Area between curves =

A: Given : Two curves y = |x| and y = x² - 2

Q: Find the area between the curves y= e 0.8z and y = 1.5x + 1 from x=0 to x=5 Area =

A: We have to find the area between the curves y=e-0.8x and y=1.5x+1 form x=0 to 5.

Q: Find the area of the region enclosed by the curves y = x² and Y = 5x by integrating with respect to…

A: We have to find the area of the region.

Q: 1/ Find the area of the region enclosed between the curves y= 2x2+10 and y=4x+16 and ,x=-2 and x=5?…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Find the area between the curve  y = −x2 + 3x − 2  and the x-axis from  x = 1 to x = 2.  (Give an…

A: Given: Find the area between the curve  y = −x2 + 3x − 2  and the x-axis from  x = 1 to x = 2.…

Q: Approximate the area under the curve y=x^2 from x=0 to x=3 using a Right Endpoint approximation with…

A:

Q: Find the area between the curves y = e 1. = y = 2.3x + 1 from x = 0 to x = Area -0.4x and

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Q: Find the area between the curves y 0.7x and y = 2.4x +1 from x = 0 to x = 4. = e Area =

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Q: Sketch the region enclosed by the curves and find its area y = e", y = e6«, x = 0, x = ln 2 NOTE:…

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Q: Find the area of the region between the curves y = 12 – x and y = x* – 6. Area between curves =

A:

Q: Sketch the region bounded above by the curve 7e- sin(Tx), the x-axis, and x = 1, and find the area…

A: Given,

Q: Find the area of the region enclosed by the curves y = x² and y = 3x by integrating with respect to…

A:

Q: Find the area of the region between the curve y = 6 3-X and the interval 0 sxs2 on the x-axis. 210…

A: Area under a curve: The area under a curve y = f(x) between the points x = a and x = b or over the…

Q: Find area of the region under the curve y=x^3−9 and above the x-axis, for 5≤x≤7. area=

A:

Q: problem in photo attached

A: Given:

Q: Sketch the region enclosed by the curves and find its area. y = e", y = e6", x = 0, x = ln 2 NOTE:…

A: Let's find.

Q: 5) Calculate the area of the region between the curves: y=2-x² and y=x²

A:

Q: 3. Find the area bounded by the curve y 4sin(2x), the x-axis, and the lines x = 0 and x =

A: We have to find the area bounded by the given curves. We will find the area by the help of…

Q: Find the area bounded by the curve y^2 + x - 4y = 5 and the y-axis. Input only the numerical value…

A:

Q: 5) Calculate the area of the region between the curves: y = 2 = x² and y = x²

A: We can find the area as below.

Q: Find the area of the region between the curves y = x and y Vx. Area between curves =

A: Find the intersection point and identify which curve is above and which curve is below and then find…

Q: Find the area between the curve  y = x2 + 10x + 16  and the x-axis from  x = −2 to x = 1.  (Give…

A: To find the area between the curve y=x2+10x+16 and the x-axis from x=-2 to x=1. This is given by…

Q: 1/ Find the area of the region enclosed between the curves y= 2x+10 and y=4x+16 and,x=-2 and x-5?…

A: We use integral to find area bounded by curve and lines

Q: Sketch the region enclosed by the curves and find its area. y = e", y = e0", x = 0, x = ln 2 NOTE:…

A: Given that, y=ex,y=e6x,x=0,x=ln 2

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.