20. Find the area of the shaded region for the function. 1 y = V4-x2 3- 2- * b. 똥 5T d. 3 a. е. 6. с. 6.

Q: 1. Find the area of the shaded region. 3 y = Vx X 4 y = -x а.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

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: How many individual areas in the total area bounded by the curve y=x - 3x +2x and by the x-axis from…

A: first we plot the given region then decide how many areas exist

Q: Find the area bounded by the curves 5y^2 = 16x and the curve y^2 = 8x – 24

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Q: 3 Find the area under the curve y over the interval [0, 4]. (2x + 5)? Enter the exact answer. area =

A:

Q: Approximate the area under the t - curve, with degrees of freedom 29, to the right of t = 2.462…

A: The degrees of freedom is 29.

Q: 2. FIND THE AREA BOUNIDE O BY 2 y= x (2,4) and the X- axis THE CURVE

A: The given curve is: y=x2      .........(1)We have to find the area bounded by the curve y=x2, (2,4)…

Q: 19) The region in the first quadrant bounded on the left by the circle x2 + y2 = 1, on the right by…

A:

Q: Find the area between the curve y = 6x – 2x and the x-axis between x 1, and x = 3. ||

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Q: 10. Find the area between y = 3x²+14 and y = 4x + 2 over the interval [-2 , 2]

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Q: 15 Find the exact area enclosed between the curve y = v4 – x and the line r-y+2 0.

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Q: Find the area between the curves. y = x2 − 2x + 7 and y = x2 + 8 from x = 0 to x=6

A: Let fx=y=x2-2x+7 and gx=y=x2+8. First, we will find the intersection point of both the curves…

Q: 6. Find the area between the curve y = x(x - 3) and the ordinates x = 0 andx = 5.

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Q: Find the area between the curve of y = x + 2 and the x-axis on the inter 4 ਆਗੂਆਂ 2 4 -2- O O O 27 4…

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

Q: 5. Find the area between the curve y, =x² - 4x +12 and y, = x² from 0<x<4

A: Given curves are y1=x2-4x+12y2=x2 Also 0≤x≤4

Q: Determine the area to the left of g(y) = 3-y2 and to the right of x = -1

A: Area

Q: Find the area under the curve y = 5 over the interval [0, 1]. (4x + 4)2 Enter the exact answer. area…

A:

Q: 2) Find the area between the curve y ? = 2x – 5 and the line y = x – 4.

A:

Q: 2. Find the area between the curve y = 3x2 + 2 and the line y = 2 * x- 3 from x = 0 to x = 3. Answer…

A: To find the area enclosed by the curves y=3x2+2 &amp; y=2x-3 from x=0 to x=3.

Q: 8 Estimate the area under a curve over the interval -2 < x < 0 with the x and y values given in the…

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Q: # 8) Find the area under the curve. y 4-x

A:

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: Find the area between y=x+3 and y=x^2+1

A:

Q: 3. Find the area bounded by the curve ay² = r8 and the line * = 4 a. Ans. 142 a².

A: Find the area bounded by the curve.

Q: 1. Find the area between the curve y=x²+2 and the x-axis, between x=1 to x=3

A:

Q: 1/ Find the area of the region enclosed between the curves y= 2r²+10 and y=4x+16 and ,x=-2 and x-5?…

A: Given          y=2x2+10    and  y= 4x+16,   x=-2 and   x=5.

Q: Find the area between the curve and the x axis over the indicated interval. y=8/x; [1,7]

A: We will use integration to find area under the curve

Q: 7 - over the interval [1, 5] Find the area under the curve y

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Q: 8. Find the area between the curves y = x x² and y = x2 – 4x between x = O and x = 2.

A: For calculating the area between curves first of all we will draw the schematic diagram of the…

Q: 2. Find the area between the curve y = x3 – 6x2 + 8x and the x-axis.

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Q: The area between the curve y = = and the x-axis from x = 10 to x = 20 is the same as the area…

A:

Q: 2 Find the area of a triangle bounded by the y axis, the line f(x) = 8 – -x, and the line…

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Q: Find the area of the region bounded by y = 13 / (49 − x2) and y = 1.

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Q: 10. Find the area bounded by the curve x = y² + 2y and the line x = 3.

A: Area Bounded by the Curves : If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y), then…

Q: 4/2 x2 -1 for [0, 1]. Find the length of the curve y=- Find the area of the curve bounded by the…

A: (7)We will find the length of the curve.

Q: 4. Find the area between the curves y = x2(x – 3) and y2 + 8y – 16x + 48 = 0

A:

Q: 1. Find the area under the curve of y on the interval [1, 4).

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Q: . Find the area bounded by y = (11 – x), the lines 3x=2, x=10, and the x-axis.

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Q: The area between the curve y = - and the x-axis from x = 10 to x = 20 is the same as the area…

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

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Q: Find the area between the curve and the x axis over the indicated interval. Y=4-x square; [-2,2|

A: Given: Y=4-x2 to find out: area between the curve and the x -axis over the interval [-2,2]

Q: 3 Find the area under the curve y over the interval [3, 8] (4x + 2)?

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Q: 2 Find the area between the curves y= 2x +6x+1 and y =-x +3x+7 over the interval [-4,10]. Draw the…

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Q: Find the area between the y-axis and the graph X = /y on the interval 1, 4]. 4 3- 2- -1 0 1 2 3 O 16…

A: The given question has been solved in detail and option (c) 14/3 is the correct answer.

Q: The positive number c for which the curve yd- divides the area under the curve y 2209- from O to 47…

A: Given

Q: Find the area bounded by the given curves. y = 4x3 + 5 and y = 4x + 5        square units

A: We first sketch the area using a graphing calculator  There are two areas. They are symmetric. So…

Q: Compute the area bounded by the curve y = x2 + 3, the x-axis and the ordinates x = 1; = 4.

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Q: The area under the curve y =3/x over the interval [1.4]is equal to: 14

A:

Q: 4 Find the area bounded by the curve y = the x - axis, and the vertical lines x = -2 x²+4 and x = 2.

A:

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.