Find the total aned neguon beween x-axis and the grauph y==x2-3x,-7sx52

Q: Find the value of Z such that the proportion of the area. 1. Between Z-scores is 0.7000 2. To the…

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

Q: Find the value of Z such that the proportion of the area. 2. To the right of Z-score is 0.5500 3. To…

A: We have given that the proportion of the area.

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

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Q: 5. Find the area bounded by the curves y = x4 – 4x2 + 4 and y = x2. -2

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Q: What is the area of the region bounded by the parabola y = x2 - x - 6 and the line y = -4. Round…

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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: The area bounded by y = x2 + 5 and the caxis from x = 0 to a = 5 is

A: given, and the x-axis from x = 0 to x = 5 we have to find area bounded by .

Q: Find the area under the curve y = - over the interval [4, 9]. (4x + 2)² Enter the exact answer. area…

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Q: 2. Find the area of the region bounded by the curve y = x^3 − 2x^2 − 5 x + 6, the x-axis, and the…

A: Given: y=x3-2x2-5x+6 For finding area of region bounded by given curve with x-axis and the lines…

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: rea of the region enclosed by

A: we have to find the area of the region bounded by the curve, y=2-x2 .....(1) and the line y=-x

Q: Find the area bounded by the ff. curves and lines: a. x^2 - y^2= 9 and y= 2x - 6

A: x2-y2=9  &  y=2x-6 The diagrammatic representation of the area is,

Q: у 3 4/x, у-4y + 2х %3D 5 2x = 5

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Q: Find the area of the finite region in the first quadrant bounded above by y=4 and below by y=4x^3

A: Given,

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?…

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Q: I. FIND THE AREA BOUNDED BY THE FF CURVES AND LINES: 1. The loop of y = x *(4 - x) 2. у %3 бх - х, y…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Approximate the area between f (x) = x² + 6x + 5 and the x -axis on the interval [0, 2] using 4…

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Q: . Find the area of the region bounded by the curves y = 2x? - 8x + 12 and y = -2x+ 12.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find Mx and My for the first-quadrant area bounded by y2 = 4x, the x-axis and x = 4. (ans: 16,…

A: Given the first-quadrant area bounded by y2=4x, the x-axis and x = 4.

Q: Find the area of the region bounded by the curves, x = -6, x = 6, - axis and the parabola x2 – 4y –…

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Q: What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis from…

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Q: The area bounded by the curve y = 6x , the x-axis and the ordinates x = = 0, x = 2 is 6 O 3 O 12 O…

A: area bounded by curve and x axis given by integrating curve

Q: Find the area bounded by the curve y = 3x²/4 and the lin 3x – 2y + 12 = 0.

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Q: Find the area of the region bounded by f(x) =|x^2−5x+ 6|, the x-axis, and the lines x=1 and x= 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: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Find the area of the region bounded by el MQ4.3.png f (x) — aVbx — с the x -axis and the line x = 13…

A: Given fx=abx-c where a=4.1, b=4, c=6

Q: 2. Find the area of the region enclosed by the parabola y = 2 - x² and the line y = -X.

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Q: What is the area of the region between y=x²-2x-3 and the x-axis from to 6? x=0

A: Area bounded by the curve fx=x2-2x-3 and x-axis on interval 0, 6

Q: Find the Area below f(x) = -x² + 4x and above g(x) = x² – 6x +5 over the interval 1 siS4. 3

A: Given    fx = -x2+4x   gx = x2-6x+5Find out area in interval 1≤x≤4Area = ∫14fx-gxdx          =…

Q: Find the area of the region bounded to the right by x = y + 2 and to the left by x = y². 543-2 1…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: Find the area of the region bound by the curves x=20-5y^2 and x=5y^2-20. (exact answer needed)

A: Consider the graphical representation for both the curves.

Q: Find the area under the curve y = - - over the interval [4, 9]. (4x + 2)² Enter the exact answer.…

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Q: Find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -x.

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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: Find the area enclosed by the given curves. y = 2x-x2,y 2x-4 31

A: Explanation of the answer is as follows

Q: How can I find the area between the curves?  x=y2-1, x=1-y2

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Q: Find the area between the curves x=63-7y^2 and x=7y^2-63

A: Here two curves are given and we need to find the area between them. The curve equations are shown…

Q: - Determine the area bounded by the curves y = -1² – 16x + 80 and y = (x – 4)°.

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Q: Find the area under the curve of y = x+3 fiom =-3 to x= 1 with and circumsaribed rectangles. O 26…

A: We need to find area under curve.

Q: What is the area of the region between y=x²-2x-3 and the x-axis from x=0 to x=4? H

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Q: Is it possible to get the area between y2 = 3x and y = x3, using  a. vertical strips b. horizontal…

A: Given  The equations are y2=3x  and  y=x3 .     Formula :- Area under the curve  a) vertical strip…

Q: 3. Find the area bounded by the curve y = x² - 7x + 6 and the x-axis and the ordinates x 2 and x =…

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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: Find the area between the graph of y = x² – 2 and the x-axis, between x 0 and x = 4. %3D

A: Use integration to find the area.

Q: 2. Find the area of the region enclosed by the parabola y = 2 – x² and the line y = -x.

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Q: Find the area under the curve y = over the interval [4, 7]. (4x + 3)2 Enter the exact answer. area =

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

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.