Find the area under the curve ƒ (x) = 6, bounded by the r- aris, r 1 and r 3 %3D Select one: O A. 3 OB. 6 C. 9 O D. 10 E. 12

Q: Find the area under the curve of y = sin x and x = 0 on the interval 0 < x < A. ! В. 1 C. D. 2

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Q: Find the area bounded by the curve 2x² + 4x + y - 0 and the line y+x=0 a. 1.000 b. 1.125 c. 1.525 d.…

A: We will first sketch the curve and the line.

Q: Find the area bounded by the curve ay = x² and the lines y = a and y = 4a.

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Q: outside

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Q: e. Find the area between y = \x and y = vx + 1 , with 0 < x < 4. Sketch the region.

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Q: Find the area under the t-curve to the right of  t = 2.539 (degrees of freedom v =19 )

A: It is given that the t value is 2.539 and the test is right tail.

Q: ind the area under the given curve over the indicated interval. 15) y =ex; [1, 2] 4. 3. 2 A) e2 -e…

A: We have to find the area under the curve.

Q: Find the area bounded by the curve 2x² + 4x + y − 0 and the line y + x = 0 a. 1.000 b. 1.125 c.…

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Q: Find the area enclosed by the curves y = c − x2 and y = x2 − c as a function of c. Find the value of…

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Q: Find the area of the region bounded by y = sin? x & y = sin³ x for 0 < x < T.

A: 1/6(3Pi-8)

Q: A Find the area bounded by y = e*, y = xe*² & x = 0.

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: c) Find the area enclosed between the curve y = cos? x and the line y = 1: r = 1 cos r

A: This question is based on application of Integration.

Q: What is the area bounded by the curve z = tany and the y-axis from y = to y =}? 18 (P+0)(--+36) O n3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: ind the moment with respect to x = 2a the area bounded by x = 2y and x2 4ay.

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Q: 3.) Find the area bounded by the curve y? = 2x and y =x-4 a.) Using Vertical strips b.) Using…

A: Given: The equation of the curve y2=2x andy=x-4. to find the area bounded by the curve using…

Q: Find the area of the region bounded by the given curves. y = sin?(x), y = sin°(x), o SXST

A: y=sin2x, y=sin3x,   0≤x≤π Now the diagrammatic representation of the area is,

Q: Find the area enclosed by the x-axis and the curve x = 4 + e*, y = t – t2.

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Q: Let f (x) = csc x cot x. Compute the area A of the region between the graph of f and the x axis on…

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Q: Q4/a) Find the area of the region in the first quadrant bounded by the line y=x, the line x-2, the…

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Q: Find the area under the curve y 12 over the interval [ – 1, 1]. %3D (x + 2)² area = i

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Q: Find the area bounded by the function f(x) = 0.3x³ – 1.2a? + 17 6. Round to 2 decimal places, if…

A: We first sketch the region using a graphing calculator.

Q: Find the approximate area under the curve of f (x) =x+1 from x = 0 to x = 2, using 4 left-endpoint…

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Q: Find the area of the region between the curve 1 6t = - e and the x-axis from t = 0 to 7 A) 7 x = et…

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Q: Approximate the area under the curve y = f(z) graphed below from z = 0 to z = 6 with 4 sub-intervals…

A: The graph of y=f(x) is given from x=0 to x=6 To find L4,  M4,   C4     Note: With respect to our…

Q: Find the area bounded by the curve 2x² + 4x + y - 0 and the line y+x=0 a. 1.000 b. 1.125 c. 1.525 d.…

A: First we draw the graph,

Q: Find the area イA Sorfrca of Sivon By F(K, )=4+x ty? over the region bounded by Y: 7ービ と

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Q: Find the area bounded by the curves: y%3D +y=5, and a 0. +2 This area is in the fourth quadrant O-In…

A: Given:    y = -3x/x2+2    x2 + y2 = 5  The area is in fourth quadrant

Q: Compute the area enclosed by the curve r = 30 – 1 for 0 <o<T. O ² – m) - O T² – - T Зл3 — Зт? + я O…

A: Area enclosed by a curve is given by- A=∫ab12r2θdθ In the given curve, r=3θ-1,a=0,b=π Then,…

Q: Find the area bounded by the curves y = 6 – x² and y = 8 – 3x. 1 а) 1 b) c) d) 12 e) 12 -/3

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Q: Find the area of the region bounded by the given curve: r = 3e° on the interval T <o< 2n.

A: We have to find the area of the region bounded by the given curve r=3eθ on the interval 63π≤θ≤2π.

Q: Find the area between y = vxand y = Vx+1, with 0<x<4. Sketch the region. e.

A: As per the company's guidelines we are subjected to solve only one question. Please repost the other…

Q: ind the area bounded by the curve y²=4x, the lines x=1 and x=4.

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Q: e. Find the area between y = Vx and y = Vx + 1, with 0 < x < 4. Sketch the region.

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Q: y = e", y = xe and x = 0

A: The region bounded by the given curve is:

Q: Find the area bounded by the curve c²y=x³, the x – axis, and the line x =2c.

A: We find the area bounded by the curve using the integration. Before finding the area, first, we will…

Q: Find the area between the curves y = e and y = ex (shown below) from x = 0 to x = 2. (Leave the…

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Q: Find the area enclosed by the x-axis and the curve x = 1 + e t , y =t-t2.

A: find explanation below

Q: Find the area of the region bounded by the given curve: r = 9e° on the interval 9

A: Given a curve : r=9eθ We need to find the area of the region bounded by the given curve on the…

Q: Approximate the area under the curve y = T° from = 0 to T = 3 using a Right Endpoint approximation…

A: Riemann sum

Q: Find the area obtain when the curve f(x) = x² - In r, for 1 <a< 3, is rotated about the y-axis.

A: The area obtained when the f(x) is rotated about the y-axis is given as: where a is the lower limit…

Q: Find the area of the region bounded by the following curves: the x-axis, r= 0 and x V3. y =…

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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 29, and t=2.462

Q: Find the area of the region bounded by the given curve: r = 9e" on the interval

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Q: Find the area of the region bounded by the given curve: r = 3e° %3D 4 on the interval <O< 27.

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Q: Find the area under the curve f(1) = r' o I = [– 0.5, 4.5] using the M %3D

A: Introduction: The formula for the mid-point rule for a continuous function f(x) on a,b is given by,…

Q: y = sinx from x=0 to x=n

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Q: A Find the area bounded by y = e*, y = xe* &x = 0.

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Q: Find the area of the region bounded by the given curve:r = 5e 2 on the interval

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Q: Find the area bounded by the function f(x) = 0.3x³ – 1.3x² + 13 9. Round to 2 decimal places, if…

A: Given function f(x)= 0.3x3-1.3x2+13 and lines X=2,X=9 Now we will find the area as shown below

Q: Find the area bounded by the given curves. y = x², y = 2x² - 3x A. 9.0 sq. units B. 40 so units CAF

A: We have to find area

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.