IL ^y,P ^z ] [P ^y,L ^z ] %3D ulgn O İhi O II

Q: The area between the two curves in the picture is

A: GIven functions are, y1=4y2=x2The given graphs are symmetric about y axis.The points of intersection…

Q: What does the integral dydx represent?

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Q: Find its area.   y = 3/x,    y = 12x,    y = 1x/3,    x > 0

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Q: Determine the area of the shaded region. 2.1 +2x 3.1 4.1 y-2x- y-2-

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Q: Find the area between the curves (x^2)-(y^2)=9 and the line y=2x-6

A: Recall: Area between two curves:          A=∫abf(x)-g(x) dx           OrA= ∫abUpper function-(Lower…

Q: Find the area of the shaded region. y-2 y- 2áin(rox)

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Q: -Svau Using Integration By Parts, x Arcsec 3x dx = uv- - Svau- Find uv- x² Arcsec 3x dx V9x2 – 1 o 1…

A: Here we have to solve the integration by using integration by parts.

Q: Define centroid.

A: To write the definition of the centroid Centroid: The centroid is the center point in which the…

Q: How do you find area under the curve?

A: y=12cosh(2x)

Q: Please show integration process. Is this the correct combination?

A: Solution

Q: Integrate using u-substitution or the GENERAL POWER RULE

A: To find: ∫cos4y2siny2dy ∫x3-xdx ∫θ-1ln3θ+2ln2θ +lnθ dθ We know that  ∫xndx=xn+1n+1

Q: Find the area between the curves. 3x х%3 -2, х%34, у%33е3X, у%3D2е 3X +1

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Q: Find the area of the shaded region. 6- 5- 4 3 1- 4 -3 -2 -1 4 3

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Q: What is the area between y = 0, y = 3x2, x=0, x = 2?

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Q: Integrate using the fundamental theorem of calculus

A: Our Aim is to evaluate the integral given below using Fundamental Theoem of Calculus.∫01x4+12 dx…

Q: Determine the x-and y-coordinates of the centroid of the shaded area. 9" 6" y 3" ブ →

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Q: Solve by integration and please show graph: Find the centroid of the region bounded by the x-axis…

A: Given a curve y=-16+10x-x2 we need to find its find its bounds by equating y to zero. Thus we have…

Q: Find the centroid of the triangular region cut from the first quadrant by the line x + y = 3.

A: We will find the x and y-intercept of the triangle.  To find x-intercept we plug y=0 and find x…

Q: FIND THE CENTROID OF THE REGION IN THE FIRST QUADRANT BOUNDED BY THE GRAPH OF y=9-x2, THE X-AXIS,…

A: Given region is bounded by the graph of  y=9-x2, The X-axis and Y-axis

Q: Find the area of teh region bounded by y=5x/x2+2, x=1, x=5, y=0. Sketch the graph

A: We graph the region using a graphing calculator.

Q: Expand Fourier function inthe rauge Co) %3D

A: Given that f(t)=cos2t where the period is π2. The fourier series is of the…

Q: ded by the curve or line: y2+4x-8=0, Y

A: Given that: The equation of the curve y2 + 4x - 8 = 0. The equation of the line y = 2x.

Q: Find the total area of the shaded region. 10- y = 8 6- 4- y=8 cosx 2- 1/2 元 Зл/2

A: Given curve y=8cos2x  liney=8

Q: Find the area between the curves. x = -5, x=2, y = 3x, y = x² - 4

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: Find the centroid of the region cut from the first quadrant by the circle x +y =

A: Given x2 + y2 = 81 y=81-x2 Area of Quadrant(A) = πr24                              A  = 81π4

Q: Determine the area enclosed by the curves y=-x² + 4x and y =-x +4. Draw a sketch of the graphs on…

A: The given curves are: y=-x2+4x and y=-x+4

Q: The area of the region bounded by x = /9-y', the y-axis and the line x-y in the first quadrant is:

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Q: Use substitution and partial fractions to find the indefinite integral.

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Q: Show complete solution (with graph). 1. Determine the centroid of the area bounded by the y − axis,…

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Q: Find the area between the curves. x = - 2 , x = 1 , y = 3x , y = x 2 - 4.

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Q: 10 de . 4+3cose Integrate

A: To evaluate the given definite integral.

Q: Find the centroid of the region cut from the first quadrant by the circle x +y = 1.

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Q: h -y =

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Q: Scos* y sin ydy

A: Given problem:- ∫ cos4(y/2)sin(y/2) dy

Q: \ Calculate the double integral

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Q: Find the area of the shaded region. Ay 81- y= 81-x 63- 45- 27- 9- -9 -7 -5 -3 -9 1 3 5 7 9 11 -27-…

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Q: Find the area of the shaded region. (9,3) x = y2 (0,0) (9,-3)

A: Using horizonal strip Established double integral

Q: calculate without integration by parts

A:

Q: Regions under the curve can be described in terms of area. True or False

A: We want to tell you above statement is true or false

Q: find signed area for (x2 - 2x) dx -1 3

A:

Q: Find the integral: Ste 72 dt

A: Consider the integral is, I=∫te-7t2dt Then, consider the value of u=-7t2 then, du/dt=-14t and…

Q: Integrate: (7x³ + 4x²) dx

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Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

A: To find the work done.

Q: Determine the area enclosed by the curves y =-x + 4x and y =-x+4. Draw a sketch of the graphs on the…

A: The shaded region represents the region enclosed by the given two curves.

Q: calculate SET dydx changing the order of integration

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Q: evaluate the integra (2 - 3x) dx

A: The answer of this integral is -20.

Q: Integrate

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Q: sketch , EvValuate & reverse order af integration de dy

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Q: how do I determine the area under a curve?

A: