Find the area of the region by bounded by y 4x and y = 2x – 4 by integrating with respect to y. The area = i

Q: Use an iterated integral to find the area of the region. dy dx = y 6r 5- 3 2 1 -1 1 4 6 3. 2. 4.

A: Given:         From the above graph :               We can say that the function is y=x        Area…

Q: Find the area of the region enclosed by the curves y = x and y = 4x by integrating with respect to…

A: The given curves are: y=x2  and   y=4x The region enclosed by these two curves is given as:

Q: Use an iterated integral to find the area of the region. y = 4 - x2 dy dx = y 5- 3 2 1 -1 1 3 -1F 2)

A: The equation of the curves bounding the region are C1: y = 4-x2C2: x = 0C3: x = 2 To evaluate: The…

Q: Graph the region of integration and evaluate the integral f. {(x,y)| 1<x² + y? < 4 and 0 < x < y}.…

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations.

A: First we need to find the x coordinates of the points at which the graphs of the functions…

Q: Express the region as a union of Type I or Type II regions and evaluate the integral ffy dx dy. YA 1…

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Q: Find the area of the region bounded by the given curve: x=e, y=0, y=1/x, y=x2

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

A: Given the equations are y = x32 y = 6x

Q: Evaluate || 5x cos y'dxdy where S is the region bounded by y = 2 and 1 x and the y-axis. 4 y =

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Q: Find the area of the region bounded by y = e* – 1,y = lnx,y = 0 and y = 2, first integrate with…

A: Step 1 :              find area bounded by  y=ex-1…

Q: Use an iterated integral to find the area of the region bounded by the graphs of the eq Vx + vỹ = 3…

A:

Q: Sketch the region enclosed by y=e^3x ,y=e^8x, and x=1. Decide whether to integrate with respect to x…

A: The given two curves and horizontal line

Q: Sketch the region enclosed by 2y=SQRT(5x), y=4, and 2y+3x=8. Decide whether to integrate with…

A: From the geometry..

Q: Find the area of the region (as shown) in two ways. a. By integrating with respect to y. b. Using…

A: a). Required area is,

Q: Sketch the region R of integration and then switch the order of integration for the following…

A:

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. xy =…

A:

Q: Sketch the region R of integration and then switch the order of integration for the following…

A:

Q: Find the area of the region (as shown) in two ways. a. Using integration with respect to x. b. Using…

A: a) Substitute 0 for y1,1 for y, 0 for x1 and 1 for x in m1=y-y1x-x1 to obtain the slope of the first…

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

A: Let f(x)=y=x2      (1)g(x)=y=x          Compare x=x2x2-x=0x(x-1)=0x=0 or x-1=0x=0 or x=1Put value of…

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

A: The given curves are y=36-x2   and   y=x+6. Sketch the region bounded by these two curves as shown…

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

A: The equation is given as , y=49-x2y=x+7 find the area of the region.

Q: Sketch the region enclosed by y = eº y = e⁹, and x = 1. Decide whether to integrate with respect 5x…

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

Q: Use a double integral to find the area of the region bounded by the graphs of the equations. Vx + Vy…

A: Firstly we will find the  the region  and then we will find the limits of x and y

Q: Sketch the bounded region enclosed by y=e^4x,y=e^9x and x=1. Decide whether to integrate with…

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Q: Sketch the region R whose area is given by the iterated integral. L1²5-1² dx dy

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Q: Sketch the region R of integration and switch the order of integration. x2 f(x, y) dy dx 16

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations y =…

A: Consider the following equation of curves: y=x32y=2x Intersection points of curves:…

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. y =…

A: The solution is:

Q: Sketch the bounded region enclosed by y = e3, y = e't and x ,3x 7x =1. Decide whether to integrate…

A:

Q: Sketch the region of integration for the integral 1 dx dz dy. Y 0. Write the five other iterated…

A:

Q: Find the area of the region enclosed by the curves y = x2 and y = 2x by integrating with respect to…

A: The area, A, enclosed by two curves y=f(x) and y=g(x) in the interval a, b is calculated using the…

Q: Find the area of the region enclosed by the curves yY = x2 and y 7x by integrating with respect to…

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Q: Evaluate the double integral. 7x*sin y²dA; Ris the region that is bounded by y = x³, y = -x³, and y…

A: double integral

Q: 1) Write the integral to calculate the surface area of f (x, y) = 100 – x² – y? where z > 19 Include…

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Q: Use an iterated integral to find the area of the region bounded by the graphs of y = 6x ² and y = ²…

A: Topic = Area

Q: Use an iterated integral to find the area of the region. 4 dy dx = 16 y 5 4 2 1 1 3 4 6 3.

A: This question is related to double integral , We will solve it using given information.

Q: y=Va+ 2 -1 21 y = 0

A: This question is based on application of integration.

Q: Determine the area of the region between the two curves in the given figure by integrating over the…

A: We will find the area between the two curves as following

Q: B//Use a double integral to find the area of the region R enclosed between the parabola y = x and…

A:

Q: Sketch the region enclosed by y=e^4x, y=e^9x , and x=1x=1. Decide whether to integrate with respect…

A: Given:   y=e^4x, y=e^9x   x = 1

Q: 13. Find the area of the region enclosed by the following curves in the ways: (i) integrating with…

A: Let us consider the curve f(x) and g(x) then the area bounded by the curve  in the interval [a,b]is…

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. xy =…

A: Area , A = ∫∫R dydx or  ∫∫R dx dy.

Q: Sketch the region enclosed by the given curves and decide whether to integrate with respect to x or…

A: This question can be solved using application of integrals to find area under curves.

Q: Find by double integration the area of the region in xy, plane bounded by the curves y = x2 and y =…

A: Using vertical strip

Q: [[ 12y dA; R is bounded by y = 2-r, y = VT, and y = 0.

A:

Q: Use an appropriate change of variable to evaluate the double integral: dA, y+x cos R where R is in…

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: Sketch the region enclosed by 2y=4 sqrt(x), y=3, and 2y+3x=7. Decide whether to integrate with…

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Q: Sketch the region of integration, and find the best order of integrating, and 4ry dA with R bounded…

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations y = 4…

A: Given: The region bounded by the graphs of the equations y=4-x2, y=x+2.

Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations  2x −…

A: 2x-3y=0,x+y=5,y=0