Use Green's Theorem to evaluate L.F. C Calculator F = √+4y, 2x + 4y) C is the boundary of the region enclosed by y = 3x - x² and the x-axis (oriented positively). Check Answer F-nds, where

Q: Using the midpoint rule, estimate the area under the graph of the function 15- f(x) = 4 – x between…

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Q: Q: Interpret the vate of change f y = (-2 Jn=+1 + 5) (45 -2) with Yespect to

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Q: (x- 2y) dA on the parallelogram P bounded by y = 5 – 2x, y = 7- 2x, y = 3x – 6, and y = 3x + 2. Use…

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Q: 6. Find the area of the surface generated when y = v4x + 6 is revolved about the x- axis on the…

A: 80π

Q: 3. Let R be the region below bounded by the parabola y = 4 - x² and the lines 3x-2y+3=0 and y = 0.…

A: Given that,  R be the region bounded by y=4-x2 and 3x-2y+3=0 and y=0. (a) Divided  the region in two…

Q: What are the right and left endpoints if [2, 5] is divided into six subintervals?

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Q: write an equatun q the une passes through (4.5, -li6) and' is per pendiaular to he wie dyfined by 5x…

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Q: Let R be the rectangular region with (1,2) , (2,3) , (3,2) and (2,1) as corners. Use change of…

A: Changing the variables

Q: 1 Set up and evaluate , 6x dA, where R is the rectangular region with corners (-2, 0), (3,0), (-2,…

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Q: Transform the following point, using the given rule: (-3,8) Rule: (x,y)-> (x-8, y+2)

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: Find the area of the surface S defined by z = xy and x² + y² ≤ 3. (Use syntax like 2*pi/3)

A: (.)  Given ,  Area of the surface S defined by z=xy and x2+y2≤3 .   If  z=f(x,y) ∀ (x,y)∈R  the…

Q: The shortest distance from (−7,6,−8) to the xy-plane is

A: Since the plane is a xy-plane so, the point will be (-7,6,0).

Q: Find the area of the shaded region given below. y = √√√=x+4 y = √√x + 4 neg y = x² + 4 x = y² -6y +8…

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Q: Thank you for your help. I don't understand the red and blue lines on the graph. Find the area…

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Q: b\ Find the domain of the functions: (1) y = (2) y = = (3)f(x) =

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Q: y = x2-4r + 5 y y=x +5

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Q: 3. (a) Find the coordinates of the points: A, B and C in the figure. A (b) Find the areas of the…

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Q: Use calculus to show that the maximum possible area of a triangle with one vertex at (0, 0) and the…

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Q: Jse Lagrange multipliers to determine all points on the graph of 3x2 + 2y² -z = 0 nearest the point…

A: To Find: All points on the graph of 3x2+2y2-z=0 that are nearest to (0,0,2) using Lagrange…

Q: The diagram shows a rectangle OABC with part of the line y =x+1 and the curve y =| that intersect at…

A: The point B and P are the intersection of the curve y=x-12 and the line y=x+1. Solve the…

Q: The base of a three-dimensional figure is bound by the line y = 4 - x on the interval [-1, 2].…

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Q: Estimate the area between the x-axis and the graph of f(x) = 9 - x² over the interval [-1,2] by…

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Q: Use cross products to find the area of the quadrilateral in the xy-plane defined by (0, 0), (1, -1),…

A: The quadrilateral is formed by the vertices in the xy-plane defined by 0, 0, 1,-1, 3, 1, and 2, 8.…