(4x - y) dA, where R is the region in the first quadrant enclosed by the circle x2 + y2 = 16 and the lines x = 0 and y = x

Q: (2x – y) dA, where R is the region in the first quadrant enclosed by the circle x² + y² = 4 and the…

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Q: Find the area of the region blinded by the graphs of the given equations. y=6x, y=x2

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Q: Find the total area of the shaded region. y = 4 2- y=4 cos2x 1/2 31/2 2.

A: Area between two curves can be found by integration as shown in next step

Q: b) xy dA, where D C R² is the region of the 1st quadrant limited by the circle x2 + y? = 4 D and by…

A: Solution:

Q: 2- SS, xy dA {(r, 0)|0 <r < 1, | and the region in the first quadrant }

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Q: Describe in words the region in R° represented by the equation x2 + y² + z² < 0.

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Q: Q3:B/ Find the areas of the regions enclosed by the line and the curve y = x* – 4x? + 4 and y = x?

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Q: Find the area bounded by the curve y=x³x²+3x and the line y=x. 16 (A) 8 square units (B) 4 square…

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Q: Let R be the region in the fourth quadrant bounded below by the parabola y=x²-3 and above by the…

A: Use double integral

Q: 1₂x (x + y) dA, where R is the region that lies to the right of the y-axis between the circles x² +…

A: We have to evaluate the integral.

Q: of the region in the first quadrant that is boun d below by the x-axis and the line y=x-2

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square…

A: Given the curve y2=4x and the lines x=1 and x=4

Q: Find the areas of the shaded regions

A: The area of the shaded region of the left is:

Q: (b) S[3ydA where R is the region in the first quadrant enclosed by (x-2)° +y° =4 and y=x.

A: Let's Solve,

Q: 3. Find the area of the region bounded by the parabola y? = 2x – x and the line y = x – 5 by taking…

A: We have equation of parabola  y2=2x-xy2=x                                                     ……(1)…

Q: Find the area of the region bounded by the curve y2=4xr and the lines x = 1 and x = 4. 24 square…

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Q: 6y² -dA where D is the region in the 1st quadrant bounded by y =x' and y= 4x . Evaluate 9.

A: Here we have to evaluate the  integral of a function over a region.

Q: Find the area of the triangle bounded by the lines y = x, y = -x, and y = 6?

A: The given equations of the lines are y=x, y=-x and y=6. Draw these lines and obtain the bounded…

Q: R is the region between the curve y3x and the line y= 9x, for x 0.

A:

Q: In the given question  find b such that the line y b divides the region bounded by the graphs of the…

A: Given :           Equation of curves as :                  y = 9 - x , y = 0 Formula :           A =…

Q: Using the vertical element to find the area of the plane region bounded by the curve y = 1/x and the…

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Q: B\\ Find the area of the region enclosed by the parabola y = x? – 2 and the line y = 2x + 1.

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Q: Find the area A of the region between the graphs of the equations y? = 9x x2 = 9y A = 27 9.

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Q: In the figure, the two straight lines L;:x- 3y + 18 = 0 and L:5x- 3y+ k = 0 intersect at P. L, cuts…

A: 38. Given: L1: x-3y+18=0, L2:5x-3y+k=0 a) Let the coordinates of A and B be 0,m and -m,0…

Q: Find the area of a triangle bounded by the y axis, the line f(z) 1 z, and the line perpendicular to…

A: Area of triangle = (1/2)*base*height

Q: Find the area of the shaded region. y = X - 3 (16,1) 16 (e,-3)

A: We first find where the curve cuts the x-axis

Q: Determine the area of the shaded region given the following figure. x- 3y 16 x=y2 -4 -8-

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Q: The area of the region enclosed by the r-axis, the curve y = f(x) > 0, and the lines æ = b and r =…

A: Newton Leibniz formula : Suppose h(x) and g(x) are differentiable function of x then ,

Q: N. (2 Y - x ) dA,where R is the region of the first quadrant bounded by the circle x2 + y? = 4 and…

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Q: (y – 2x2)dA where R is the region bounded by the square R 2: Evaluate - |x| + \y| = 1.

A: Solution is given below:

Q: The shaded region between the graphs of y = -2x + 20 and y = 3z- 15 is displayed below in 25 H

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Q: The area of the region between the graph of y 4z+2 and the x-axis fromx=1 to x 2 is 36 B 23 C 20 D…

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Q: 2 Find the area of the region bounded by the curve y2 =4x and the lines x = 1 and x = 4. A. 24…

A: Given y2=4x X=1 and x=4

Q: 23. The diagram shows the curve y = x2 – 6x – 2 and the line y32x-9, which intersect when x=1 and…

A:

Q: Evaluate // xye-(x-+y") dA where D is the region between the two circles x2 + y² = 1 and x2 + y² = 9…

A: Consider the given integral, The region D is a bounded region between the circle of radius 1 and 3.…

Q: | x² – y° dA where R is the region in the first quadrant enclosed by the circle x² +y² = 4 and the…

A:

Q: b) Find the area of the shaded region. 1) ii) アー =-y 2Fx=2-

A: 1. Required area is, ∫04x dx+∫04-14x dx=∫04x12 dx+14∫04x dx=x323204+14x2204=23432-0+148-0=238+2=223

Q: Find the area.

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Q: 3) Find the area of the region bounded by the lines y = 0, 2x = 3y, 3x = -4y + 10, and y + 3 = (x -…

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Q: a) Find the area of the shaded region. 1) ii) y= T 2x=2-

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Q: 4. Evaluate ff(2x- y²)dA over the triangular region Renclosed between the lines y =-x+1, y=x+1, and…

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Q: and the 24. Find the area of the region bounded by the curve y=1- 9. X-аxis. A. 6 square units В. о…

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Q: The region in the first quadrant bounded above by the parabola y = x ^ 2 below by the x -axis, and…

A: Follow the steps.

Q: For what values of m do the line y = mx and the curve y = x/(x² + 1) enclose a region? Find the area…

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Q: Q2) Find the distance between the line y= - (x+2) & the center of the circle y+x-4(x+ y)= 9…

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Q: If R is the region in the first quadrant bounded by r-axis, y = }a² and a + 2y = 2, evaluate 1. a…

A: In this question , Firstly we can draw the given region R and find where the 'x' and 'y' limits vary…

Q: 10) Find ff, (x + y) dA where R is the region in the first quadrant bounded by x2 + y2 = 4, y = x…

A: x2+y2= 4 is a eqn of a circle having center at (0, 0) and radius is 4y = x is the eqn of a straight…

Q: Describe in words the region in R° represented by the equation x2 + y² + 2y + z² < 3

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Q: Graph the equations and shade the area of the region between the curves. у %3 12 — х, у %3DVx, and y…

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Q: Evaluate y°dx – a*dy, where C' is the boundary of the region between the circles a + y = 4 and a + y…

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