Calculate the total area of the region described. Do not count area beneath the x-axis as negative. bounded by the curve y = 4Vx, the x-axis, and the lines x = 0 and x = 4

Q: : Find the area of the region in the first quadrant that is bounded above by y x and below by the…

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Q: Find the area of the region bounded by 2x and the y-axis using the horizontal strip. 3 y² +1

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Q: Find the area of the region in the first quadrant that is bounded above by y = √x and below by the…

A: Now the diagrammatic representation of the area is,

Q: Find the total area of the region enclosed by the curve x = y^(2/3) and the lines x = y and y = -1.

A: To determine the area bounded by the curves.

Q: Find the area of the region bounded by the three curves y =x², y = 8 – x², and y = 4x + 12.

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Q: 5 y X a %|

A: The  given curves are , x=y415 , x=y17 is, The curves are : x-y415=0  , x-y17=0x=y15415        ,…

Q: Find the area of the region bounded by the given curves: y = x² y = 4x – 22

A: Given: y=x2, y=4x-x2 For finding area of region bounded by given curves, we draw graph of both…

Q: Find the area of the region enclosed by the line y=4 and the curves y=e^x and y=(x-1)^2

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Q: Determine the area of the region between the following curve. x = |y| and 2x = −y^2 + 2

A: Given that, x = |y| and 2x = −y2 + 2

Q: Find the total area of the region enclosed by the curve x=y^2/3 and the lines x=y and y=−1.

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Q: Find the area of the region bounded by x = and the y-axis using the horizontal strip. 2y²+1

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Q: Find the area of the region enclosed by the curves y = |x² – 4[ and y = 4+

A: We sketch the region using a graphing calculator y=|x2-4| (green)  y=4+ x2/2 (violet)

Q: Find the total area of the region between the curve and the x-axis. 2) y = (x + 1/x; 4 sx s 9

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Q: Find the area of the region enclosed by the line y=4x and the curve y=x³ + 3x².

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Q: Find the total area of the region between the curve and the x-axis. y = 2x +7;1sxs5 O 26 O 52 O 18 O…

A: Given query is to find total area of region bound by the curve with x axis.

Q: Find the total area of the region between the curve and the x-axis. y= 2x-x, 0sx s2 O A. 3 O B. 3.…

A: Explanation: Given that: y=2x-x2 Concept: The area under the curve  A=∫abfxdx here a=0b=2

Q: Find the area of the region that is enclosed between the curves y = x² and y = x + 6.

A: The given curves are, y=x2 and y=x+6. The objective is to find the area of the region that is…

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

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Q: Given the curve y = x´ and the lines y = 0 and y = 2 – x Find the area of the region bounded by the…

A: Given

Q: Find the area of the region bounded by the following curves. y  =  x2 + 4x,     y  =  160 − x2

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Q: Find the area bounded by the curve y=x^2 and the x-axis and the lines x=1 and x=3.

A: Given: y=x2, x=1, x=3, and x-axis or y=0. So, from the given curves the bounded region is as shown…

Q: Find the area of the region bounded by y = 4(x + 2), x = 2 and the x-axis. Answer:

A: Given query is to find the area bounded by the curves.

Q: Find the total area of the region between the curve and the x-axis. 1 : 1sxs4 O A. 4 OB. Oc. 2 1

A: Graph of y=1x looks like following :

Q: Find the area of the region bounded by 2x = and the y-axis using the horizontal strip. 4 y²+1

A: We have to find the area using horizontal strip.

Q: Find the area enclosed by the given curves. y = 2x-x2,y 2x-4 31

A: Explanation of the answer is as follows

Q: Find the area of the region enclosed by the curves x+y=2y^2 and x+y=2

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Q: Calculate the area of the region that lies under thecurve and above the  x-axis. y =1- x2

A: The graphical representation of the area is,

Q: Determine the area of the region enclosed by the curves y=1/x, y=1/x2, and x=9.

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Q: Graph the region bounded by the curves and determine the area of the region. x = y? – 2y; x = 0

A: ANSWER :

Q: Find the total area of the region between the curve and the x-axis. 9) y = (x + 4)3; 0 <x<3

A: The Area Under a curve The area under the curve between two points can be found by a definite…

Q: Find the area of the region bounded by x = the horizontal strip. y²+1 and the y-axis using

A: Find the area of the region bounded by x= 1/(y2+1) and the y-axis using the horizontal strip.

Q: Find the area of the region enclosed by the line y=4x and the curve y= x3 + 3x2

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Q: Find the area A of the portion of the region between the graphs of and y =| x + 2. that lies in the…

A: According to the given information, it is required to determine the area A of the portion of the…

Q: Find the total area of the region between the curve and the x-axis. 7) y = 2x - x2; 0 sx<2

A: Given, The curve  y = 2x-x2   ;  0≤x≤2 We have to find the area of region between the curve and the…

Q: Find the area of the region bounded by the curve y?=4x and the lines x = 1 and x = 4.

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Q: Find the area of the region enclosed by the given curves. y = 13-x2, y=x2-5

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Q: . Find the area bounded by y = (11 – x), the lines 3x=2, x=10, and the x-axis.

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Q: Find the area of the region enclosed by the curves 4x² + y = 4 and x - y = 1.

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Q: Let R be the region enclose by the graphs of y=lnx, the line x=3, and the x-axis. Calculate the…

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Q: Determine the area bounded by the parabola y = x^2, the line y = 6-x, and the x-axis

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Q: Find the area of the region enclosed by the curves y=x-4x and y =-2x.

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Q: Find the area of the region between the curves  y= x2 − 4 and y= 2 − x.

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Q: Sketch the region below the curve y = x – x² and above the x-axis and find its area.

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Q: Find the area of the region enclosed by the curves: y = x' – 2x², y = 2x² – 3x

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Q: find the total area between the region y=3x^2-3, -2&lt; x &lt; 2 and the x axis

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Q: Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

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Q: Given the curve y = x' and the line y = 2 – x. Find the area of the region bounded by the curve and…

A: Area bounded by the curve y=x2 and the line y=2-x

Q: Find the total area of the region between the curve and the x-axis. y = 2x +7;1sxs5 52 26 9. O 18

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Q: Sketch the region enclosed by the curves y = xe¬x², Find the area enclosed by the given curves. `, y…

A: Given: y=xe-x2, y=x+1, x=2 for finding area enclosed by given curve and y-axis, first we draw region…

Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

A: Intersection Points are:  The line x=1 will intersect the x-axis at (1,0) because y is 0 at…