Choose the area of the region enclosed by the curves -6 4x 0 x=0, x=6, y = 4x², y = 4x. 4x2 6 SO SAX ² 0 4x So 0 dydx 1 4x dydx dydx 4x2 S₁ S²x² 4x dydx O None of the others

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Q: 3. Find the area of the region bounded by y = x², y = 8 - x² and y = 4x + 12.

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A: The given equations: This can be rewritten as, To find the area bounded by the above equations:…

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A: We need to find the area bounded by the curves is : Area=∬Rdydx

Q: A certain population is known to be growing at a rate given by the logistic equation = x(b – ax).…

A: Firstly find critical points. After that find second derivative , If second derivative less than…

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: Q5// Sketch and Find the area of the region enclosed by y = √√x and y = ³√√x.

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Q: (14, 2) (3714, 2) y = csc2x 4 4

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Q: Determine the area of the region enclosed by the Y-2x = -1 and 4 = x ² = 4x+4. Do not simplity…

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Q: 1) Sketch the region bounded by y = 1– x and y = x2 – x and find the area of this region. 2) Sketch…

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Q: 2. Find the area of the region bounded by y = 2x² +10, y = 4x+16, x = -2, and x = 5.

A: first draw bounded region then find limit of region and using vertical strips find the area

Q: find the area of the shaded region

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

A: Given curves are x=42y2+1 and y-axis.