7. Find the area bounded by the curve y = x² + x + 4, the x-axis and the ordinates x = 1 and x = 3.

Q: 2. Find the area bounded by the curves y = x² and y = 2 – x².

A:

Q: 6. Find the area bounded by the curve 2y² + 4x + y = 0 and the line y = 2x.

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Q: 5. Find the area bounded by the curves y = x4 – 4x2 + 4 and y = x2. -2

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Q: Compute the area bounded by the curve y = 3x - x2, the x-axis and the ordinates x = 2; x = 4.

A: We need to evaluate the area bounded by the following curve : C1 : y = 3x-x2 C2 : x -axis C3  : x =…

Q: Find the area bounded by the curve x^2 + 4y - 8 = 0, the x - axis, and the lines x = 3 and = 5

A:

Q: 5. Find the area bounded by the lines y = X = è áñd x = 2è.

A:

Q: 2. Find the area bounded by the two curves y=x²-6x²+ 8x and y = x² - 4x.

A:

Q: 2. Find the area of the region bounded by the curve y = x^3 − 2x^2 − 5 x + 6, the x-axis, and the…

A: Given: y=x3-2x2-5x+6 For finding area of region bounded by given curve with x-axis and the lines…

Q: 3. Find the area bounded by the curves x2 + y = 0 and 2x + y + 3 = 0.

A:

Q: Find the area bounded by the ff. curves and lines: a. x^2 - y^2= 9 and y= 2x - 6

A: x2-y2=9  &  y=2x-6 The diagrammatic representation of the area is,

Q: 2. Find the area bounded by the two curves y = x² - 6x²+ 8x and y = x² - 4x.

A: We have to compute the area between the given curves using the double integration method by first…

Q: 7. Find the area bounded by the curve y = 4x - x^2 and the lines x = 0 and y = 4.

A:

Q: I. FIND THE AREA BOUNDED BY THE FF CURVES AND LINES: 1. The loop of y = x *(4 - x) 2. у %3 бх - х, y…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find the area bounded by the curve y = x² and the x-axis and the ordinates x = 1 and x = 3

A:

Q: 1. Determine the area bounded by curves y = -x² + 4x + 3 and y = −x³ + 7x² − 10x + 5 over the…

A: We have to find the area bounded by the curves.

Q: Find the area bounded by the line f(x)=2x+2, the curve G(x)=X^2-6X +9 and the two vertical lines X=1…

A: Given:       fx=2x+2        gx=x2-6x+9        x=1,x=5 Area bounded by line and curve is:…

Q: B) Find the area bounded by y = 2x²+10, y = 4x +16, x = -3 and x = 6.

A:

Q: 1. Find the area bounded between the curves: y = x°, x = 1, and y -8

A:

Q: 1. Find the total area bounded by the curves y=x²-3x and y = x³ + x² −12x.

A: Given Graphs y=x2-3xy=x3+x2-12x First we find point of intersection of graphs…

Q: Find the area bounded by the curve y=11+5x+x^2 and x-axis from x=−3 to x=−1

A:

Q: 1 Find the area bounded by the curve y=- =-=-—-—-x³-3³² x ² + 16 4 -x2 + 3x and the line y=x.

A:

Q: 3) Find the area bounded by the curves: x² – 4x + 1 = 3y and x2 + 2x + 2y – 5 = 0.

A:

Q: 2. Find the area bounded by the curves y = x² and y = 2– x².

A: To find the area bounded by curves

Q: 2. Find the area bounded by y = ÷x' 3x and y = -4. - %3D 3,

A:

Q: Enclosed by x² + 4y² = 16

A: We have to find area bounded by given curves.

Q: 7) Determine the area bounded by the x-axis under the line y = 2x+1 from x=1 to x=4

A:

Q: 8. Find the area between the curves y = x x² and y = x2 – 4x between x = O and x = 2.

A: For calculating the area between curves first of all we will draw the schematic diagram of the…

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

A:

Q: Solve the area bounded by the curve x=y^2 and the line y=x+1, y=2, and y=-2. Graph manually.

A:

Q: 10. Find the area bounded by the curve x = y² + 2y and the line x = 3.

A: Area Bounded by the Curves : If f(y) and g(y) are two continuous function on a,b and f(y)≥g(y), then…

Q: - Determine the area bounded by the curves y = -1² – 16x + 80 and y = (x – 4)°.

A:

Q: 1. The area bounded by the curves y x2,y 0, x = 2,x = 5 is 39. 2 is 10

A:

Q: 8. Determine the area bounded by x = -y² + 4y and the y-axis.

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Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

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Q: ii, Find the area under the graph y=5x4 between the limits x= 1 and x-3.

A:

Q: 7. Find the area bounded by x = t2,y = 1– t3,0st<1 and the y-axis

A:

Q: 3. Find the area bounded by the curve y = x² - 7x + 6 and the x-axis and the ordinates x 2 and x =…

A:

Q: 11. Find the area bounded by the curve y² + 2x - 2y - 3 = 0 and the y-axis.

A:

Q: 2. Find the area bounded between the curves: y = x², y = 4 – 3x, and x = 2 %3D

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Q: 9:(a): Find the area bounded by the curve y² = -x, the line y = x, and the line y= 2.

A:

Q: 3. Find the area bounded by the curve y = - x² x = 1, and the x-axis. %3D x4 – 16

A: We first sketch the region using a graphing calculator.

Q: 7. Find the area bounded by the curve y = x e¯** , the x-axis and the maximum ordinate.

A:

Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: 9:(a): Find the area boundedby the curve y =-x, the line y = x, and the line y = 2.

A:

Q: 5. Find the area bounded by the parabola y = x^2 - 3 and the line y =1.

A: Given problem:- Find the area bounded by the parabola y = x2 - 3 and the line y = 1 .

Q: 3 2. Find the area bounded by the two curves y = x³- 6x² + 8x and y = x² - 4x.

A:

Q: What is the area bounded by the curve x^2=-9y and the line y+1=0. O 3 O 4 O 5

A: Given equations: x2=-9yy+1=0

Q: Compute the area bounded by the curve y = x2 + 3, the x-axis and the ordinates x = 1; = 4.

A:

Q: Find the area bounded by the curve y = 2 over (x - 3) and the lines y = 0, x = 4 and x = 5.

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Q: 9) Find the area bounded under the curve y = x+2 and y=x² – 4.

A: