8. Find the area enclosed by the line y=x-1 and y' = 2x+6.

Q: 8. Find the area bounded by x² – 6x + y = 0, - x² – 2x – y = 0, and the x – axis.

A:

Q: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x-…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the area between the curves y – 0.5x = e and y = 2.1x + 1 from x=0 to x=3 Area

A: Explanation of the answer is as follows

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

A:

Q: 2. The area bounded by y=3x+4 and the curve y=x2 is revolved about the line x =5.

A: 2) The area bounded by the given curves is:

Q: Find the area between the curve y=x^3 and its tangent through (1,1)

A: The slope of the tangent is given by y' at (x,y)=(1,1) y'=3x2At x=1y'=3 Equation of tangent line is…

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

A:

Q: 12) Find the area of the region between the curve y = 22-X and the interval 0 < x < 2 on the х-ахis.

A:

Q: 2. Find the area between the curve y=-x and y+x²= 2x.

A: The given curves are y=-x and y=2x-x2.

Q: 4. Find the area bounded by the curves y = 2x – x2 and the x-axis

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

A: 16)Given,y=x316-3x24+3x and y=x

Q: find the area between the curves 2x^2+4x+y=0 and y=2x

A: Given that: 2x2+4x+y=0    and   y=2x

Q: Find the area bounded by the curve y = 4x over the square root of (1 - 2x) and lines y = 0, x = -4…

A:

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: 1. Find the area in the second quadrant bounded by the curve 2x² + 4x +y = 0 using two methods

A:

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

A:

Q: 4. Find the area of the region bounded by y = cos x, y = sin x, x = 0, x = %3| might have to break…

A:

Q: 5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

A: To find the area bounded by the curves f(x)=4-x2, y=4, y=2x-4. The region bounded by the curves is:

Q: B- Find the area between the curve (y-√x - 2) and the lines (y-4-x),(y=0).

A: We have given three curves-y=x-2y=4-xy=0 First we will find intersection of first two curves…

Q: 1. Find the area between the curves x2-y = 9 and the line y 2x-6

A: Since you have posted multiple questions in this question which are not interlinked so I do only…

Q: 1. Find the area between the curves x2-y2 = 9 and the line y = 2x-6

A:

Q: Compute the exact area under y=4x2, above the axis and between x=0, x=1.

A: We have to compute the exact area under the given curve   y=4x2 Between the interval  x=0  and…

Q: Find the area between the curve y = x2 + 10x + 16 and the x-axis from x = −2 to x = 1.

A: We have limits of curve from x=-2 to x=1

Q: Use the method of anti-derivative to find the area under the curve y = 4(x³ the interval [2,4]. 4x)…

A: Before finding the area, first, we will find the x-intercepts of the curve  to check that any point…

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: Find the area between the curves: y=x^3-11x^2+18x and y = -x^3+11x^2-18x

A: y=x3-11x2+18x and y=-x3+11x2-18xTo find the area between the curves:

Q: Find the area between the curve x = y2 and the line x = y + 2 Solution : * with respect to x:

A: Given curves x=y2. . . . 1x=y+2. . . . .2 Equating (1) and (2) y2=y+2y2-y-2=0y-2y+1=0y=2,-1

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: Find the area between the curves: y=x^3−10x^2+21xx and y=−x^3+10x^2−21x

A:

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

A:

Q: 1. Find the area under the curve y = 9- a2 over the interval[0, 3] using right end point…

A:

Q: 1. Find the area of the region bounded from the right by the curve x = 4 - y2 , from the left by the…

A:

Q: Find the area under the curve y = lines x = 1 and x = 5. 3x² + 4x + 1 bounded by the x-axis and the

A: Area under the curve y=3x2+4x+1 bounded by x-axis and x=1 to x=5.

Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…

A: area between curve

Q: Find the area between the curves. y = x2 - 9x + 4 and y = x² + 6 from x = 0 to x = 6

A:

Q: 9 Set up an integral for the length of the Curve, yこx,05x<ト

A:

Q: 6. Find the area bounded by the curves of y = 6x + x² andy = -x² - 2x, and the linex = 5.

A: The equation of the curves are  C1: y = 6x+x2C2: y = -x2-2xC3: x = 5 To evaluate: The area of the…

Q: 8) Find the area between the curves: y = x'-9x + 14x and y =-x +9x2 - 14x

A:

Q: 4. Find the area under the curve y = Vx +6 from x = -6 to x = 3. Give exact answer.

A:

Q: 1. Find the area between the curves x2-y 9 and the line y 2x-6 %3D

A:

Q: Approximate the net signed area under the curve y = x 2 − 2x − 2 on the interval [1, 5] using 4…

A:

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

A: We have to find the area bounded by the given curves. We will find the area by the help of…

Q: Find the area under the curve over the indicated interval. [4.3] y = 4 – x²; [-2,1] y = x + 2x + 1;…

A: Please refer the attached image for complete solution.

Q: 10. Find the area bounded by 2. Hhe curves y=8x-x²0ind y=3x

A: topic - area bounded by curves

Q: 14. (a) Find the area bounded by the curves y = 2x² and y = 4x. %3D (b) Two cars both start on a…

A:

Q: Find the area under the curve for y = 3x over the interval [2,5).

A: The given curve is y=3x2

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

A:

Q: Find the area bounded by the curves y=x4-2x2 and y=-x2+4 at an [-1, 1].

A: The region bounded by the curves y=x4-2x2, y=-x2+4 in [-1,1] is: