(1) Find the area enclosed by the two functions f(x)=x² – 1, and g(x) = -x4 + 1. %3D %3D

Q: Q4: Find the area bounded by: e) y = 2* , y= x² + 4x and - 4< x< 0.

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Q: 1. Find the area in the first quadrant bounded by f(x)=4x-x^2 and the x-axis. f(x) = 4x-x² 3 2 3 1 2…

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Q: 1. Find the area in the first quadrant bounded by f (x) = 4x – x² and the x-axis.

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Q: 15) When does S, f(x) dx represent the area under the graph of f (x), above the x-axis, between x =…

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Q: 7) Find the area under the parabola y = x² – 2x +2, above the x-axis and between x = 0 and x = 1.

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Q: Find the area under the graph of f(x)= x2 and above the x-axis, between x = 0 and x = 3.

A: Given, f(x) = x2, we have to find the area under the graph f(x) and above x-axis between x = 0 and x…

Q: * Example (6): Find the area between the curve x = y² and the line x = y + 2 Solution :

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Q: 10. f (x) = x² + 4x + 4 Opens up/down:. Vertex: Axis of symmetry: Solution(s): y-int: Domain: Range:

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Q: Find the area under the curve y = x3 + 3x2 and the x-axis between x = 1, and x = 3

A: Find the area under the curve y = x3 + 3x2 and the x-axis between x = 1, and x = 3.

Q: Find the area between the graph of f (x) = x² – 2x and the x-axis from x = -1 to x =

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Q: 2x Find the expression for the area under the curve of f (x) 1<x< 3 %3D x²+1'

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Q: 1. Find the area lying above the x-axis under the parabola y = 4x – x2.

A: The area lying above the x-axis under the parabola y=4x-x2

Q: Find the area between the curve  y = x2 + 3x + 2  and the x-axis from  x = −1 to x = 1.

A: We have to find the area between the curve y=x2+3x+2 and the x-axis from x=-1 to x=1.

Q: Q4 Find the area of the bounded by the curve and the x-axis. [2] S(x) = 4 – x²

A: Topic:- area under the curve

Q: b. Find the area bounded by the curve y = Vxe-Vx and the x-axis from x = 0 to x = 4. (45 Ivarks)

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Q: 4. Find the area bounded by the curve a²y = x³, the x - axis, and the line x = 2a. Solve in two…

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Q: Solve for the area beneath the curve y = -(x – 1)² + 10 and above the axis from x = -1 and x = 2.

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Q: 2. Find the area in the second quadrant bounded by the curve y = x' +4x² –x-4 and the x- axis.

A: To find: The area in the second quadrant bounded by the curve. Given: The equation of the curve is…

Q: Find the area under the graph of f(x) = 3x2, above the x-axis, and between x = 0 and x = 2.

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Q: The area bounded by the curve y = 6x , the x-axis and the ordinates x = = 0, x = 2 is 6 O 3 O 12 O…

A: area bounded by curve and x axis given by integrating curve

Q: Find the area between the curve y = x² + 12x + 27 and the x-axis from x = -3 to x = -1.

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Q: 1. Find the area between the curve y=x²+2 and the x-axis, between x=1 to x=3

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Q: Find the area bounded above by the function f(x) = -3x² + 4x - 1 and bounded below by the x-axis.…

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Q: The area between the curves f(x)= x^2,and g(x)=1 1/2 1/4 O 4/3 O 1/3

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Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. Find the value…

A: To determine the value of integral

Q: Find the area, if it exists, of the region under the curve on the given interval of the x-axis. f(x)…

A: Given. Y = e-3x Area is  dA = e-3xdx Interval is  X&gt;=8

Q: Find the area of f(x) = 3 +2x – x² above the x-axis.

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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: 1. Sketch a region bounded by the function ƒ (x)= x+1 the x axis and two vertical lines so that the…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 1. Find the area bounded by y = -x' - 3x and y =- 4. |

A: solve the following

Q: 1. Find the area bounded by y2 = 4a(y – x), y² = 2a(x + 2y – 3a) and the x-axis.

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

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Q: The area enclosed by the two curves y = x² - 4 and y = x - 4 is given by. a. f(x-x²) dx b. (x²-x) dx…

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Q: f (x) = x² and g(x) = 3x – x2 Зх — 3. Find the area between the two curves by integration.

A: We have to find area

Q: 1. Solve the area bounded by the curve (x - 2)² = - ( y - 4) and the lines x=- 2 and y= 4.

A: The area bounded by the curves (x-2)2=-(y-4) ,x=-2, y=4 is as shown above.

Q: 3. Find the area (in sq. units) bounded by the parabolas x²-2y = 0 and x2+2y-8=0.

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Q: 4. Find the area between y=Z+3. and ys-xt1ox-9

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Q: Find the area between the curve f(x) = x² +12 and the x-axis from x = 3 to x = 6. ...

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Q: Find the area between the curve y = 2(ln x)/x and the x-axis from x = 1 to x = e.

A: According to question, Given curve, y = 2ln xx

Q: 1. Find the area in the first quadrant bounded by f (x) = 4x- x and the x-axis.

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

Q: - 5. Find the area bounded by the curve y² − 3x + 3 = 0 and the line x = 4

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

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Q: Find the area above the x-axis bounded by the function f(x) = -x2 + 2x + 3 and the x-axis.

A: Given that, f(x) = -x2 + 2x + 3 Points of intersection of f(x) with the x-axis are obtained when:…

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: | (f(x) – g(x)) dx still equal to the area between the graphs of f and g if f(x) > 0 but g(x) < 0?…

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Q: 1. Find the exact area between the curve f (x) = 9 – x², the x-axis, and x=-3 and x=3.

A: As mentioned, use the sigma formula to find the area A. Plot the curves. Divide the area between the…

Q: Solve. 1. Find the area of the region between the function f(x) = 4x + 1 and the x– axis on the…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 2. Find the area bounded by y = 4x – x² and the x – axis. · Solve in two ways.

A: Solution:Giveny=4x-x2   and x-axisTo find the area of the bounded region.Formula:Area=∫abydx

Q: Consider the region bounded by f(x)=−x2+11x−3 and g(x)=5x+5. Find the area, in square units, between…

A: Given:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.