1: Find the area in the following Graph. y 4-x2 (-2,4) y = -x+2 (3,-5)

Q: The area between z = 0 and  z = −1.96 is

A: The are between z=-1.96 and z=0 is, P-1.96<z<0=Pz<0-Pz<-1.96 The probability of z less…

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

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Q: Find the area under the graph of y = -x² AL 54 3-2 -11° 1 2 3 4 5 X 4x on the interval [-4, -2].

A: We will solve the required.

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: #1 Find the area of the region between y=2x+ and y=x=4

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Q: ii, Find the area under the graph y=5x⁴between the limits x= 1 and x=3.

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Q: Which of the following gives the area of the region between the graphs of y = |x| and y = 5

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Q: 14. Find the area bounded by y = -x² +x + 6 _and y = x2 - x + 2 13

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Q: 1. Find the area of the region bounded by y = 4-x?, y = x + 2, x = -2, and x = 1.

A: As per our guidelines we ate allowed to answer one question at a time. Resubmit the other questions.

Q: 1. Find the area of the region bounded by y = x2 + 4, y = x, x = 0, and x = 3.

A: The equation of curves are C1: y = x2+4C2: y = xC3: x = 0C4: x = 3 To evaluate: The area of the…

Q: - 4. Find the area bounded by y = x - x² and y = x(x − 2)(x+2).

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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: 10. Find the area of the region bounded by the graph of x = y² – 4y – 5 and the y-axis.

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Q: 2. (a) Find the area between y = 3x² – 4 and y = 6x + 5.

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Q: Find the area enclosed by the loop of the curve y² = x (x - 1) ². Consider the attached graph.

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Q: Find the area between the graph of x = and the y-axis on the interval [1, 4]. 4 3 2- 1 0.5 05 1 1.5…

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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: 2. Find the area bounded by y = x² - 2 and y = 2x + 1.

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

A: Given; y=x^2+x+4

Q: 28. Find the area, if it is finite, of the region under the graph of y = 1/V(3x – 2)³ over [6, *).

A: area =∫6∞ydx

Q: Which of the following gives the area of the region between the graphs of y = |x| and y = 7

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Q: 2. Find the Area bounded by the curve y=4-x2 and the x-axis.

A: 2. The area bounded by the curve y=4-x2 and the x-axis Note:    Multiple questions are given, we are…

Q: Find the area between the graph of y = 3x2 + x and the x-axis for x=0 to x=1. %3D

A: From the given curve the bounded region is shown below:     Now using the double integral method to…

Q: 2.1 Find the area of the shaded region. y=1 x=y'-1

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Q: Calculate the exact area bounded by the x-axis and the graph of y=10−7x+x^2

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Q: 3 8) Find the area bounded by y = x = 0, y = 0, and x = 2. Vs1 - 9x2

A: Given function  y=381-9x2 y=39(9-x2)y=339-x2y=19-x2 To find area bounded by the curve

Q: Find the area between y = (x - 3) eX and the x-axis from x = 3 and x 9.

A: Give that

Q: Let a >1 be an integer. The area of the region bounded by the graphs of the functions y = 12ax and y…

A: This question is based on application of integration.

Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54…

A: The area formed is of trapezium

Q: Find the area between the y-axis and the graph X = 127 124 y² 2 1 -3 -2 -1 2 о T 4 3 0 -1 -2 1 on…

A: Given y-axis and x=1y2 on the interval -1,-3

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 y = -x' - 3x and y =- 4. |

A: solve the following

Q: 2. Find the Area bounded by the curve y = 4-x? and the x-axis.

A: Topic = 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: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

Q: 2

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Q: Use a graphing calculator to approximate the area between the graphs of y = In x and y = 9x e* on…

A:

Q: 2 Sketch the graph of y = 0.5x +2. Find the area between your line, the x-axis and the lines x = 0…

A: The slope-intercept form of a line is given by the equation y=mx+c. Here, m represents the slope…

Q: 1. Find the area bounded by: x=y² and y=-x².

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Q: 2. Find the area bounded by the line x – 2y + 10 = 0, the x- axis, the y – axis and x 10.

A: The red line is x=10 and the blue line is given line i.e. x-2y+10-0 Given x-2y+10=0This can be…

Q: (12) Find the area bounded by the graphs of function y =x2 +1 and y = 2x -2 for -1 <x <2

A: Giveny=x2+1y=2x−2−1≤x≤2

Q: 13. Find the area bounded by y = -x + 3 and x = 9- y2 13

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Q: Find the area under the graph of y = g(x) from -2 to 5, where x³, 4 – x, x 1 -

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Q: 12. Find the area bounded by the curve y = 3x(x - 2)² and the x axis.

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Q: 5. Find the area of the region that is enclosed by the graphs of the functions: y=-x? - 3x + 4 and…

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Q: 1. Find the area between y = - x² + 4x and y = x² - 6x + 5. Graph and shade the area required.

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Q: Find the area between the y-axis and the graph X = -y + 5y – 4 on the interval [1, 4]. 3- 2- 54 3-2…

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Q: O Find the area between the graph of f(x) = y= f(x) and the T-axis on [0.5, 2]. 0.5

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Q: 1. Find the Area of the shaded region. а. y (1/2)x2 + 2 y = -X -2 y = x3 - x2 - 6x 2. b.

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Q: 9) find the area of the region enclosed by: x= y' and x=-3y' +36

A: From the given problem: x=y2 : x=-3y2+36   So, the bounded region is shown below:     Finding the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.