The area bounded by the curve Y 4x and the lines x 6 and a 14 above the x axis is O 640.00 square units O 784.00 square units 928.00 square units 320.00 square units

Q: 1. Find the area bounded by the parabola y=4ax, the x-axis, and the lines x=4a, x=9a.

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Q: Using four left endpoint rectangles, approximate the area under the curve ofy = x² + 3 from x = -3…

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Q: The area bounded by the curve y = 4x and the lines a = 4 and a = 6 above the a - axis is_ O 208.00…

A: Here we use washer's method to find the area between given curves. The answer is given as follows:

Q: How many individual areas in the total area bounded by the curve y=x - 3x² +2x and by the x-axis…

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Q: The area under the curve y = 3x bounded by the lines x = 3 and x = 8 above the х — ахіs is. - 192.00…

A: we have to find the area bounded by the given lines

Q: The area bounded by the line y = x, the x - axis, the ordinates x =1, x = 2 is 3/2 O 5/2 O 1/2 7/2

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

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Q: Find the area between the curves. y = x2 − 2x + 7 and y = x2 + 8 from x = 0 to x=6

A: Let fx=y=x2-2x+7 and gx=y=x2+8. First, we will find the intersection point of both the curves…

Q: Find the area of a parallelogram bounded by the x-axis, the line g(x) = 2, the line f(x) = 3x, and…

A: To Determine: Find the area of a parallelogram bounded by the x-axis, the line g(x) = 2, the line…

Q: 3. Find the exact area between the curve f (x) = -2x² + 12x + 7, the x-axis, and x=1 and x=5.

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

Q: Find the area between the y-axis and the graph X = Y 7 6 5 4 X 543-2/1² 1 2 3 4 5 WŃ y - 1 on the…

A: Here we have to use the concept of integration

Q: The area bounded by the curve y = 7x and the lines x 9 and x = 42 above the x – - axis is O 11781.00…

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Q: Approximate the area under the curve of y = x² - 2x + 3 over the interval x = -1 to x = 3 using 4…

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A: Find the area of the region between the graph of fx=1x and the x-axis on the interval [1,9]

Q: find the area of the loop of the curve y^2 = x^3 (1-x)^6

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Q: 3 Find the area bounded by the curve y= -x3x2+3x and the line y=x. 16 O 16 square units O 8 square…

A: Please follow the next step.

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 - r, and the line perpendicular…

A: Triangle bounded by the y-axis, the line f(x)=5-(x/7) , and the line perpendicular to f(x) which…

Q: The area bounded by the curve y = 3/x and the lines x = 5 and x = 10 above the x axis is _square…

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Q: Find the area bounded by the curve of y = x' + 3 and the x-axis from x = -3 to x = 1 Approximate are…

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Q: 2 Find the area bounded by the parabola y = 4x and the line y = 2x - 4. 3 sq. units 6 sq. units 9…

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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: Find the area bounded by the parabola y^2 =4x and the line y=2x-4 * 9 sq. units 21 sq. units 11 sq.…

A: The area of the region bounded by the curves is defined as the integral of the upper curve minus the…

Q: The area of the region between the x-axis and the carve y = e¯ -3x for x >0 is

A: Formula:For y=fx; y≥0 area between the curve y=fx, x=a,x=b and x-axisA=∫ba fxdxGiven y=e-3x

Q: The area bounded by the curve y = 3x and the lines x = 4 and x = 6 above the x - axis is O 30.00…

A: Given that y=3x at x=4 and x=6  find out area bounded by the curve

Q: The area under the curve y = 5x bounded by the lines a = 3 and æ = 6 above the a – axis is_ 225.00…

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Q: The area under the curve y = 2x bounded from below bythe x-axis and on the right by x = 4 is 16 3…

A: Given that the area under the curve y=2xwe need find the area below the x-axis and the right by x=4

Q: Find the area of the segment cut from the curve y=x (x-3) and the ordinates x=0 and x=5

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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: 10.Which of the expressions below could be used to correctly compute the area bounded by the graph y…

A: Given Data: Equation 1: y=10x-4x2 Equation 2: y=2x The intersection points of two curves. Substitute…

Q: Estimate the area under the graph of f(x) = 0.5x2 + 1 over [0, 6] and n = 6

A: Given: f(x) = 0.5x2 + 1 over [0, 6] and n = 6

Q: . Find the area bounded by y = (11 – x), the lines 3x=2, x=10, and the x-axis.

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Q: Find the area enclosed between the x-axis, the curve y= (x-15)(7-x)(x+12) and the lines x=-12 and…

A: We have to find the area enclosed between the x-axis, the curve y=(x-15)(7-x)(x+12) and the lines…

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval [– 1, 2] by…

A: Given the graph of the function :

Q: Find the area bounded by the x-axis, the curve y = x² and the vertical line x = 3. and Find the area…

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Q: The area bounded by the curve y = 3/x and the lines x = 3 and x = 8 above the x axis - is _square…

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Q: Find the area bounded by the curve y=-x³x² + 3x and the line y=x. 16 A 8 square units B 16 square…

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Q: The area bounded by the curve y 3x and the lines x = 4 and x = 36 above the x – axis - is O 3888.00…

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Q: Find the largest possible area for a rectangle with base on the x-axis and upper vertices on the…

A: The given question can be solved as shown in step 2.

Q: Approximate the area under the curve of y = x - 2x + 3 over the interval x = -1 to x = 3 using 4…

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Q: 3. Determine the area above f(x) = x² + 2x + 3 and below the line y = 11.

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Q: The area of the interval lies between z = -2.49 and z= 1.72 is

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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: The area bounded by the curve y = 3/x and the lines x 3 and x = 8 above the x axis is _square units…

A: All options are incorrect.

Q: find the area of a parallelogram bounded by the y-axis, the line x=5, the line f(x)= 4+2x, and the…

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Q: The area under the curve y = 8x bounded by the lines a = 4 and a = 9 above the a – axis is_ 648.00…

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 3 – z, and the line perpendicular…

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Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x over the interval 0, 3 by using…

A: The given function f(x)=9-x2 over the interval [0,3]

Q: Find area bounded by the circle x² + y² = 25, the y-axis and the parabola y = 6x - x².

A: Circle: x2+y2=25 Parabola: y=6x-x2 To Find: Area bounded by the circle, the y axis and the parabola…