What is the exact area bounded by the curve f (x) = and the x-axis on the interval [3, 10]? Write the value in exact form. Do not write a decimal approximation. Write the exact number that completes this sentence. The area is --- square units.

Q: The area bounded by the curve y 4x and the lines r = 6 ,x = 10 and a axis is

A: As per guildlines we can solve one question at a time. If you want answer of all please ask them…

Q: Find the area bounded by the parabola y2 − 3x + 3 = 0 and the line x = 4. With illustrations please

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Q: Sketch the curve, y=-x +9. Then, find the area between the curve and the x- - axis over the…

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Q: Estimate the area of the curve y = 2x + x - 3 from x = 1 to x = 3 by using 5 rectangles and right…

A: We have the lower limit, a = 1, and the upper limit, b = 3.  We are using five rectangles, that is n…

Q: What is the area (in square units) bounded by the curve y' =x and the line x- 4=0?

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Q: What is the range of the integral value?

A: In this question we have find the range of Integral value.

Q: Find the area between the curve y=4x-x² and the x-axis

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Q: Estimate the area between the curve y = x^2 - 2x + 5 and the x-axis between x = 0 and x = 3 using 6…

A: Given, y=x2-2x+5 Here, a=0, b=3 and n=6 Therefore, ∆x=b-an3-06=12=0.5 Therefore the intervals are,…

Q: f(x) = 4x² + 5x + 5; [-3, 3]

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

A: The given equation forms a downward parabola.

Q: Find the area bounded by the indicated curves. y = x4 - 18x? + 81, y = 81 - x

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Q: What is the area bounded by the curve x² = -9y and the line y + 1 = 0?

A: Given curve is x2=-9y Line is y+1=0 We need to find the area bounded by the curve

Q: Calculate the area of the segment cut from the curve y = x(3 – x) by the line y = x.

A: here we have to find the area of the region bounded by the curve and line.

Q: Estimate the area under the curve y=64-x^3 between x=0 and x=4. Use four rectangles

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Q: Find the area between the curves. x = 0, x = 6, y = 5x, y = 3x + 10

A: Given: The curves x=0, x=6, y=5x, and y=3x+10 . The bounded area between the given curves is shown…

Q: Find the area of the region bounded by the parabola y = 4x², the tangent line to this parabola at…

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Q: Find the area between the curves. x = -2, x = 1, y = 2x, y = x2 - 3

A: Given curves,  y = 2x y = x2 - 3 x = -2 x = 1 To find the area enclosed.

Q: Estimate the area under the graph (sqr-root):x+4 over the interval [-4,12] using 8 approxiamating…

A: Given function: Width of each interval = (12-(-4))/8= 16/8= 2  So the partition is -4, -2, 0, 2, 4,…

Q: Estimate the area under the curve f(x) = 2x from 0 to 1 using R4. Leave your final answer as exact…

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Q: Find the area enclosed between the curve y = 9 - x squared and line y = x + 7

A: This question is based on application of integration.

Q: Find the area between the curve y = x2 + 9x + 14 and the x-axis from x = −2 to x = 0. (Give an exact…

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Q: Find the area between the curves: y = x³ – 10x? + 16x - x³ + 10x² – 16x 3 and y = -x° + 10x?

A: Consider the figure given below :

Q: Determine the area bounded by the curves x³ - y = 0 and y + 3x² - 4 = 0, using a vertical element.

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Q: Find the area between two curves f(x) = x² + 3x and g(x) = 6x.

A: The region bounded between the curves fx=x2+3x and gx=6x

Q: Find the area bounded by the curve f(x) = -x² + 10 and the x-axis. Give your answer correct to two…

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Q: Find the area between x-axis and the curve defined by   y=2·x2−6·x on the interval [0‍,4].

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Q: Using left endpoints, approximate the area under the curve of f(x) =3x^(2) + 1 over the interval [0,…

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Q: Find the area bounded by the curve y = 9 – x2 and the x-axis.

A: Area

Q: Find the area between the curves. x = -2, x = 1, y = 2x2 + 5, y = 0

A: Given, x=-2,x=1,y=2x2+5,y=0

Q: the

A: Given curve y^=x and y=√x  Line x-4=0   Find area ?

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 y = 9 − (x/2)^2 and the line y = 6 − x.

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

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Q: Find the area under the curve  y= (2x2 - 7) / (sqrt(x)) ,   16 <= x <= 20

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Q: Find the area between the curves. x = - 2 , x = 1 , y = 3x , y = x 2 - 4.

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Q: Find the area enclosed by the curves x = -2, x = 3, y = 3x2 - 70, and y = 12x + 26.

A: Consider the area enclosed by the curves x = -2, x = 3, y = 3x2 - 70, and y = 12x + 26.

Q: The area bounded by the curves: у-х, у-6-х аnd у-0.5х is:

A: see below the answer and explanation

Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

A: The given parabola is: y=2x2 The tangent line at (5,50) has the slope: mx=5=dydxx=5          =4xx=5…

Q: Find the area between the curves.    x = - 5, x = 1, y = 10 x, y= x 2 -11

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Q: To estimate the area under the graph on the interval [-4, 4], we use left-rectangle approximation…

A: Introduction: A sub-interval can be divided into a certain number of subintervals with equal length.…

Q: Find the area between x-axis and the curve defined by   y = 2·x2 − 6·x on the interval [0,4].

A: Given curve: y=2x2-6x We need to find the area between x-axis and the curve on the interval 0,4

Q: Find the area between the curves x2 and 6x – 5

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Q: Find the area bounded by the curve f(x) = -x² + 7 and the x-axis. Give your answer correct to two…

A: We have to find Area bounded by the given curve and x-axis.

Q: Find the area between the curve and the x axis over the indicated interval. Y=4-x square; [-2,2|

A: Given: Y=4-x2 to find out: area between the curve and the x -axis over the interval [-2,2]

Q: Estimate using right-hand endpoints, the area between the curves y=9x^2 +30 and y= 5-7x over the…

A: given :

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

A: To find the area between the curve y=x2+10x+16 and the x-axis from x=-2 to x=1. This is given by…

Q: Find the area bounded by the given curves. y = 4x3 + 5 and y = 4x + 5        square units

A: We first sketch the area using a graphing calculator  There are two areas. They are symmetric. So…

Q: Let f(x) = 3 + 2x2 Estimate the area under the graph of f, the x-axis, and the lines x = −1 and x =…

A: We have to find the area using 3 rectangle and 6 rectangle

Q: Determine the area between the curves x 2 y2 and x + 15 y = 8. -2 -4 -6 -8 -10 -50 50 100 150 200…

A: This question is based on application of integration.

Q: Estimate

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