Find the area in the first quadrant, bounded by the lines x = 2a, y = 4a, the axes and the curve (x^2)y = a^3. A 8a^2 B (7a^2)/3 (a^2)/4 (3a^2)4

Q: Sketch the graph of the curve y = x³-21x² +146x-336 Shade the area of the region bounded by the…

A: Sketch the graph of the curve y = x³-21x² +146x-336 Shade the area of the region bounded by the…

Q: Find the equation of the vertical line that divides the area of the region R bounded by 1 y = 20x2…

A: Identify the limits of integration from the given region, to calculate the area of the region. Here,…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: The area of the region bounded by y = v9-x² , the x-axis and the line y3x in the first quadrant is:

A: The area of the region is calculated by the double integration, and to solve double integration we…

Q: Find the area of the region bounded by the curve  y=2x2-3x+2  x axis and vertical lines x=0 and x =…

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Q: Find the area between the curves.

A: First sketch the region bounded by the curves x=1,  x=6,  y=1x  and  y=12 as shown below.

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: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Solve

Q: Find the of the region bounded by the parabolas y – 6x = -x² and y + 2x = x² , area

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: This is a problem related to linear approximation of the function. Based on the general formula and…

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

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: Find the area between the curves. 3x х%3 -2, х%34, у%33е3X, у%3D2е 3X +1

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: A hemisphere is the half of a sphere. The volume of a sphere is given by the equation; V=23πr3

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

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Diameter=60 meters⇒radius=30 meters                         ∵Radius is half of the…

Q: The area bounded by the parabola y = 4x2, y-axis and the lines y = 1, y = 4 is

A:

Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

A: the area is given by A=∫ab|fx-gx|dx here we have fx=7x g(x)=0 a=0, b=16

Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to x² - y = 0 at x…

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Q: Find the distance between the point (-1,2) and the line with x-int 1/3 and y-int 3/4.

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Q: Find the area of the bounded region between the parabola y = 2x + 3 and the line y = x2. Sketch the…

A: A detailed solution is given below.

Q: The circumference of a sphere was measured to be 70 cm with a possible error of 0.5 cm. Use linear…

A: Solution is in step 2

Q: What is the area bounded by the curve y = x3 and x = -2 and x = 1? What is the area bounded by the…

A: we have to find area

Q: A 6-inch-tall plastic cup is shaped like a surface obtained by rotating a line segment in the first…

A: Given: A 6-inch-tall plastic cup is shaped like a surface obtained by rotating a line segment in the…

Q: Find the area between the curves. x = -5, x=2, y = 3x, y = x² - 4

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A:

Q: Find the area of the region bounded on the left by the curves y = e3x and y=3-x, and on the right by…

A: The area is the amount of space occupied by the surface. It is measured in terms of unit squares it…

Q: Calculate the area between the curves y = 7- 2x2, y = x2 + 4, and the x-axis.

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Q: Find the area on the first quadrant bounded by the curve y = 2Vx and the lines y = 1,x = 4 and the…

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Q: Find the area of the region between the curves 4x + y = 12 and x = y. Area between curves

A: Solution

Q: Find the area of the region bounded by the curve  y = 2x2 - x  and the line  y = x + 4  .

A: To find the area of the curve.

Q: $ find the area of region in the first quadrant bounded on the left by the y-axis, below by curve x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: The area of the region bounded by x = /9-y', the y-axis and the line x-y in the first quadrant is:

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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: The circumference of a sphere was measured to be 72.000 cm with a possible error of 0.50000 cm. a.…

A: Topic = Application of derivatives

Q: What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis from…

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Q: Sketch the entire region bounded between the curves, x=y^2 and y^2 =x-4. Determine their…

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Q: Find the area of the region in the first quadrant that is enclosed by the curves x=y, y=x-, and the…

A:

Q: Find the area bounded by the curve y = 4x - x2 and the lines x = 0 and y = 4.

A: topic - area bounded by curves

Q: ; The circumference of a sphere was measured to be 77.000 cm with a possible error of 0.50000 cm.…

A:

Q: Find the area of the region between the curves 4x + y = 12 and x = y. Area between curves =

A: R

Q: Find the area between the curves -16 = 4x- y and -10 = 2x-y.

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Q: Find the area between the curves. 3x 3x x-0, x-D4, y3D2e" y-e

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

A: Topic = Application of integration

Q: = 4x y = 2x – 4

A:

Q: The circumference of a sphere was measured to be 77.000 cm with a possible error of 0.50000 cm. Use…

A: Circumference = 77.00 radius r = 77/2π ± 0.5 cm Now, 0.5cm = (0.5/77)*100% = 0.65% r = (77/2π) ±…

Q: Find the area of the region bounded by the line y = 2x – 5 and the parabola y = x² – 4x. - -

A: Graph of enclosed region -

Q: Sketch the region bounded by the line y -axis. = 2 and the graph of y = sec2 x for −π2 < x <…

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Q: find the area of the region bounded by the curve y=x2 - 4x+3  , x axis and the lines x=2 and x=4

A: