What is the area of the triangle bounded by the x and y axes and the tangent to the curve xy^2=4 at (1,2).

Q: How can you sometimes find the area bounded by a parametrized curve and one of the coordinate axes?

A: Let the equation of parametrized curve be

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 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: Determine the area bounded by the curves y=sinhx, y=coshx, the y-axis and the line y=1.

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Q: What is the volume of a rotational body formed by rotating the area bounded the = 4-x ² function…

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Q: Find the area between the curve y=x^3 and its tangent through (1,1)

A: The slope of the tangent is given by y' at (x,y)=(1,1) y'=3x2At x=1y'=3 Equation of tangent line is…

Q: Find the area between the curves. x = -3, x = 0, y = 1 -x2, y = 0

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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: 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: Find the area bounded by the curve y = x2, AB is tangent to this curve at point P (2,4) and the x-…

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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: Find the area between the two curves on [2,3]. y = ex y = (1/x)

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Q: Find the line y=mx that divides the area under the curve y=x(1-x) over [0,1] into two regions of…

A: Given,           The line y = mx that divides the area under the curve y = x(1-x) over [0,1] into…

Q: Find the area between the curve y = 4 – x² and the line y = -x + 2.

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Q: 4 y = 1 + x4' y = 2x2

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Q: What is the area of the region bounded between the curves y = 6x and y = 4x? What is the area of the…

A: 1) The given curves are  y=6x2 and y=4x First equate both curves 6x2=4x  6x=4    x=23

Q: What is the area of the region between the graps y = x – 1 and line y = -x – 1

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Q: Find the area bounded by the curve 4 square units 10 square units 8 square units 16 square units 3 y…

A: Area

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: There is a line through the origin that divides the region bounded by parabola y=x-x^2 into two…

A: Given There is a line through the origin that divides the region bounded by parabola y=x-x^2 into…

Q: The area under the curve is negative, if z value is also negative. True or False?

A:

Q: What is the area bounded by the curves x = 1/y, 2x - y = 0, x = 6, and the x-axis?

A:

Q: Find the moment of inertia of the area bounded by the curve x^2=8y, the line x=4 and the x-axis on…

A: Use moment of inertia concept

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: Find the area bounded by the curve 16 square units 10 square units 8 square units 4 square units 16…

A: The region is bounded by y=116x3-34x2+3x and the line y=x.

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

A:

Q: What is the area bounded by the curve y^2 = x and the line x - 4 = 0?

A: We have to determine area of bounded

Q: the

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

Q: area bounded by the curves y2= 6x and x2 = 6y?

A: Given curvesy2=6x or y=6xand6y=x2 or y=x26

Q: Find the area between the curve y = 9 − (x/2)^2 and the line y = 6 − x.

A:

Q: Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and…

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Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

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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 bounded by the curve ay²=x³ and the line x=4a. With sketch please.

A: Area problem....

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:

A:

Q: Find the area between the curves: y=x^3−10x^2+21xx and y=−x^3+10x^2−21x

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Q: The area bounded by the curve y = 6x and the lines x = 7,x = 11 and x – axis ахis is

A: → y = mx is the equation of straight line passing through origin with slope m.→ Area of triangle =…

Q: Calculate the area between the curves x = 1– y² by the line x = y² – 1.

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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 radius of a circular disk is given as 20 cm with a maximum error in measurement of 0.4 cm. Use…

A: Given: The radius of a circular disk is 20 cm ie., r = 20 cm  error in measurement is 0.4 cm ie., dr…

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

A:

Q: Determine area under curves y = x2 + 3 and y = 7 - 3x. Show with sketch

A: Topic = Application of integration

Q: Find the area bounded by the curve 4y² + 16x – 15 = 0 and the linex = -1. %3D

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Q: How to calculate the pseudo-surface integral from a line? Please explain it in your multivariable…

A: How to calculate surface integral from line?

Q: What is the area bounded by the curve y^2=x and the line x-4=0?

A:

Q: = 4x y = 2x – 4

A:

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:

Q: Find the area bounded by the curves y=x4-2x2 and y=-x2+4 at an [-1, 1].

A: The region bounded by the curves y=x4-2x2, y=-x2+4 in [-1,1] is:

Q: our decimal places.

A: Given that: Given that: The equation x = y - 6y  , 1 less than y less than 4.