Find the area of the surface generated when the curve: =y=+on [1,2] is rotated about the x-axis. 2 0 2

Q: Find the length of the curve r (t) = 3ti + square root of 3t^3 j + 2/3 t^3 k in [0,1]

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Q: What is the shortest distance from the curve x^2+xy+y^2=16 to the origin?

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Q: f x=10cos^(3)⁡θ and y=10sin^(3)⁡θ, find the total length of the curve swept out by the point (x,y)…

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Q: Find the length of arc of the curve 9y^2=4x^3 from the origin to the point (3,2 squareroot of 3)

A: The arc length of a curve y=f(x) from x=a to x=b is defined by the integral L=∫ab1+dydx2dx.

Q: Find the ABSOLUTE VALUE of the gradients of the tangents drawn to the ellipse x^2/4+y^2/93D2 at the…

A: We have to find absolute value of gradient at x=2 for the given function.

Q: Identify and sketch the curve for: x^2+25y^2+100y+4=0

A: The given equation of the curve is x2+25y2+100y+4=0. Rewrite the given equation of the curve as…

Q: The graph of g(x) is shown below. The image includes two straight lines and a semi-circle. Use this…

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Q: Find the image of the following lines/curves y=(1/x) under the mapping f(z) = z^2. If possible,…

A: Given y=1x fz=z2  we know z = x+iy

Q: Write an equation in general form of the tangent plane to the surface x^2+siny + z^3 = −4 at the…

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Q: b) Find the area between the 2 curves f(x)=x²+4-4x and x-axes and border with the two lines = 5 &x=…

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Q: Find an equation of the tangent plane to the surface 4x^2 + 9y^2 − z^2 = 14 at P = (2, 1, 4).

A: Given,4x2+9y2-z2=14at P=(2,1,4)

Q: The line y = mx +b intersects the parabola y = x^2 at points A and B. Find the coordinates of the…

A: The line y=mx+b intersects the parabola y=x2 at the pointsA and B.Let A=x1,x12 and B=x2,x22, where…

Q: What is the equation of the line tangent to the curve 9x^2 + 25y^2 – 225 = 0 at (0, 3)?  a. x + 3 =…

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Q: find the lateral (side) surface area of the cone generated by revolving the line segment y=7/3x, 0…

A: What is Solid of Revolution: A solid can be formed by revolving a region in two dimensional…

Q: Find the slope of the curve x^3=(y-x^2)^2 at (1,2). If q-p=Inq+Inp, find dq/dp.

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