Let f(x) = ³/². Calculate the arc length of the graph of f(x) over the interval [0, 1].

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A: Given- y=arctanx2 To Analyze- The above graph.

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A: Slope of the tangent line is the derivative of the given curve at the given point. So…

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A: The slope of the tangent can be found using the formula, m(θ)=drdθsin(θ)+rcos(θ)drdθcos(θ)-rsin(θ).…

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A: A detailed solution is given below.

Q: Find the linear approximation to y=arcsinh(2x) at x=6.

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Q: consider the function f(x,y)= arcsin(2x+y). Find and sketch the domain, and find the range.

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Q: h(x)= arcsin(x) Find the linear approximation to h(x) at x = 1/2; use your answer to estimate…

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Q: Show that th equation of the tangent to the curve X 1승 +1-2(a 0,b + 0) at the point (a,.b) is 즈+-2 X…

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Q: Find the arc length of the graph of the function f(x)=5√x3 from x=3 to x=7.

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