Solve the equation on the interval 0 ≤0< 4 sin 0+3=1

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Q: Find a power series representation of for f(x) = convergent, find its sum. x+2

A: f(x)=x2x+2We know the power series of 11+x11+x=∑n=0∞(−1)nxn

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Q: Solve the equation on the interval 0 ≤ 0 < 2t. 4sin 0-3=0

A: 4 sin2(theta) - 3 =0

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Q: Find the curl of the vector field F. F = (x+y+z)i +(6x+y+4z)j + (8x + 7y-z)k curl F=i++C

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Q: Use implicit differentiation to find dy/dx. 8. x³ – xy + y³ = 1 -

A: Since you have posted multiple question in this question which are not interlinked so i have solved…