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Question-Answer

|x-3|^(3x^2 – 10x + 3) = 1. Find x.

Evaluate (x^b-c)^b+c-a (x^c-a)^c+a-b (x^a-b)^a+b-c

Factor x^4 + x^2 + 1

Find n ∈ N.If lim_x->0(1-cosx cos2x cos3x …. cosnx) = 253

Find y'(0) if y=(x+1)(x+2)(x+3)…(x+2023)

Evaluate for dy/dx y=ln(x+sqroot(1+x^2))

ΔABC with all acute angles is given. The point whose coordinates are (cosB-sinA sinB-cosA) can be in which quadrant

The abscissa of 2 points A and B are the roots of the equation x^2+2x-a^2=0 and the ordinate are the roots of the equation y^2+4y-b^2=0. Find the equation of the circle with AB as a diameter.

Find the sum of n terms of the series 3+8+22+72+266+1036+…+up to n terms

Evaluate {1}/{1*2*3*4}+{1}/{2*3*4*5}+{1}/{3*4*5*6}+…+up to n terms.

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