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Question-Answer
- |x-3|^(3x^2 - 10x + 3) = 1. Find x. (January 21, 2023)
- Evaluate (x^b-c)^b+c-a (x^c-a)^c+a-b (x^a-b)^a+b-c (January 21, 2023)
- Factor x^4 + x^2 + 1 (January 21, 2023)
- Find n ∈ N.If lim_x->0(1-cosx cos2x cos3x .... cosnx) = 253 (January 20, 2023)
- Find y'(0) if y=(x+1)(x+2)(x+3)...(x+2023) (January 20, 2023)
- Evaluate for dy/dx y=ln(x+sqroot(1+x^2)) (January 20, 2023)
- ΔABC with all acute angles is given. The point whose coordinates are (cosB-sinA sinB-cosA) can be in which quadrant (January 20, 2023)
- 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. (January 20, 2023)
- Find the sum of n terms of the series 3+8+22+72+266+1036+...+up to n terms (January 20, 2023)
- Evaluate {1}/{1*2*3*4}+{1}/{2*3*4*5}+{1}/{3*4*5*6}+...+up to n terms. (January 19, 2023)
- Let {a_n}_n=1 be a sequence such that a_1=1 , a_2=1 and a_(n+2)=2a_(n+1) + a_n for all n>=1. Then the value of 47S{a_n}/{8^n} is equal to (January 19, 2023)
- Evaluate (0.7+0.77+0.777+...+upto n times) (January 19, 2023)
- If x+y+z=12 and x^2+y^2+z^2=96 and {1}/{x}+{1}/{y}+{1}/{z}=36. Find the value of {x^3+y^3+z^3}/{4}. (January 19, 2023)