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Question Bank : Age Group 1617 : II1. Find the square root of 8  6i. show that . 3. Obtain the Maclaurin's series for . 4. Solve: . 5. Find the intervals at which is increasing or decreasing. 6. Prove by vector method that cos(A+B) = cosAcosB  sinAsinB. 7. Find the vector and Cartesian equation of the plane through the points (1,2,3), (2,3,1) and perpendicular to the plane 3x  2y + 4z  5 = 0 8. Find the equation of the hyperbola if its asymptotes are parallel to x+2y12 = 0 and x2y+8 = 0, (2,4) is the center of the hyperbola and it passes through (2,0). 9. Find the common area enclosed by the parabola 4y² = 9x and 3x² = 16y. 10. Find the volume of the solid generated by revolution of the loop of the curve about xaxis. Character is who you are when no one is looking. 