5. Find the radius of curvature at origin for the curve x + y = 3axy....

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5. Find the radius of curvature at origin for the curve x + y = 3axy. 6. Show that x log(sin x)dx = = -log- 2 1 7. Apply the rule of differentiation under integral sign to evaluate sin x deduce that dx = 2 -ax e sin x X 0 2a dx and hence 8. Define Beta function. Apply Beta and Gamma function to evaluate (x 2ax-x dx 9. Find the volume generated by revolution of astroid x2/3 + y2/3 =a2/3 about x-axis. 10. What does the equation 3x+3y+2xy = 2 becomes when the axes are turned through an angle of 45 to the original axes? 5. Find the radius of curvature at origin for the curve x + y = 3axy. 6. Show that x log(sin x)dx = = -log- 2 1 7. Apply the rule of differentiation under integral sign to evaluate sin x deduce that dx = 2 -ax e sin x X 0 2a dx and hence 8. Define Beta function. Apply Beta and Gamma function to evaluate (x 2ax-x dx 9. Find the volume generated by revolution of astroid x2/3 + y2/3 =a2/3 about x-axis. 10. What does the equation 3x+3y+2xy = 2 becomes when the axes are turned through an angle of 45 to the original axes?

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5 To find the radius of curvature at the origin for the curve 2 y 3axy we can use the formula for th... View the full answer