Solve Q37, 38, 39 explaining detaiily each step udy aid in Advanced level Mathematics..31. Given that y = x-2x the approximate change in y when x inereases from 2 to 2.003 is: A.0.01B. 0.02C. 3.24D. 0.2432. Given that y = 2x'+ I the approximate increase in x when y increases from 3 to 3.06 is: A.0.01B. 0.02C. 3.24D. 0.2433. An error of 2% is made in measuring the side of a cube. The corresponding percentage errorin the volume of the cube is:A. 2%В. 3%C. 5%D. 6%34. An error of 0.5% is made in measuring the radius of a disc. The approximate percentage errorthis will cause in the area isA. 5.0%B. 1.0%C. 0.05%D. 0.25%35. If air is leaking from a balloon at the rate of lem' s' the rate of decrease of the surface areaof the balloon when the radius is 3cm is:A. em's' B. cm s C. 2em s' D. 3em s"36. The equation of the tangent to the curve x - 2y = 8 at the point (4, 2) isA. y x-437. The equation of the tangent to the curve defined by x 3t, y=- at the point with parameterB. y x-2C. y=-x-2D. y = x + 2is:A. tx + y-6=0 B. x + ty-6t=0 C. x + ty-6t =0 D.tx-ty +3t-3= 038. The equation of the normal to the curve x + xy-5 0 at the point (1, 2) isA. 2x – 3y + 4 = 0 B. 3x-2y +4 =0 C. 3x+ 2y - 7=0 D. 2x - 3y + 8 =039. x + 3y = 5 is normal to the curve y=x+ 5x + 6 at the point with coordinateA. (-4,2)B.(-1,-c(-)D. (-1.2)40. The curves y sin (x+ and y=a+bxtouch when x=0. The values of a and b are:1+xA. a=, b=1 B. a= V3, b=1 + V3C. a =D. a= v3, b =(1+ V3)41. The asymptotes of the curve whose equation is y =(x-1)(x-5)are(x+1)(x-3)A.x = -1, x = -3, y = 1C.x 1, x = 5, y 1 D. x = -1, x 3,y = 1B. x = -1,x = 3,y -13x2+ 142. The equations of the asymptotes to the curve y =are2x24 x-3A. - 1 B. x= 1. X= -1. y 1C. x=-x-1, y=D. y =xx=13x43. If f(x) =then as x o the curve y = f(x) approaches the line2x+1A. y= 3 from aboveB. y = 3 from below47

Question

Solve Q37, 38, 39 explaining detaiily each step udy aid in Advanced level Mathematics..31. Given that y = x-2x the approximate change in y when x inereases from 2 to 2.003 is: A.0.01B. 0.02C. 3.24D. 0.2432. Given that y = 2x'+ I the approximate increase in x when y increases from 3 to 3.06 is: A.0.01B. 0.02C. 3.24D. 0.2433. An error of 2% is made in measuring the side of a cube. The corresponding percentage errorin the volume of the cube is:A. 2%В. 3%C. 5%D. 6%34. An error of 0.5% is made in measuring the radius of a disc. The approximate percentage errorthis will cause in the area isA. 5.0%B. 1.0%C. 0.05%D. 0.25%35. If air is leaking from a balloon at the rate of lem' s' the rate of decrease of the surface areaof the balloon when the radius is 3cm is:A. em's' B. cm s C. 2em s' D. 3em s&#34;36. The equation of the tangent to the curve x - 2y = 8 at the point (4, 2) isA. y x-437. The equation of the tangent to the curve defined by x 3t, y=- at the point with parameterB. y x-2C. y=-x-2D. y = x + 2is:A. tx + y-6=0 B. x + ty-6t=0 C. x + ty-6t =0 D.tx-ty +3t-3= 038. The equation of the normal to the curve x + xy-5 0 at the point (1, 2) isA. 2x – 3y + 4 = 0 B. 3x-2y +4 =0 C. 3x+ 2y - 7=0 D. 2x - 3y + 8 =039. x + 3y = 5 is normal to the curve y=x+ 5x + 6 at the point with coordinateA. (-4,2)B.(-1,-c(-)D. (-1.2)40. The curves y sin (x+ and y=a+bxtouch when x=0. The values of a and b are:1+xA. a=, b=1 B. a= V3, b=1 + V3C. a =D. a= v3, b =(1+ V3)41. The asymptotes of the curve whose equation is y =(x-1)(x-5)are(x+1)(x-3)A.x = -1, x = -3, y = 1C.x 1, x = 5, y 1 D. x = -1, x 3,y = 1B. x = -1,x = 3,y -13x2+ 142. The equations of the asymptotes to the curve y =are2x24 x-3A. - 1 B. x= 1. X= -1. y 1C. x=-x-1, y=D. y =xx=13x43. If f(x) =then as x o the curve y = f(x) approaches the line2x+1A. y= 3 from aboveB. y = 3 from below47

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37. The equation of the tangent to the curve defined by x- 3t, y =-at the point with parameter is: A. ts ty-6- 0 B. x+ ty - 6t 0 C. x +t'y-6t = 0 D. t'x-ty +3t-3 0