FUTHER MATHS SETION A
2.If alpha & beta are d roots of d equation 2x(squared) -7x+4=0,find d equation whose roots are alpha/beta & beta/alpha. 5.a. Write down dfollowing as column vectors: r= (10N,090deg) q=(8N,135deg) b) use ur answer in 5a) to fin (r+q) 6a.(Note permutation & combination)Evaluate 9P3/15C3 + 5C3/3P2 correct to 2 decimal places b)a committe of 2 tutors & 5 pupils is tobe formed among 6 tutors & 10 pupils.in how many ways can this be done,if one particular tutor must be on d committee & two particular pupils must not be on d committee? FUTHER MATHS SECTION B.....
9a.Find frm d 1st prncple d derivative of f(x)=(2x+3)squared. B)<i cn't type it(integrate) 13.A survey conducted revealed dat 4 out of evry 20 taxi drivers do nt have valid driving licence.if 6 drivers are selected at random cal d proba dat a)exactly 2 b)more dan 3 c)at least 5;have driving licence 14.a)cumulative f curve b) i interquartile range ii % dat passed 15.A bag cntains 4red,6blue&8green identicalmarbles(a)if 3marbles are drawn at random,witout replace,calc d proba dat i)allwil b green ii)all wil hav d same color b)if each marble is replaced b4 anoder is drawn,calc d prob dat all wilhav d same color 18.a)Forces F 1(3N,210) & F2(4N,120) act on a particleof mass 7kg wich is at rest.Calc d i)acceleration of d particle ii)velocity of d particle after 3s b)F1=(2i+3j)N,F2=(-5j)N & F3=(6i-4j)N act on a body.find d magnitude & direction of d 4th force dat will keep d body in equilibrium
11.The images of points(2,3) &
(4,5) under a linear
transformation A are (3,4)& (5,6)
respectively find d a)matrixA; b)
inverse of A; c)point whose
image is (-1,1)
