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Calculate the area bounded by y = x³, x = 0 and y = 4.

Show the derivation of the formula.



Cos u/2=±√1+cos u/2.

Show the derivation of the formula.


Sin (u-v)=sin u cos v -cos u sin v

Show the derivation of the formula.


Cos (u+v)=cos u cos v - sin u sin v

10. Find the coefficient of x20 in A(x)=(x10+x11+.....+x25)(x1+x2+....+x15)5(x20+x21+.....+x45)


9. In the expression (1+x5+x9)10 find the coefficient of a) x23 b) x32

6. Team A has probability 2/3 of winning whenever it plays.suppose A plays four Games.find the probability p that A wins more than half of its gamed.


solve the initial value problems y''-2y'+2y=0,y(0)=0,y'(0)=1


If 

<3 is 62 degrees, what is the measure of <2


6. One of the following inferential analysis models is appropriate to test whether ‘There is a significant difference in students’ fear of SPSS before and after SPSS tutorial’.



A. Independent samples t-test



B. Paired samples t-test



C. One sample t-test



D. ANOVA



E. None of the above




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