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Using mathematical induction, prove that...

Using mathematical induction, prove that `1/5n^5+1/3n^3+7n/15` is a natural number where `ninN`.

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 14-EXERCISE
  1. sintheta=ksin(theta+phi).show that tan(theta+phi)=(sinphi)/(cosphi-K)

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  2. In /\ABCif1/(a+c)+1/(b+c)=3/(a+b+c),show that angleC=pi/3

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  3. Using mathematical induction, prove that 1/5n^5+1/3n^3+7n/15 is a natu...

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  4. An equilateral triangle in the Argan plane has vertix as z1,z2and z3wh...

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  5. How many arragements can be made out of the letters of the word FAILUR...

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  6. Calcualte the sum of the series :1+3/2+7/4+15/8+31/16+….+tn

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  7. The equation of three sides of a triangle are x + 2y - 5 = 0, x +y = 6...

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  8. Show that the area of the triangle formed by the lines y = m(1) x + c(...

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  9. Find the equation, centre, and radius of a circle which is passes thro...

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  10. By using section formula, show that the points .(1, 2, 3), (-2, 4, 2) ...

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  11. Evaluate lim(xrarrpi//4)(4sqrt2-(cosx+sinx)^5)/(1-sin2x)

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  12. If f(x)=sqrt2x-sqrt(2/x)+(4-x)/(4-x), find the value of f(2)

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  13. If 2x^3 + 5x = 0, where x is a real number, then x = 0’ examine the st...

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  14. ‘If for any real no x, x^3 + x = 0, then x =0’ prove this by the metho...

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  15. A,B,C and D are four mutually exclusive and exhuastive events. If the ...

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  16. Prove thatcos^2alpha+cos^2(120^@-alpha)+cos^2(120^@+alpha)=3/2

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  17. Prove that tan 70^@ = tan 20^@ + 2 tan 50^@.

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  18. Prove that with the help of mathemetical induction. 4+44+444+...upto n...

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  19. If the roots of the equation ax^2+bx+c=0 are alpha,betaand the roots ...

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  20. Draw the graph and find the common region of the following system of i...

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