Question and Answers Forum
AllQuestion and Answers: Page 320
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Question and Answers Forum |
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AllQuestion and Answers: Page 320 |
| 2, 3, 5, 7, 11 |
| 2^(−1) =(1/2) |
| 33 |
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| Determine the values of b so that the system of linear equations { ((x+2y+z=1)),((2x+by+2z=2)),((4x+8y+b^2 z=2b)) :} has (a) no solution (b) a unique solution (c) infinitely many solutions |
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| ∫ x^x dx |
| ∫_(0 ) ^∞ e^x ((sinmx)/x)dx=? |
| Find the formula in terms of n S_n =Σ_(j=1) ^∞ (1/(Π_(k=0) ^n (j+k))) |
| A spring with length L and spring constant k is fixed on the ceiling. Hang a mass point m on the bottom of the spring. Find the relation between distsnce h from m to ceiling and time t. Ignore air resistance, friction and gravity of spring. |
| Find the value of S: S = 1 + (1/(1×2)) + (1/(2×3)) + (1/(3×4)) ... |
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| (sin54)^(10) =x_1 x_(1 ) is root ax^2 +bx+c=0 a,b,c is integer a=? |
| challanging question.. if , (1/( 1+(√(1−x+x^( 2) )))) −(x/(1+(√(1+x+x^( 2) ))))=1 find the value of : (x/(x^( 2) +1)) |
| ((sin^3 x−sin x+cos x)/(sin x))=cot x −cos^2 x prove this |
| prove that sec(tan^(−1) x)=(√(x^2 +1)) |
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| s(n)=Σ_(n=1) ^(+oo) (((−1)^n +n^2 )/(n!))x^n =? |
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| What is the value of this infinite sum ((1/2)−(1/3))+((1/2^2 )−(1/3^2 ))+((1/2^3 )−(1/3^3 ))+... |
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