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Write theequationofthelinepassing throug...

Write theequationofthelinepassing through the point (4, —6,1) and parallel to the line `x-1/1 = y+2/3 = z-1/-1`.

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MODERN PUBLICATION-SAMPLE PAPER 2013-EXERCISE
  1. Write the degree of the differential equation In((d^(2)y)/(dx^(2)))...

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  2. If the vectors veca = 2hati + 3hatj +-6hatk and vecb = alphahati-hatj ...

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  3. Write theequationofthelinepassing through the point (4, —6,1) and para...

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  4. What is the image of the point (—2, 3, —5) respect to the zx-plane ?

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  5. Write the matrix which when added to the matrix [{:(2,-3),(-4,7):}]gi...

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  6. write the value of c(1)^(8) + c(2)^(8) +.....+ c(8)^(8).

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  7. If P(A) = 0.6, P(B) = 0.4 and P(A nn B) = 0.2, then fimd the value of ...

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  8. Find the derivative of x^(sinx) w.r.t.x.

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  9. Differentiate sin^(-1) ((2X)/(1+X^(2))) with respect to cos^(-1) ((1-X...

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  10. Find the slope of the tangent to the curve x=2(t-sin t) and y = 2(1...

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  11. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

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  12. Find the extreme values of the function y = X + 1/x.

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  13. Find the intervals where the following functions are (a) increasing an...

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  14. Integrate : int (sin6x + sin4x) / (cos6x + cos4x) dx.

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  15. Evaluate the following integrals : int(dx)/(x[(logx)^(2)+25])

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  16. Integrate : int sin^(-1)xdx.

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  17. Evaluate int0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cos x))dx

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  18. solve , dy/dt = e^((2t)+(3y)).

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  19. solve , dy/dx + y = e^(-x).

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  20. Find the differential equation whose general solution is y = a cos x +...

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