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Find the slope of the tangent to the cur...

Find the slope of the tangent to the curve `x = sin 3t, y = cos 2t, at t = pi/4`.

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SHARAM PUBLICATION-MODEL QUESTION PAPER-2-EXERCISE
  1. Find the value of |{:(17,58,97),(19,60,99),(18,59,98):}| without expan...

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  2. Find the value of k, so that the function defined by f(x)={(kx+1", if...

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  3. Find the slope of the tangent to the curve x = sin 3t, y = cos 2t, at ...

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  4. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

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  5. Evaluate: int(log sinx )/(tan x)dx.

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  6. Evaluate int(dx)/(x(x^(5)+3)).

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  7. Evaluate int(0)^(pi//4)log(1+tanx)dx.

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  8. Determine the area the of the region between the curves y=cos x and y=...

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  9. Solve the differential equation (1+x^2)(dy)/(dx)+y= tan^(-1)x

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  10. Vectors veca,vecb, vecc are such that veca + vecb + vecc = 0 and |veca...

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  11. Show by vector method that the line joining the points (1, 4, 2) and (...

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  12. Find the co-ordinates of the point where the perpendicular from the or...

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  13. Find the equation of the plane passing through the line x = y = z and ...

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  14. Find the co-ordinates of a point where the line (x- 2)/3 = (y+1)/4 = (...

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  15. Solve for x tan^-1 ((2x)/(1 - x^2)) + cot^-1 ((1 - x^2)/(2x)) = pi/3(-...

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  16. Find graphically the maximum value of z = 2x + 5y subject to the const...

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  17. Find the values of a and b such that the function f defined by f(x) = ...

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  18. Find (dy)/(dx) if y = x^x + (sinx)^x.

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  19. Find the equations of the tangent to the curve y = x^(2) - 2x + 7, whi...

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  20. Evaluate:- int(x sin^-1x)/sqrt(1- x^2) dx.

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