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What is the slope of the normal to the c...

What is the slope of the normal to the curve `x^(2/3)+y^(2/3)=20` at the point (8, 64)?

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MODERN PUBLICATION-TEST PAPER 1-PROBLEM
  1. Find x and y if [[1,3],[2,-1]][[x],[y]] = [[4],[1]].

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  2. Fill in the blanks with appropriate answer from the brackes. If [[a,b...

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  3. What is the slope of the normal to the curve x^(2/3)+y^(2/3)=20 at the...

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  4. What is the value of int0^(pi/2)log tan x dx?

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  5. Write the general solution of (ydx-xdy)/y=0.

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  6. Write the distance between the plane x-2y+z=6 and 2x-4y+2z=8

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  7. What is the image of the point (6, 3, -4) with respect to yz- plane ...

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  8. Check if the relation R on set of real numbers, defined as R = {(a,b) ...

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  9. Examine f:(-1,1) rarr R,f(x) = x/(1-x^2functions if it is (i) injecti...

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  10. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

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  11. Let A and B are symmetric matrices of the same order. Prove that AB is...

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  12. Express abs((a^2,2ab,b^2),(b^2,a^2,2ab),(2ab,b^2,a^2)) in the form of ...

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  13. Verify that [AB]^T = B^T A^T whereA=[[1,2,3],[3,-2,1]],B=[[1,2],[2,0],...

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  14. Discuss the continuity and differentiability of function f(x)=|x|+|x-1...

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  15. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

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  16. Find dy/dx for (x+y)^(cosx) = e^(x+y).

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  17. Prove that , if y=logtan((pi)/(4)+(x)/(2)) , then (dy)/(dx)=secx

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  18. Evaluate : int (cos px + cos qx)/(sin px + sin qx) dx.

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  19. Evaluate int (4x-5)/(x^2-x-2)dx

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  20. FInd the area of the region bounded by y^2 = x and y = x.

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