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Find the equation of the tangent to the curve `y=3x^2` at (1,1)

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A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. Find the minimum and maximum value, if any, of the function f(x)=(2x-1...

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  2. Which of the following function has neither local maxima nor local min...

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  3. Find the equation of the tangent to the curve y=3x^2 at (1,1)

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  4. Use differentiation to approximate sqrt36.6.

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  5. The angle between the vectors veca and vecb such that absveca=absvecb=...

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  6. Find the unit vector along veca-vecb where veca=i+3j-k and vecb=3i+2j+...

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  7. If the points A and B are (1,2,-1) and (2,1,-1) respectively, then vec...

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  8. Find the value of lambda for which the vectors 2i-4j+5k, i-lambdaj+k ...

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  9. Find the angle between the vectors veca=hati+hatj-hatk and vecb=hati-h...

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  10. Prove that int cos^2xdx=x/2+(sin2x)/4+c

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  11. Find int 1/sqrt(2x-x^2)dx

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  12. Find int xcosxdx

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  13. Evaluateint0^pilog(1+cosx)dx

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  14. Find int0^5(x+1)dx as limit of a sum.

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  15. The area bounded by the curve above the x-axis, between x = a and x = ...

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  16. Find the area of the circle x^2+y^2=4 using integration

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  17. y=acosx+bsinx is the solution of the differential equation (d^2y)/...

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  18. Find the solution of the differential equation xdy/dx+2y=x^2,(x!=0) ...

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  19. Find the shortest distance between the lines barr=(2i-j-k)+lambda(3i-5...

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  20. Equation of the plane with intercepts 2,3,4 on the x,y,z axis respecti...

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