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Find dy/dx of the following x=costheta...

Find dy/dx of the following
`x=costheta`,`y=sintheta` at `theta=pi/4`

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MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Find dy/dx of the following x^2+xy+y=100

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  2. Find dy/dx of the following y^x=2^x

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  3. Find dy/dx of the following x=costheta,y=sintheta at theta=pi/4

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  4. Evaluate the integrals intx/((x+1)(x+2))dx

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  5. Evaluate the following int0^1 xe^(x^2)dx

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  6. Evaluate the following int-5^5 abs[x+2]dx

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  7. Consider the parabolas y^2=4x,x^2=4y Draw a rough figure for the abov...

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  8. Consider the parabolas y^2=4x,x^2=4y Find the point of intersection ...

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  9. Consider the parabolas y^2=4x,x^2=4y Find the area bounded by these ...

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  10. Find the shortest distance between the lines whose vector equations ...

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  11. (i) If a plane meets positive x axis at a distance of 2units from th...

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  12. A die is thrown twice let the event A be 'odd number on first throw' a...

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  13. If f(x)=x/(x-1) ,x!=1 Find fof(x)

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  14. if f(x)=x/(x-1) ,x!=1find the inverse of f

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  15. Using elementary row operations, find the inverse of the matrix [[1,...

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  16. f(x) is a strictly increasing function, if f'(x) is........a)Positive...

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  17. Show that the function F given by f(x)=x^3-3x^2+4x,x in R is stri...

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  18. int0^af(a-x)dx =..... a)int0^(2a)f(x)dx b)int-a^af(x)dx c)int0^af(x)dx...

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  19. Find the value of int0^(pi/2)sin^4x/(sin^4x+cos^4x)dx

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  20. Find the area of the region bounded by the curve y^2=x x-axis and ...

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