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What is (dy)/(dx) at t=(3pi)/4 when x= a...

What is `(dy)/(dx)` at `t=(3pi)/4` when `x= a cos^3t`, and `y = a sin t`.

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SHARAM PUBLICATION-MODEL QUESTION PAPER-3-EXERCISE
  1. If [{:(a+4,3b),(8,-6):}]=[{:(2a+2,b+2),(8,a-8b):}] then write the val...

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  2. Evaluate the following determinants. [[1,x,y],[0,sinx,siny],[0,cosx,c...

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  3. What is (dy)/(dx) at t=(3pi)/4 when x= a cos^3t, and y = a sin t.

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  4. Write the set of values of k for which the function f (x) = kx-sinx is...

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  5. Write the value of int(x + cos6x)/(3x^2+sin6x)dx.

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  6. Find the particular solution of the differential equation (dy)/(dx)=3...

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  7. If veca and vecb are unit vectors and veca+vecb is also a unit vector,...

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  8. If the cartesian equation of a line is (3-x)/5=(y+4)/7=(2z-6)/4 then w...

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  9. If Z is the set of all integers and R is the relation on Z defined as...

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  10. If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} i...

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  11. if ** is the binary operation on N given by a**b= L. C. M of a and b. ...

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  12. Prove that tan^(-1)sqrt(x) =(1)/(2) cos^(-1)((1-x)/(1+x)), x in (0, 1)...

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  13. Sole the following LPP graphically Maximise Z=6x(1)+7x(2) Subject ...

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  14. If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...

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  15. Using elementary operation find the inverse of [(2,3),(5,7)]

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  16. Prove that the following. [[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=...

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  17. Prove the following: [[b^2-ab,b-c,bc-ac],[ab-a^2,a-b,b^2-ab],[bc-ac,...

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  18. Find the value of k if the function f(x) defined by f(x)={(2x-1,when x...

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  19. If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...

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  20. If sin y = x sin (a + y) then show that (dy)/(dx)=(sin^2(a+y))/(sina)

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