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SHARAM PUBLICATION-MODEL QUESTION PAPER -17-EXERCISE
- Find (dy)/(dx) when y=cot^-1tan(pi/2-x)
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- If the radius of a sphere is doubled, then its volume is increase by .
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- int0^(pi/2)In(tanx+cotx)dx
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- Write the order of the differential equation of the system of ellipse ...
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- If vectors vec(a) and vec(b) are such that vec(a) = 3, |vec(b)| = (2)/...
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- Find the direction cosines of the line (4-x)/2=y/2=(1-z)/3
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- For what valueof K is the following function continuous at x = 2 ?f(x)...
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- If x=acost,y= tsint then find (dy)/(dx)
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- Differentiate the function x^(cosx)w.r.t.x
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- Find the slope of the tangent to the curve y=sin 3t,x=2t at t=pi/4
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- If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...
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- Write the value of x-y+z from the relation [[x+y+z],[x+z],[y+z]]=[[4],...
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- Find the transpose of the matrix [[3,-2,-4],[3,-2,-5],[-1,1,2]].
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- Prove the following: [[b^2-ab,b-c,bc-ac],[ab-a^2,a-b,b^2-ab],[bc-ac,...
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- Using the properties of determinants prove that |{:(a+b+2c,a,b),(c,b...
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- Evaluate int(x+sqrt(x^2+a^2))dx
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- Evaluate intcosec^2xsqrt(cotx)dx
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- Prove that int0^(pi/2)lnSinxdx=-pi/2ln2
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- Determine the area of the region between the curves y=cosx and y=sinx,...
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- Find the general solution of the differential equation (1+x^2) tan^-1y...
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