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SHARAM PUBLICATION-MODEL QUESTION PAPER-5-EXERCISE
- If f(x) = sqrtx and g (x) = x/4 then what is (g of) (x).?
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- Write the angle between veca and vecb with magnitude sqrt5 and 2 respe...
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- Write the distance of the plane 3x-4y + 12z = 3 from the origin.
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- Find the least positive integer r such that 185 in [r]7
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- If f:R to R is the function defined by f(x)=4x^(3) +7, then show that ...
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- if ** is the binary operation on N given by a**b= L. C. M of a and b. ...
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- Show that 2 tan^-1(1/4) + 2 tan^-1 (2/9) = tan^-1(4/3).
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- Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=abc(1+1/a+1/b+1/c)or(ab...
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- Prove that |(1, a, a^3),(1, b, b^3),(1, c, c^3)|= (a-b)(b-c)(c-a)(a+b+...
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- If A = [(-1, 3, 5),(1, -3, -5),(-1, 3, 5)] then show that A^2 = 9A
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- If [(x+y, x-2),(2x-y,0)] = [(2,2),(1,0)] then find the values of x,y?
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- Show that (a+1) is a factor of abs([(a+1),2,3],[1,a+1,3],[3,-6,a+1])
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- Find the value of a such that the function f defined by f(x)={((sinax...
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- Differentiate tan^(-1) frac (sqrt(1+x^2) + sqrt(1-x^2))(sqrt(1+x^2) ...
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- If y = (sinx)^x find (dy)/(dx).
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- Find the points on the curve y = x^3 - 11x + 5 at which the equation o...
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- Evaluate intx/((x^2 + 4)) dx.
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- Evaluate int(0)^(pi//4)log(1+tanx)dx.
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- Evaluate int(sinx + cosx)/(sqrt(sin2x))dx
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- Solve dy + e^-y sin x dx = 0.
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