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UNITED BOOK HOUSE-SET 16-EXERCISE
- Examine whether Rolle's theorem is applicable to the following functio...
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- Evaluate:int (x dx)/sqrt(3x^2+1)
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- Find the intervals in which the function f(x)= x/(x^2+1) is decreasing...
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- Using differentials, find the approximate value of (82)^(1/4).
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- If the vectors 3 hati - 2hatj + mhatk and -2 hati + hatj + 4 hatk are ...
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- Can the numbers 1/2,-1/sqrt2, -1/2 be the direction cosines of a strai...
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- Prove that, if P(A//B)=P(A) then P(A^c//B)=P(A^c).
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- If the probability of success in a single trials is 0.05, how many Ber...
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- Prove that, |[sin A, cosA, sin(A+theta)],[sinB, cosB, sin(B+theta)],[s...
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- If A,B,C be the angles of a triangle, then prove that ,abs((-1,cosC,co...
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- Solve:|[a+x,a-x,a-x],[a-x,a+x,a-x],[a-x,a-x,a+x]|=0
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- If A = |[1,2,-3],[2,3,2],[3,-3,-4]|, find A^(-1)
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- If f(x) = xsqrt (x^2+a^2) +a^2 log(xsqrt(x^2+a^2))then find the value ...
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- If y = a cos(logx) + b sin(log x), show that,x^2(d^2y)/(dx^2)+x(dy)/(d...
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- Integrate:int(2x^2 - 3x+9)/(x^2+4x-5)dx
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- Evaluate: int[(x-l)(x-m)]/[(x-a)(x-b)]dx
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- Solve:(1+x^2)(dy)/(dx) + 2xy = sqrt (x^2+4)
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- Solve: log(dy)/(dx) = 4x - 2y-2: given y = 1, when x = 1.
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- (d) answer any one question : (i) if three vectors vec a, vec b and ve...
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- The position vectors of the points A,B,C and D are 6 hati - 7 hatj, 16...
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