Maths Questions and Answers List

A lot of 100 watches is known to have 10 defective watches.
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state asa congruency rule
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P(t)=2+t+2t2-t3 then the values of p(0),p(1),p(2) are respectively
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For the following probability distribution determine standard deviation of the random variable X.
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The probability distribution of a random variable X is given below:
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Determine the area under the curvey y = √(a2-x2 included between the lines x = 0 and x = a.
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Solve: y + d/dx(xy) = x(sinx + logx)
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Find the area of the region bounded by y = √x and y = x.
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Consider the probability distribution of a random variable X:
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Find the area bounded by the curve y = √x,x = 2y+3 in the first quadrant and x-axis.
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Solve the differential equation (1+y2)tan-1 x dx + 2y(1+x2)dy = 0.
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Find the differential equation of system of concentric circles with centre (1,2) .
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Find the area bounded by the curve y = sinx between x = 0 and x = 2π.
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Find the area enclosed by the curve y = -x2 and the straight line x+y+2 = 0.
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Find the area of the region bounded by the curve y2 = 2x and x2+y2 = 4x.
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Integrate ∫e6logx - e5logx/e4logx - e3logx dx
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At what point, the slope of curve y = -x3 + 3x2 + 9x - 27 is maximum ? Also find the maximum slope.
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Verify that ∫2x+3/x2+3x dx = log |(x2+3x|+C
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Integral from 0 to π xlog sinx dx.
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Verify that ∫(x2+2/x+1)
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