With the initial condition x(1) = 0.5, the solution of the differential equation tdx⁄dt + x= t is
The solution of the differential equation dy⁄dx= ky,y(0)=c is
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Solution
Let X be a zero mean unit variance Gaussian random variable.E[|X|] is equal to _____
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Solution
0.79 + 0.81;
he magnitude of the gradient for the function f (x, y, z) =x2 + 3y2+ z3 at the point (1, 1, 1) is ___________.
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Solution
The minimum eigen value of the following matrix is
\(\begin{bmatrix} 3 & 5 & 2 \\ 5 & 12 & 7 \\ 2 & 7 & 5 \end{bmatrix}\)-
Solution
|A| = 3[60–49] – 5 [25 –14] +2 [35 – 24] = 0
|A| =λ1 × λ2 × λ3= 0Which,implies either of the above eigen values equal to zero. It may be one or two negative eigen values.
Study the following statements.
1.Top lateral bracing prevents the sides way buckling of the chord.
2.Sway bracing transfers the load from top of end posts to bearings.
3.Sway bracing keeps the rectangular shape of the bridge cross-section.The correct answer is
A Z-section is shown in figure. The width at all sections is 20 mm. The centroid location from Y-axis is _______ cm.
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Solution
A clockwise angle ABC (approxi. 120° at B) is to be measured with a theodolite.And the lengths of the lines AB and BC are approximately 5 m and 20 m respectively. If there is a centering error of 1 mm in setting up a theodolite over a survey station then which of the following are true
The whole circle bearing of side AB of an equilateral triangle ABC is 38°45′. Then the bearing of the third side CA of the triangle is
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Solution
Widening of the roads on curves in hilly region is done
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Solution
Curves on hilly regions are always widened on the inner side so as to reduce centrifugal force.