Q3 of 29 Page 1

Write the order of the differential equation:

We know that the order of a differential equation is the maximum number of times the given equation is differentiated with respect to a variable.


Order ofis 2


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1

If A and B are invertible matrices of order 3, |A| = 2 andFind |B|.

 2

Differentiate sin2(x2) w.r.t x2.

 4

Find the acute angle which the line with direction cosinesn makes with the positive direction ofz-axis.

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Find the direction cosines of the line:

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Let A = Z × Z and * be a binary operation on A defined by (a, b)*(c, d) = (ad + bc, bd).

Find the identity element for * in the set A.