Q2: The 1irtmlume cf a cube is increasing at the rate cf 3 cm3rs. How fast is the surface area increasing when the length of an edge is 12 cm? Question 4: .3? '. 2 ". Find the values of x and y 50 that the vectors 4 +31 and .n +-"1 are equal \f\f\f\f\f\fQ4: An eclge (If a variable cube is increasing at the rate [if 3 cmis. Haw fast is the ucnlume of the cube increasing 1when the edge is 1G cm long? \fQuestion 13: Find the direction cosines of the vector joining the points A (1, 2, 3) and B (1, 2, 1) directed from A to B. \f\f\fQuestion 19: If 5 and are two collinear vectors, then which of the following are incorrect: A. 5:35, for some scalar A B. (i = if; C. the respective components of '5 and 5 are proportional D. both the vectors '5 and b have same direction, but different magnitudes \f\f15. Question A binary operation * i5 defined an the Set R of all real numbers by the rule El .-::b = a: * b2 far all a, b E R. Write the identityr element for * an Ft. \f5f 5' ~ 2&7 Find a vector in the direction of vector which has magnitude 8 units. \f\f\f\f2. Question On the SET: Z of all integers a binary operation * i5 defined by a * t: = a + b + 2 for all a; b E Z. Write the inverse of 4. \f\f\f\fQuestion ?: Find the unit vector in the direction of the vector";I = t 4'} +2k. \f2|]. Question Let * bE a binary.r operation on set of integers. I, defined by a * b = 23 + t: -3. Find the value of 3 * 4