For questions 10-12 consider The centripetal acceleration of a particle moving in a circle is given by alr,v) = where v

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For Questions 10 12 Consider The Centripetal Acceleration Of A Particle Moving In A Circle Is Given By Alr V Where V 1 (173.53 KiB) Viewed 70 times

For questions 10-12 consider The centripetal acceleration of a particle moving in a circle is given by alr,v) = where v is the velocity and r is the radius of the circle. Approximate the maximum percent error in measuring the acceleration resulting from errors of m% in v and n% in r. 10. Consider the following statements (which statement(s) is/are correct) да oza 2 (i) = ay avv Ov ov? 2. 2v (ii) 2 11. Consider the following statements (which statement(s) is/are correct) dla 2v2 (i) = (ii) Or ,3 да =a, = v? In 12. The % change in a is given by: 13. 2 For questions 13-16 consider the function z=(x–1)? +(y-2)? to determine the stationary point(s) and the nature of thereof. The stationary point(s) is/are determined by дz Oz (1) -0, = 0, and solving for x and y дх ду ²2 0, 0, and solving for x Ox x² (ii) 14. The calculated stationary point(s) is/are: 15. The nature of the stationary point(s) is determined using 2 a² дхду 222 22 ax ày? >0 ->0 min ( 1 )。 222222 Ox?lay? 2 az дяду >0; 0. min (i) (ii) 222 дхду s () 是 >0 <O..max 「。。。 022 дяду >0; 0 max ax? az az <0. saddlepoint <0 saddlepoint .. дхду. ax дяду