Elective Calculus I

Calculus IPU Spring

a) Find the maximum value of x? + y? +2? when +5 +7 = Lusing Lagrange’s multipliers method. b) Define Bernoulli’s equation. Solve: 2 +xsin2y =x° cos? y. OR (ay The growth rate of a culture of…

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  • a) Find the maximum value of x? + y? +2? when +5 +7 = Lusing Lagrange’s multipliers method.
  • b) Define Bernoulli’s equation. Solve: 2 +xsin2y =x° cos? y. OR (ay The growth rate of a culture of bacteria is proportional to the number of bacteria present. After one day it is 1.5 times of original number. Find after how many days it will be
  • i) double
  • ii) triple.
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