Elective Calculus I
BE Computer (PU) Semester 13 credit hours
Calculus I
SyllabusComing soonUnits and teaching hours for this subject.Open NotesBeing writtenUnit-by-unit notes with examples.Open Old Questions9 questionsFrom PU Spring, PU FallOpen MCQ PracticeComing soonAnswer, see if you’re right straight away, and read why.Open
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a) Find the asymptotes of the curve: xtx?y—xy? y3+x? y? 2=0. b) i. Find the radius of curvature at any point of the curve 4+4 x =a(1+sint) y =a(a —cost) ii)…PU Spring7Attempt (Any three) of the following: 3x5 1 a) Evaluate: f dx b) Prove that = =2 —f ° Vx+Ja— x Saag © c) Evaluate: ¢ cos 30 sin? 60 d@ (apply beta gamma…PU Spring2a) State and prove Euler’s theorem on homogeneous functions of two : variables of degree n. If sinu= = then show that du du xx +y ra tanu. i i b) Find the…PU Spring19a) 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…PU Spring8