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Solution - Find a and b, so that the function f(x) defined by - Continuity - Continuity of a Function at a Point

Questions

Find a and b, so that the function f(x) defined by

f(x)=-2sin x,       for -π≤ x ≤ -π/2

     =a sin x+b,  for -π/2≤ x ≤ π/2

     =cos x,        for π/2≤ x ≤ π

is continuous on [- π, π]

Find α and β, so that the function f(x) defined by

f(x)=-2sin x,       for -π≤ x ≤ -π/2

     =α sin x+β,  for -π/2≤ x ≤ π/2

     =cos x,        for π/2≤ x ≤ π

is continuous on [- π, π]

Solution

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APPEARS IN

2014-2015 (March)
Question 6.1.1 | 3 marks
2015-2016 (July)
Question 6.1.3 | 3 marks
Solution for question: Find a and b, so that the function f(x) defined by concept: Continuity - Continuity of a Function at a Point. For the courses HSC Arts, HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)
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