5. Find the centroid of the region bounded by the curves: a) y = x³; x+y= 2; x = 0 b) y = x; and x = y² - y

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Find the centroid of the region bounded by the curves:

a) y=x^3; x+y=2; x=0

b) y=x; and x=y^2-y

**5. Find the centroid of the region bounded by the curves:**

a) \( y = x^3 \); \( x + y = 2 \); \( x = 0 \)

b) \( y = x \); and \( x = y^2 - y \)

**6. Given the recursive sequences, write out the first six terms:**
Transcribed Image Text:**5. Find the centroid of the region bounded by the curves:** a) \( y = x^3 \); \( x + y = 2 \); \( x = 0 \) b) \( y = x \); and \( x = y^2 - y \) **6. Given the recursive sequences, write out the first six terms:**
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