7. L { cos² t}

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Q: We showed in class that B = {2-3x+x², 6-7x+x³} is a basis for the subspace U={p E R3[r]|p(1) = 0,…

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Q: Which function is always positive? 3 O a) ♬(x) = 2x²+4 Ob) f(x)- 1 O c) x)- (x-4)² +4 d) B and C

A: We have to check which Function is always positive

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Q: 3. Evaluate f 2 arctan (2) dx + ln(x² + y²)dy where C is defined by x = 4 + 2 cos 0 and y = 4 sin 0.

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Q: 2 -2 EXB Solve X²³ Y-3x² y +6xý - 6 y = 30 X By using inverse operator

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Q: Let B = {B]. A} mation x→→ Ax. =[%] be a basis for R2 and A = Find the B-matrix for the transfor-

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