# XxGaMbiT

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# 4 Questions

 2 Let $H$ be the subgroup of all rotations in $D_n$ and let $\phi$ be an automorphism of $D_n$. Prove $\phi(H) = H$. 1 Use the Fundamental Theorem to deduce the formula for the area of an ellipse. 1 Use Fund Thm to evaluate the integral of $ze^{x^2} dydz + 3ys dydz + (2-yz^7)dxdy$ over surface of the unit cube, except bottom face. 0 Let $\omega = (x^2 - y)dx + (x - y^2)dy$. Verify $\Lambda$* is a contravariant functor from finite dimensional vector spaces to graded algebras.

# 25 Reputation

 +5 Use the Fundamental Theorem to deduce the formula for the area of an ellipse. +10 Let $H$ be the subgroup of all rotations in $D_n$ and let $\phi$ be an automorphism of $D_n$. Prove $\phi(H) = H$. +5 Use Fund Thm to evaluate the integral of $ze^{x^2} dydz + 3ys dydz + (2-yz^7)dxdy$ over surface of the unit cube, except bottom face.

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# 7 Tags

 0 differential-forms × 3 0 algebraic-topology 0 homework × 2 0 abstract-algebra 0 calculus × 2 0 group-theory 0 exterior-algebra

# 1 Account

 Mathematics 25 rep 3