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Prove by induction that, for n ∈ Z⁺ , [3 , -2 ; 2 , -1]ⁿ = [2n+1 , -2n ; 2n , 1-2n]

STEP 1: Prove that the theorem holds for n = 1. Substitute n = 1 into the equation and show that the LHS = RHS. STEP 2: Assume that the relation is true when n = k. STEP 3: Prove that the relation holds for ...
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Answered by Flavia T. • Maths tutor
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A particle P of mass 2 kg is held at rest in equilibrium on a rough plan. The plane is inclined to the horizontal at an angle of 20°. Find the coefficient of friction between P and the plane.

For any mechanics question such as this one the best way to start off is by drawing a diagram of the system and including all the forces acting on the particle P. In order to do so, we have to account for th...
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Answered by Fernando B. • Maths tutor
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Der Vorleser Frage- “Michaels Beziehung mit Hanna hat sein ganzes Leben bestimmt”Inwiefern ist das auch deine Meinung?

Im Buch „Der Vorleser“ von Bernhard Schlink geht es um die Beziehung zwischen Michael und Hanna, einem 15-jährigen Jungen und einer 36-jährigen Frau. Diese Affäre hat eine bedeutende Auswirkung auf Michaels ...
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Answered by Roman K. • German tutor
12617 Views

How is systems theory approach applied to the hydrological cycle?

The hydrological cycle can be understood through a systems approach. Systems are bounded and have inputs, outputs and throughputs. The global hydrological cycle is a closed system driven by solar energy and ...
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How successful was Bismarck in dealing with opposition?

Bismarck was successful in managing political opposition as demonstrated through is deft manipulation and pragmatic partnership with the Liberal party to secure consolidation of German unification and pass t...
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Answered by Phoebe D. • History tutor
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