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How should I use the 'subjonctif'(subjunctive) with the 'verbes d'opinion'?

The 'subjuctif' is used to express willingness, obligation, a suggestion, a feeling, a judgement, a possibility, a doubt.. When we want to express an opinion using verbs such as espérer, croire, dire, affirm...
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Answered by Giulia T. French tutor
4542 Views

Given that abc = -37 + 36i; b = -2 + 3i; c = 1 + 2i, what is a?

Substituting the given values for b and c into the equation for abc , a (-2 + 3i)(1 + 2i) = -37 + 36i Multiplying out the terms in brackets, a (-2 - 4i + 3i - 6) = -37 + 36i Collecting like terms and multipl...
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4684 Views

How can I distinguish when to use the verbs "ser" or "estar"?

Both these verbs are translates as "to be", however they are used in different circumstances. the verb "ser" is used to express permanent states of being, such as characteristics of ident...
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Answered by Hannah C. Spanish tutor
3855 Views

Given that y = exp(2x) * (x^2 +1)^(5/2), what is dy/dx when x is 0?

y = e 2x (x 2 +1) 5/2 The first step is to calculate dy/dx. We can do this by splitting y into two parts and using the chain rule of differentiation: y = uv where u = e 2x and v = (x 2 +1) 5/2 . We now diffe...
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Answered by Adam S. Maths tutor
13495 Views

Use De Moivre's Theorem to show that if z = cos(q)+isin(q), then (z^n)+(z^-n) = 2cos(nq) and (z^n)-(z^-n)=2isin(nq).

De Moivre's Theorem states that if z = cos(q)+isin(q), then z n = (cos(q)+isin(q)) n = cos(nq)+isin(nq) But then z -n = cos(-nq)+isin(-nq). Now, cos(-p)=cos(p), as cosine is a symmetric (even) function, and ...
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