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Find the number of solutions x in [0,2pi) to the equation 7sin x +2(cos x)^2 =5.

The problem seems to be hard as the equation involved both cosx and sinx But we can relate the two as (cosx)^2 + (sinx)^2 = 1, so we can rearrange this as 0 = 2(sinx)^2 - 7sinx + 3. This quadratic in sinx ha...
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Answered by James R. • MAT tutor
3271 Views

Explain how SSRI's ares used in the treatment of depression.

SSRIs or selective serotonin reuptake inhibitors can be used to treat depression. They are used as they inhibit the reuptake of the neurotransmitter, serotonin, in the presynaptic cell. This increases the le...
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Answered by Tiff S. • Psychology tutor
2437 Views

what is the correct word order for a sentence in chinese?

The basic word order is: person (+ time) (+adverb) (+ place) (+negation) (+ modal verb) + verb (+ duration) + object where you can leave out the things in brackets： Some examples 我在花园喜欢踢足球 I like to play foo...
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Answered by Daniel R. • Mandarin tutor
2799 Views

Prove that 1+4+9+...+n^2 = n(n+1)(2n+1)/6.

Consider the case n=1. Then 1(1+1)(2*1+1)/6 = 1 = 1^2 and so the claim is true for n=1. Suppose the claim is true for some positive integer n, so that 1+4+9+...+n^2 = n(n+1)(2n+1)/6. Then by the inductive hy...
JR
21476 Views

Quand j’étais jeune, je voulais être actrice mais maintenant je voudrais étudier le droit. True or false. 1)Alex is a girl. 2)Alex is a lawyer. 3)Alex wanted to be an actor.

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Answered by Tiff S. • French tutor
2480 Views