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Exercice 1: Complétez le texte en écrivant le numéro suit d'une phrase qui convient : Coordonnées ; points; point moyen. Séries statistiques. Analgèle. L'unnuage de N. Mi de cornbes associée à une double (X; Y) le point G bé. Telles que : X = (x1 + x2+...+ xn) / N et Y = (y1 + y2+....+ y ) / N

Mathematics

ScanSolve AI Answer

Answer

C

Step-by-step solution

2 steps
  1. Solve Question 1.

    The expression is ex⋅e3e^x \cdot e^3.
    Using the property am⋅an=am+na^m \cdot a^n = a^{m+n}:

    ex⋅e3=ex+3e^x \cdot e^3 = e^{x+3}

    The correct option is C.

  2. Solve Question 2.

    The function is f(x)=(5x+1)exf(x) = (5x+1)e^x.
    This is a product of two functions, u(x)=5x+1u(x) = 5x+1 and v(x)=exv(x) = e^x.
    The derivative of a product is given by the formula (uv)′=u′v+uv′(uv)' = u'v + uv'.
    First, find the derivatives of u(x)u(x) and

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