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
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

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Answer

a^{m+n}$:

Step 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.

Step 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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Solve Question 1. The expression is e^x · e^3.

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

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Solve Question 1. The expression is e^x · e^3. Using the property a^m · a^n = a^m+n: e^x · e^3 = e^x+3 The correct option is C. Step 2: Solve Question 2. The function is f(x) = (5x+1)e^x. This is a product of two functions, u(x) = 5x+1 and v(x) = e^x. The derivative of a product is given by the formula (uv)' = u'v + uv'. First, find the derivatives of u(x) and