roducts is uniform throughout the reactor. \( 1 \mathrm{pt})(\mathrm{T} / \mathrm{F}) \) Reaction rates are closely related to mass balance consumption rates.

valuate \( 4.5 \times 10^{7}+15000 \), leaving your answer in standard form

1 sur 3 e 1 (2.5 points) Le connecteur de Sheffer, noté \( \mid \) est défini pour deux assertions mathématiques \( P \) et \( Q \) par : \[ P \mid Q \equiv \operatorname{non}(P \text { et } Q) \] 1. Donner la table de vérité du connecteur \( \mid \). 2. Montrer que les connecteurs ou, \( \Rightarrow \) et non peuvent s'exprimer à l'aide du connecteur de Sheffer. Exercice 2 (2 points) Soit la suite de Fibonacci définie par \( u_{0}=0, u_{1}=1 \) et pour tout \( n \in N: \) \[ u_{n+2}=u_{n+1}+u_{n} \] Montrer par récurrence double que pour tout \( n \in N . u_{n}<2^{n+1} \)

Fractions Decimals Percentages and Basic Geometry Lesson 2 Find the area of trapezoid with height of 4 cm , and 2- cm and \( 7-\mathrm{cm} \) bases.

A crane is required to lift loads of up to \( 1.0 \times 10^{5} \mathrm{~N} \). (a) What is the minimum diameter of the steel cable that must be used? (b) If a cable of twice the minimum diameter is used and it is 8.0 m long when no load is present, how much longer is it when supporting a load of \( 1.0 \times 10^{5} \mathrm{~N} \) ? (Data for steel: \( E=2 \times 10^{11} \mathrm{~Pa} \), proportional limit \( =2.0 \times \) \( 10^{8} \mathrm{~Pa} \), elastic limit \( =3.0 \times 10^{8} \mathrm{~Pa} \), and tensile strength \( =5.0 \times 10^{8} \mathrm{~Pa} \).)

7. (a) Functions \( f \) and \( g \) are de (i) Find and simplify exp (ii) Hence find the value (iii) Find the value of \( b(b \) (iv) Find and simplify an The function h is defi (v) \( \quad \) Find an expression fo (b) Prove that the function \( f( \) (c) Determine whether the fo (i) \( f(x)=x^{2}+x \quad \) (ii) \( f(x \) (v) \( f(x)=\sin x \cos x \)