### Mathematical Series and RepresentationThis section provides exercises to understand mathematical functions and series representations.#### ExercisesEvaluate the following expressions:1. \[ \sqrt{2\pi} \; \frac{11^{\frac{1}{2}}}{e^{11} \; e^{\frac{1}{12 \cdot 11}}} = \begin{array}{|c|c|c|c|c|c|c|c|c|} \hline & & & & & & & & \\ \hline \end{array} \text{{ ...}} \]2. \[ \sqrt{2\pi} \; \frac{12^{\frac{1}{2}}}{e^{12} \; e^{\frac{1}{12 \cdot 12}}} = \begin{array}{|c|c|c|c|c|c|c|c|c|c|} \hline & & & & & & & & & \\ \hline \end{array} \text{{ ...}} \]3. \[ \sqrt{2\pi} \; \frac{13^{\frac{1}{2}}}{e^{13} \; e^{\frac{1}{12 \cdot 13}}} = \begin{array}{|c|c|c|c|c|c|c|c|c|c|c|} \hline & & & & & & & \ast & & & \\ \hline \end{array} \text{{ ...}} \]4. \[ \sqrt{2\pi} \; \frac{14^{\frac{1}{2}}}{e^{14} \; e^{\frac{1}{12 \cdot 14}}} = \begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & & & & & & \ast & \ast & \\ \hline \end{array} \text{{ ...}} \]5. \[ \sqrt{2\pi} \; \frac{15^{\frac{1}{2}}}{ **Problem.** In each line, give an approximate value in decimals using a calculator.1. $\sqrt{2\pi} \cdot 2^{1 + \frac{1}{2}} \cdot e^{-2} \cdot e^{\frac{1}{12 \cdot 2}} =$ $\boxed{1} \boxed{0} \boxed{0} \boxed{0} \boxed{3} \cdots$2. $\sqrt{2\pi} \cdot 3^{2 + \frac{1}{2}} \cdot e^{-3} \cdot e^{\frac{1}{12 \cdot 3}} =$ $\boxed{2} \boxed{0} \boxed{0} \boxed{0} \boxed{1} \cdots$3. $\sqrt{2\pi} \cdot 4^{3 + \frac{1}{2}} \cdot e^{-4} \cdot e^{\frac{1}{12 \cdot 4}} =$ $\boxed{6} \boxed{0} \boxed{0} \boxed{0} \boxed{2} \cdots$4. $\sqrt{2\pi} \cdot 5^{4 + \frac{1}{2}} \cdot e^{-5} \cdot e^{\frac{1}{12 \cdot 5}} =$ $\boxed{} \boxed{} \boxed{} \boxed{} \boxed{} \cdots$5. $\sqrt{2\pi} \cdot 6^{5 + \frac{1}{2}} \cdot e^{-6} \cdot e^{\frac{1}{12 \cdot 6}} =$ $\boxed{} \boxed{} \boxed{} \boxed{} \boxed{} \cdots$6. $\sqrt{2\pi} \cdot 7^{6 + \frac{1}{2}} \cdot e^{-7} \cdot e^{\frac{1}{12 \cdot 7}} =$ $\boxed{} \boxed{} \boxed{} \boxed{} \boxed{} \cdots$7. \(\sqrt{2\pi} \cdot

Here question number is not mentioned, so we will solve the next part (4). For more help please post…

Answered: (4) V2T 54+을 e-5 er е 12.5 %3D

(4) V2T 54+을 e-5 er е 12.5 %3D

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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