1. Consider the following function 2sin(x+), x20 ex√3 x ≤0 (a) Plot both f(x) and f'(x) for x € [-1, 1]. Include enough points so that the curve you plot appears smooth. Use different colors and separate label to represent the function and its derivative respectively. Label the axes x and y, and use grid. You must use Sympy and Matplotlib. Manual differentiation is not allowed. f(x) = (b) Using numerical method (trapezoid or rectangular rule), evaluate the following integral accurate upto 3 decimal points. (You cannot use SymPy or SciPy) [ f(x)dx

1. Consider the following function 2sin(x+), x20 ex√3 x ≤0 (a) Plot both f(x) and f'(x) for x € [-1, 1]. Include enough points so that the curve you plot appears smooth. Use different colors and separate label to represent the function and its derivative respectively. Label the axes x and y, and use grid. You must use Sympy and Matplotlib. Manual differentiation is not allowed. f(x) = (b) Using numerical method (trapezoid or rectangular rule), evaluate the following integral accurate upto 3 decimal points. (You cannot use SymPy or SciPy) [ f(x)dx

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Simplify the following function using k-maps. F(X,Y)=X+X'Y
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My apologies for misunderstanding. Here's the translation: "A function, f:f(x,y)=x2+2y2−12x+xy is defined on the domain: Ω = {(x, y): -1 ≤ x ≤ 1, -1 ≤ y ≤ x}. Create a contour plot of the function and plot the boundary of Ω with a dashed line: In Python
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