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Question: 1. Find the eigenvalues and eigenvectors and diagonalization matrices by hand and explain each step in details
2. Write a computer code (in any language) for the below iterative eigenvalue computing methods
- Power iteration
- Inverse shifted power iteration
Material for the sides costs 5 dollars per square meter. Find the cost of materials for the cheapest such container.
Prove or give a counterexample: Every multiple of 6 that is greater than or equal to 12 is the sum of two consecutive primes. (For example, 30 = 13+17).
using a trigonometric substitution, find the transformed integral but do not integrate.
How to clarify a rotated conic section - how linear transformations can be used to study rotated conic sections. Your essay should include
Cross-sections of the solid, perpendicular to the x-axis are right triangles with a height twice the base. We wish to find the volume of the resulting solid
Find the point of intersection of each pair of lines.
A key raw material is rationed so that total production must be restricted to 200 units. Find the production levels that now maximize profits.
Discuss how you can use experiential marketing tools for the brands (especially for FreshX). What tools will you use to measure outcomes from such events?
In a survey of 400 households regarding the ownership of VCRs and DVD players, the following data was obtained.
A sound wave has a frequency of 3500 Hz. What is the distance between crests or compressions of the wave? (Take the speed of sound to be 344 m/s.)
You should analyse in terms of Stakeholder Analysis, Caroll's Pyramid, Utilitarianism, Deontology and Virtue Ethics. Most importantly you should give recommendations.
Find the velocity of the top of the ladder at time t=1.
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