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6) Given x²-4y²-16z² = 4 (a) Rewrite into standard form and name/identify the type of surface. (b) Find the equations of the traces of the surface in the following planes (write "None" if no trace). Sketch and name the type of trace obtained. (1) xz-plane (ii) xy-plane (iii) trace in the planes x=+4 (c) Sketch an accurate representation of the surface including traces and intercepts (z-axis pointing up).

6) Given x²-4y²-16z² = 4 (a) Rewrite into standard form and name/identify the type of surface. (b) Find the equations of the traces of the surface in the following planes (write "None" if no trace). Sketch and name the type of trace obtained. (1) xz-plane (ii) xy-plane (iii) trace in the planes x=+4 (c) Sketch an accurate representation of the surface including traces and intercepts (z-axis pointing up).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
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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Question 6 please! Show work
5) 6) Prove: u-v=vu for vectors u,v in V₁. Show all steps clearly, do not skip steps! Use vector components, and provide specific reasons for each step. Start from one side and get to the other, that is, work only on one side (do not "meet in the middle"). Given x²-4y²-16z² =4 (a) Rewrite into standard form and name/identify the type of surface. (b) Find the equations of the traces of the surface in the following planes (write "None" if no trace). Sketch and name the type of trace obtained. (i) xz-plane (ii) xy-plane (iii) trace in the planes x = ±4 (c) Sketch an accurate representation of the surface including traces and intercepts (z-axis pointing up).
Transcribed Image Text:5) 6) Prove: u-v=vu for vectors u,v in V₁. Show all steps clearly, do not skip steps! Use vector components, and provide specific reasons for each step. Start from one side and get to the other, that is, work only on one side (do not "meet in the middle"). Given x²-4y²-16z² =4 (a) Rewrite into standard form and name/identify the type of surface. (b) Find the equations of the traces of the surface in the following planes (write "None" if no trace). Sketch and name the type of trace obtained. (i) xz-plane (ii) xy-plane (iii) trace in the planes x = ±4 (c) Sketch an accurate representation of the surface including traces and intercepts (z-axis pointing up).
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