P and Q are points on the sphere 1 x² + y² + x² = 4. P₁ and Q₁ are the foots of two perpendiculars from P and Q to the plane y = 4 respectively. P₂ and Q₂ are the foots of two perpendiculars from P and Q to the plane y+√3z +8= 0 respectively. Find the maximum of 2|vec (PQ)|² — |vec (P₁Q₁)|² — |vec (P₂Q2)|²|

P and Q are points on the sphere 1 x² + y² + x² = 4. P₁ and Q₁ are the foots of two perpendiculars from P and Q to the plane y = 4 respectively. P₂ and Q₂ are the foots of two perpendiculars from P and Q to the plane y+√3z +8= 0 respectively. Find the maximum of 2|vec (PQ)|² — |vec (P₁Q₁)|² — |vec (P₂Q2)|²|

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

The study of statistics can be intimidating, but it can also be rewarding. Describe at least two benefits to your life as a student by engaging in the study of statistics
please solve for the following
The scores of a test for an engineering class of 30 students are shown here. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Scores: 81, 54, 55, 56, 96, 86, 98, 61, 90, 52, 92, 76, 66, 84, 79, 70, 71, 88, 62, 74, 53, 65, 55, 78, 79, 58, 60, 72, 51,80 (a) Determine the frequency (f), midpoint (x), and xf for each range and fill in the table below. (First, organize the scores into the following ranges: 50-59, 60-69, 70-79, 80-89, and 90-99.) (b) Using the following equation, determine the mean value (x) and fill in the table below. Σ(XA) n X = (c) Calculate (x − x) for each range and fill in the table below. (d) Calculate (x - x)²f for each range and fill in the table below. Range Frequency f Midpoint x 50-59 60-69 70-79 80-89 90-99 S = Enter a number. S = (e) Using the following equation, compute the standard deviation of the class scores. Σ(x-x) ²f n - 1 Σ(x-x) ²4 n - 1 = xf 29 X X - X (x - x)²f
Please solve now??
Please answer the last three parts of this question.
why is zero important in a place value system?
What percentage of people has an IQ score greater than 157
what is domain and Range?
the average household income of Georgia is 89,679.25 and median household income for Georgia is 59,235 Is the median always lower than average? If not, please elaborate and provide an example that indicates opposite results.
Knowledge of statistical and mathematical terms is very important in finance. Explain the difference in the field of mathematics and the discipline of statistics.