If u = ax^2 + by^2 + cz^2 where x^2 + y^2 + z^2 = 1...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
If u = ax^2 + by^2 + cz^2 where x^2 + y^2 + z^2 = 1 and lx + my + nz = 0 prove that stationary values of 'u' satisfy the equation l^2/ a-u + m^2/b-u + n^2/c-u =0. If u = ax^2 + by^2 + cz^2 where x^2 + y^2 + z^2 = 1 and lx + my + nz = 0 prove that stationary values of 'u' satisfy the equation l^2/ a-u + m^2/b-u + n^2/c-u =0.
Expert Answer:
Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0471669593
9th edition
Authors: Howard Anton, Chris Rorres
Posted Date:
Students also viewed these mathematics questions
-
The relative humidity of a room is 30% and it is observed that moisture appears on the cold window panes when their surface temperature is 15 C or below. What is the temperature of the room? Refer to...
-
Which values of c satisfy the conclusion of the MVT on the interval [a, b] if f (x) is a linear function?
-
If B and C are n x n positive definite matrices, show that B + C is positive definite.
-
Problem 10 The Solow Growth Model is an exogenous model of economic growth that analyzes changes in the level of output in an economy over time as a result of changes in the population growth rate,...
-
The Aztec Corporation has the following capital components and costs. Calculate AztecsWACC. Component Value Cost Debt Preferred stock Common equity 52,275 19.2 $23,625 12.0% 4,350 13.5
-
a) What is the importance of the central bank? b) Describe central bank independence and its importance. Mention at least Four important. Explain at least two importance.
-
Prove that \(b(x ; n, p)=b(n-x ; n, 1-p)\).
-
Marci and Jennifer each own 50% of the stock of Lavender, a C corporation. After each of them is paid a "reasonable" salary of $150,000, the taxable income of Lav ender is normally around $800,000....
-
Your t-shirt company sees that shirts of a certain variety have demand function q = -90p + 900 where q is the number of shirts you can sell in one week if you charge $p per shirt. You have fixed...
-
ErgoFurn, Inc. manufactures ergonomically designed computer furniture. ErgoFurn uses a job order costing system. On November 30, the Work in Process Inventory consisted of the following jobs: On...
-
Find a quadratic model in the form y = ax +bx+c for the cost of a television given its size. (Round all values to the nearest tenth.) a = size (in.) cost ($) 15 17 23 30 550 700 1500 2500 b= C=
-
In an exhaust fan, a set of gears is used to reduce the speed from a motor to the fan system (see Figure 1.1). The 20-tooth pinion gear on the motor has a diametral pitch of 5 and rotates at 1150 rpm...
-
According to Newton's law of cooling, the time rate of change of temperature Tb (t) of a body immersed in a medium of temperature Tm(t) is proportional to the difference Tm (t) - T(t). That is, dT(t)...
-
Determine the following: a) If the mass of box A is equal to mA = 100kg, find the mass of box B that can be supported without causing the box to tip? b) What is the smallest coefficient of friction...
-
4.) Amy's Appliances has a sign posted that states: "Purchase a refrigerator, range and dishwasher for a package price of $2,400". Is this an example of price lining? Explain your answer in no more...
-
6. Pulleys C and D are fastened together. Weights A and B are supported by ropes wound around the pulleys as shown. If weight A is accelerating downward at 2 m/s, determine a. the angular...
-
2. Christine informs her nephew that she has saved $250,000 from the income earned from the sales of the Fleetwood Mac album Tusk and is earning 7.1% annually on her investment. Christine promises to...
-
APC16550D UART has a clock running at18.432 MHz and its baud rate is set to 2000.Determine the HEX contents of its DLM and DLL registers. Please can you explain step by step and in detail how you get...
-
Prove: If B is invertible, then AB-1 = B-1 A if and only if AB - BA.
-
A set of objects is given, together with operations of addition and scalar multiplication. Determine which sets are complex vector spaces under the given operations. For those that are not, list all...
-
T: R3 R3 is the orthogonal projection on the x,y-plane; B and B² are as in Exercise 4. Find the matrix of T with respect to the basis B, and use Theorem 8.5.2 to compute the matrix of T with...
-
In response to the boards fourth question, the balance sheet exposure (in C$ millions) would be closest to: A . 19. B . 148. C . 400.
-
Yus determination regarding Transaction 2 should be based on the currency of the: A . loan. B . bank. C . borrower.
-
In response to the boards second question, Templeton should reply that if the change is made, the consolidated fi nancial statements for Consolidated Motors would begin to recognize: A . realized...
Study smarter with the SolutionInn App