Find the point on the plane z = x + y + 1 closest to the point

Question:

Find the point on the plane z = x + y + 1 closest to the point P = (1, 0, 0). Minimize the square of the distance.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Jan 16, 2024 10:00 AM

See More Questions

Suppose that Andrew and Becky both study a random sample that has a sample proportion of p= .4. Each uses the sample data to produce a confidence interval for the population proportion, with Andrew...
Find the point on the line y = 2x + 1 that is closest to the point (0, 3), minimum distance between the point and the line?
Balance this equation: Co(HO)."+CrCoCl2 + HO Based on the above equation, explain where the equilibrium shifted when the following reagents were added: a. HO b, Hai 2019 0204 c. AgNO, Based on this...
Consider the following population regression model: y = Bo + Bx + Bx2 + 3x3 + u Suppose you want to test whether 0.532 = 83. The hypotheses are: Ho : 0.582 = 33 H : 0.532 #33 The correct expression...
Recently, property/casualty insurance companies have been criticized because they reserve for the total loss as much as 5 years before it may happen. Recently the IRS has joined the debate because...
What management , organization, and technology factors should be addressed when deciding whether to allow employees to use their personal smartphones for work?
On February 20, 2009, Cedar Valley Aviation, a wholly owned subsidiary of Aerial Services, Inc. (ASI), brought a Piper 522AS (Cheyenne II) in for maintenance to Des Moines Flying Service, Inc....
Dorex, Inc., presented the following comparative income statements for 2009, 2008, and 2007: Required a. Calculate the following for 2009, 2008, and 2007: 1. Net profit margin 2. Return on assets 3....
How is an administrative body usually defined?
Show that the sum of the squares of the distances from a point P = (c, d) to n fixed points (a 1 , b 1 ), . . . ,(a n , b n ) is minimized when c is the average of the x-coordinates a i and d is the...
Find the volume of the largest box of the type shown in Figure 24, with one corner at the origin and the opposite corner at a point P = (x, y, z) on the paraboloid z = 1- X x 4 9 N with x, y, z 0 P y
The only accurate way to account for the success or failure of an entity is to accumulate all transactions from the opening of business until the business eventually liquidates.
Consider the pallowing plant, X are given by Ax + Bu where state space matrix 1 1 [42] 1 B = [:] We want to closed loop poles at -5-6. find the state feedback gain vector
T A Caterpillar Ultra High Demolition machine is shown. The distances between points A and B is 12.5 m, points B and Cis 2.8 m, C and D is 5 m, and D and E is 2.5 m. Determine the position vectors...
A 2000 kg truck traveling at 10 m/s collides head on with a 1200 kg car that was initially at rest a) What is the common speed after the collision if both remain together. b) What is the energy loss...
The cantilever beam shown in Figure 2.1 is subjected to linearly distributed loads. a) Draw all necessary free-body diagrams using the method of sections and find symbolic expressions for the...
3.1 Determine the 75%, 90%, and 95% response time for each of the systems given (assume zero initial conditions): 2P + 8P + 8P = 2U(t) a. b. 5y +5y = U(t)
The foreign exchange department of Bank of India has a bid quote on Indian rupees (Rs) of Rs 43.21/$. If the bank typically tries to earn a bid-ask spread of 0.5 percent on these foreign exchange...
Use the information given about the angles and to find the exact value of: (a) sin( + ) (b) cos( + ) (c) sin( - ) (d) tan ( + ) (e) sin(2) (f) cos (2) (g) sin /2 (h) cos/2 cos = 4/5, 0 < < /2; cos =...
Find the limit. + 4 lim x-3 x + 1
Find the limit. lim x1 x 1
Find the limit. lim x--1 x + x
An expression that occurs in calculus is given. Simplify the expression. (5x+7)2xx? .5 (5x+7)
b The Bellman-Ford algorithm is applied to the following graph, with source vertex a. The order followed when looping through edges is a, b, c, d, e, where is the set of all edges from v to any other...
Write a program using a counter that performs the following operation: 1. Turn on PL1 when the count is 6. 2. Turn ON PL2 when the count is 12 - at which time PL1 should turn off. 3. Turn ON PL3 when...

Find the point on the plane z = x + y + 1 closest to the point

Question:

Step by Step Answer:

Minimize fx y z x 1 y x y ...View the full answer

Calculus

Students also viewed these Mathematics questions