Question: -ab b Consider the line y = ax + b in R. Show that the point (x, y) = (a1, a+1) is the closest

-ab b Consider the line y = ax + b in R. Show that the point (x, y) = (a1, a+1) is the closest point on the line to the origin. Hint: Let (x, y) be an arbitrary point on the line and minimize the squared distance from this point to the origin over all choices of x and y.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Suppose that it is 9/15/2022 and that you own 600 shares of XYZs common stock. You do not believe that XYZs common stock will perform all that well, so you are considering writing an equivalent...

Problem 12-16 (Algo) A bottling plant fills 1,800 bottles every two hours. The lead time is 30 minutes and a container accommodates 80 bottle The safety stock is 30 percent of expected demand. How...

Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...

Consider the line 3,; = am + b in R2. Show that the point (x, y} = (331bp 311) is the closest point on the line to the origin. Hint: Let (I, y) be an arbitrary point on the line and minimize the...

Problem 3: It is postulated that the radial electric field of a group of charges falls off as E, = C/r", where Distance, r (cm) Potential difference, AV (mV) C is a constant, r is the distance from...

Problem 3: It is postulated that the radial electric field of a group of charges falls off as E, = C/r", where Distance, r (cm) Potential difference, AV (mv) C is a constant, r is the distance from...

Please answer the following: (1 point) Give a 4 x 4 elementary matrix _ which will carry out the row operation 9R, + R2 -> R2. E = Test that E actually works for carrying out this row operation by...

Kindly solve the questions as attached.below. Greg Softie just came up with a new protein powder. He has a very loyal fanbase composed of 100 typeAconsumers, and 50 type B consumers, so he behaves...

Please answer these questions since I cannot understand how to get the answers. 1.) Simplify the following expressions. Write in standard form where appropriate. Write only positive exponents. 12x y...

4 This assignment, based on the content of Unit 4 of the Study Guide, is worth 3% of your grade. We recommend that you hand it in after you complete Unit 4. You must show all of your work in order to...

Power Notebooks, Inc. plans to manufacture a new line of notebook computers. Management is trying to decide whether to purchase the LCD screens for the computers from an outside supplier or to...

Find the gain vo/vs of the circuit in Fig. 5.49. 20 k12 10 k2

(3) Use the fi nite universe method to prove that the following symbolized arguments are invalid. 1. (x)Ax (x)Bx 2. (x)Ax / (x)Bx

How much heat is needed to melt 16.50 kg of silver that is initially at 20oC?

A rocket designed to place small payloads into orbit is carried to an altitude of 12.0 k/n above sea level by a converted airliner. When the airliner is flying in a straight line at a constant speed...

Martian Athletics in the long jump, an athlete launches herself at an angle above the ground and lands at the same height, trying to travel the greatest horizontal distance. Suppose that on earth she...

A 250-kg crate B is suspended from a cable attached to a 20-kg trolley A which rides on an inclined I-beam as shown. Knowing that at the instant shown the trolley has an acceleration n of 0.4 m/s2 up...

A 1-kg sphere is at rest relative to a parabolic dish which rotates at a constant rate about a vertical axis. Neglecting friction and knowing that r = 1 m, determine(a) The speed v of the sphere,(b)...

The objective of test marketing is to implement simulaneous product development to evaluate aliernative marketing strategies to create three - dimensional prototypes quickly and at a relatively low...

Suppose that a sample of n observations is formed from k subsamples containing n1, . . . , nk observations (n1 + . . . + nk = n). Let xij (j = 1, . . . , ni) denote the observations in the ith...

Let F be a continuous strictly increasing c.d.f. with p.d.f. f . Let V have the uniform distribution on the interval [a, b] with 0 a

Suppose that X is a random variable such that E(Xk) exists and Pr(X 0) = 1. Prove that for k > 0 and t > 0, Pr(X t) E(Xk)/tk.

4. What evidence suggests that absolute pitch depends on special experiences?

6. What is one way in which the auditory and visual cortices differ?

18. What is a key point of disagreement between the activationsynthesis hypothesis and the clinico-anatomical hypothesis?