Tutorial ExerciseFind the critical numbers of the function.y-2y²-2y + 4Part 1 of 3For g(y) =Part 2 of 3g(y) =Part 3 of 3y-2y2-2y + 4g'(y) =21numbers arey =y =we have- 2y + 4y² - 2y +4 (1) - (y-2)-2y+4)2Critical numbers occur where g'(y) equals 0 or is undefined. g'(y) is undefined where the quadratic y² - 2y + 4 in the denominator is 0. The discriminant for y² - 2y + 4 is-2 2-4(1)(4(smaller value)(larger value)Submit Skip (you cannot come back)2y - 24) = -12(y² - 2y + 4)²y(4-y)Since the discriminant is negative, then there are no real roots for y² - 2y + 4, and so g'(y) exists for all real numbers. This means critical numbers occur where 0 = g'(x) = √₁² - 2y + 412. This happens only when the numerator equals 0. Thus, the critical2y - 2-12

Answered: Image /qna-images/answer/7c9ccd60-93f4-42d4-9717-26d28a3d2c4c.jpg

= −2y + 4)(¹) ► (v − 2) |___2y−2 -2y+4)² (3²-2y+4)² Oor is undefined. g'(y) is undefined where the quadratic y2-2y+4 in the denominator is 0. The discriminant for y2-2y+ 4 is -12 2y-2 -12 =) ere are no real roots for y2 - 2y + 4, and so g(y) exists for all real numbers. This means critical numbers occur where 0 = g'(x) = y(4-y) (²-2y+4)² This happens only when the numerator equals 0. Thus,

= −2y + 4)(¹) ► (v − 2) |___2y−2 -2y+4)² (3²-2y+4)² Oor is undefined. g'(y) is undefined where the quadratic y2-2y+4 in the denominator is 0. The discriminant for y2-2y+ 4 is -12 2y-2 -12 =) ere are no real roots for y2 - 2y + 4, and so g(y) exists for all real numbers. This means critical numbers occur where 0 = g'(x) = y(4-y) (²-2y+4)² This happens only when the numerator equals 0. Thus,

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

here R jl and nl is a function of x or k ??? i m confusd advance physics questionn
Only provide solution of a in a page... Don't use matlab
Find normalize: V1(x) = (i A1@/2m)xe-*.
Find the distance between points P and P,. P = (-4,4, 8), P2 = (5,8, 0) : %3D P = (7, 8, 9), P2 = (8,9, 10) : Р Р %3 (4, —8,5), Р, 3 (0,0, 0) :
Calculate the first-order correction (1 = 1) for the function given by the relationship below Wal m E; – E: f + A' %3D - 1 if it was w %3D and It was the limit of turmoil 3. Á = : 1 and limit (E - E") = 2
Determin the complex exponential fourier breens Ror the following periodic sngel Shown (1)x A. To/2 -To/2 -To
O
What is y(x) given that d²y dx² +4e-2x = 0 where you have the boundary conditions: dy dx y = yo (a constant) at You have to integrate twice as this is a second order differential equation so you need two boundary conditions to get the complete solution. (Most people are better at differentiating then integrating so check your answer by differentiating it!) = q (a constant) at x = 0 x = 0
When two galaxies collide, the stars do not generally run into eachother, but the gas clouds do collide, triggeering a burst of new star formation. a) Estimate the probability that our Sun would collide with another star in the Andromeda galaxy if a collision between the Milky Way and Andromeda occured. Assume that each galaxy has 100 billion stars exactly like the sun, spread evenly over a circular disk with a radius of 100,000 lightyears. (Hint: first calculate total area of 100 billion circles with the radius of the Sun and then compare that to total area to the area of the Galatic disk) b) Estimate the probability of a collision between a gas cloud in our galaxy and one in the Andromeda galaxy. Assume that each galaxy has 100,000 clouds of warm hydrogen gas, each with a radius of 300 lightyears, spread evenly over the same disk. Use the same method as part A.
How.: Normalize a wafct. for a particke at leny th L given by: Y x) z x (L-x). in a box
IF Om is an eigen function of Iz with eigen Value equal to (mt) Then Prove The function (Lx ± Ply) Im is also an eigen function af Iz₁
Find the maximum and minimum values of the function f(x, y) = e"Y subject to x³ + y3 = 54 Maximum value: Minimum value: Enter DNE if the value does not exist.