Question (1 point) Suppose that we use Euler's method to approximate the solution to the differential equation dy/dx=x^5/y; y(0.4)=7 Let . f(x,y)=x5/y. We let x0=0.4x0=0.4 and y0=7y0=7 and pick a step size h=0.2.h=0.2. Euler's method is the the following algorithm. From xnxn and ynyn, our approximations to the solution of the differential equation at the nth stage, we find the next stage by computing xn+1=xn+h,yn+1=yn+h⋅f(xn,yn).xn+1=xn+h,yn+1=yn+h⋅f(xn,yn). Complete the following table. Your answers should be accurate to at least seven decimal places. nn xnxn ynyn 00 0.40.4 77 11 22 33 44 55 The exact solution can also be found using separation of variables. It is y(x)=y(x)= Thus the actual value of the function at the point x=1.4x=1.4 y(1.4)=y(1.4)= .

Given the force field F, find the work required to move an object on the given oriented curve. F = (y, -x) on the path consisting of the line segment from (1,5) to (0,0) followed by the line segment from (0,0) to (0,9) The amount of work required is- (Simplify your answer.)

Photon Technologies, Inc., a manufacturer of batteries for mobile phones, signed a contract with a large electronics manufacturer to produce three models of lithium-ion battery packs for a new line of phones. The contract calls for the following: Mexico plant. The cost of shipping from the Philippines plant is $0.15 per unit, and the cost of shipping from the Mexico plant is $D.12 per unit. constraint is one, enter "1". If the amount is zerp, enter "O". Let P1= number of PT-100 battery packs produced at the Philippines plant P2 = number of PT-200 battery packs produced at the Philippines plant P3 = number of PT-300 battery packs produced at the Philippines plant M1 = number of PT-100 battery packs produced at the Mexico plant M2 = number of PT-200 battery packs produced at the Mexico plant M3 = number of PT-300 battery packs produced at the Mexico plant (b) Solve the linear program developed in part (a), to determine the optimal production plan. If the amount is zero, enter "0". Total Cost =$ If required, round your answer to two decimal digits. At least ← (3) / unit. (d) Use sensitivity analysis to determine how much the production and/or shipping cost per unit would have to change to produce additional units of the PT-200 in the Mexico plant. If required, round your answer to two decimal digits. At least : / unit.

EENG447: Homework (DSB and AM): 3.1. Assume that a DSB signal xc(t) = Acm(t) cos(277 fet + $0) is demodulated using the demodulation carrier 2 cos(2 fet + 0(0)]. Determine, in general, the demodu- lated output yo(t). Let Ac = 1 and e(t) = 00, where is a constant, and determine the mean-square error between m(t) and the demodulated output as a function of do and 00. Now let e(t) = 2 fot and compute the mean-square error between m(t) and the demodulated output.

In this task, we’re going to be simulating an email message. Some of the logic hasbeen filled out for you in the email.py file.● Open the file called email.py.● Create a class definition for an Email which has four variables:has_been_read, email_contents, is_spam and from_address.● The constructor should initialise the sender’s email address.● The constructor should also initialise has_been_read and is_spam to false.● Create a function in this class called mark_as_read which should changehas_been_read to true.● Create a function in this class called mark_as_spam which should changeis_spam to true.● Create a list called inbox to store all emails (note that you can have a list ofobjects).● Then create the following methods:○ add_email - which takes in the contents and email address from thereceived email to make a new Email object.○ get_count - returns the number of messages in the store.○ get_email - returns the contents of an email in the list. For this, allowthe user to input an index i.e. get_email(i) returns the email storedat position i in the list. Once this has been done, has_been_readshould now be true.○ get_unread_emails - should return a list of all the emails that haven’tbeen read.○ get_spam_emails - should return a list of all the emails that have beenmarked as spam.○ delete - deletes an email in the inbox.Now that you have these set up, let’s get everything working!● Fill in the rest of the logic for what should happen when the user inputssend/read/quit. Some of it has been done for you.

12.5 If a 0, show that so that if Y = aX+b is an affine non-constant function of X, then ρχ.Y = ±1.

3.4 Find the system response y(t) x(t) yệt) h(t) a) Graphically b) Convolution integral equation x(t) h(t) 2 2 0 1 2 3 5 t 0 1 2 3 5 -21