Question be sure to take note of the constants in this question (gravity and the fluid in the tank) also your integrand vill be in terms of \( y \). A tank full of motor oil has a depth of \( S=10 \mathrm{~m} \). A cylindrical object sits upright at the bottom of the tank. This cylindrical object has height \( H=5 \mathrm{~m} \) and base radius \( B=1 \). a. Set up an integral with respect to \( y \) with origin at top of the liquid representing hydrostatic force exerted on the outter wall of the tank (excluding the circular top and bottom of the tank). You will need to use the fact that the denisty of motor oit is \( 900 \mathrm{~kg} / \mathrm{m}^{3} \) and the acceleration due to gravity is \( 9.81 \mathrm{~m} / \mathrm{s}^{2} \). Answers should be in exact form (i.e.. do not use a calculator to get a decimal approximation). \[ \begin{array}{l} y= \\ y= \\ y= \end{array} d y \] b. Evaluate vour integral from part a. Round your answers to the nearest whole number. \[ W \approx \]

(3) Let us consider an m x n linear system Ax=b with two free variables. Furthermore assume P1, P2, P3 € R" are particular solutions satisfying Apı = Ap2 = Apa = b such that {P1, P2, P3) is linearly independent. Write down the solution set of Ax=b in terms of P1, P2, P3.

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

Two thin parallel slits that are 0.0116 mm apart are illuminated by a laser beam of wavelength 585 nm. (a) On a very large distant screen, what is the total number of bright fringes (those indicating complete constructive interference), including the central fringe and those on both sides of it? Solve this problem without calculating all the angles! (b) At what angle, relative to the original direction of the beam, will the fringe that is most distant from the central bright fringe occur?

Group__ Hmwk carboxylic acid derivatives Name 1) Give the product and byproduct of each reaction below. ( 1 + Nu QH OH- HOCH.CH o L 'OCCHICH, 6 CH, whatarieven OH,O) HOCH, OH, 2) Give the reagents necessary to make each product. a certama memanas my - myoran smo