Java programminga complex number is defined as z=a+i*b, where a is the real part, and b is the imaginary part. in other words, in order to define a complex number, we need the two floating numbers a and b. write methods that perform for each of the following operations with complex numbers z1 = a1 + i*b1, and z2 = a2 + i*b2: addition: z1 + z2=(a1+a2) + i*(b1+b2)subtraction: z1 - z2=(a1-a2) + i*(b1-b2)multiplication: z1*z2 = (a1*a2 – b1*b2) + i*(a1*b2 + b1*a2)division: z1/z2 = (a1*a2 +b1*b2)/(a2^2 + b2^2) + i*(b1*a2 – a1*b2)/(a2^2 + b2^2)create a test program that asks for the real and imaginary parts of two complex numbers from the user, and displays the results of the four operations, writing the formula as shown above, and replacing the a1, a2, b1 and b2 with the numbers entered by the user.

In this lab, you complete a prewritten c++ program for a carpenter who creates personalized house signs. the program is supposed to compute the price of any sign a customer orders, based on the following facts: the charge for all signs is a minimum of $35.00. the first five letters or numbers are included in the minimum charge; there is a $4 charge for each additional character. if the sign is made of oak, add $20.00. no charge is added for pine. black or white characters are included in the minimum charge; there is an additional $15 charge for gold-leaf lettering. instructions ensure the file named housesign.cppis open in the code editor. you need to declare variables for the following, and initialize them where specified: a variable for the cost of the sign initialized to 0.00 (charge). a variable for the number of characters initialized to 8 (numchars). a variable for the color of the characters initialized to "gold" (color). a variable for the wood type initialized to "oak" (woodtype). write the rest of the program using assignment statements and ifstatements as appropriate. the output statements are written for you. execute the program by clicking the run button. your output should be: the charge for this sign is $82. this is the code, // housesign.cpp - this program calculates prices for custom made signs. #include #include using namespace std; int main() { // this is the work done in the housekeeping() function // declare and initialize variables here // charge for this sign // color of characters in sign // number of characters in sign // type of wood // this is the work done in the detailloop() function // write assignment and if statements here // this is the work done in the endofjob() function // output charge for this sign cout < < "the charge for this sign is $" < < charge < < endl; return(0); }

Using least squares fitting, you are to fit the data sets to the following models and solve for the parameters ai , where i is the index of the parameter. the input/output data for the systems are linked in the bblearn site. for each of the systems use matlab to plot the supplied data vs. the model fit on one plot. include your code in the solutions. (a) linear fit "lineardata.mat" y=a1x^3 + a2x^2 + a3x + a4 (b) plant fit "plantdata.mat g(s) = a1/(s + a2)

In which part of a professional email should you try to be brief, but highly descriptive?