Find at least three nonzero terms (including a 0 and at least two cosine terms and two sine terms if they are not all zero) of the fourier series for the given function, and sketch at least three periods of the function. f left parenthesis x right parenthesis equals left brace start 2 by 2 matrix 1st row 1st column 7 2nd column negative pi less than or equals x less than 0 2nd row 1st column 0 2nd column 0 less than or equals x less than pi endmatrix

Use the x-intercept method to find all real solutions of the equation. -9x^3-7x^2-96x+36=3x^3+x^2-3x+8

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.

If f(x)=3x+1 and f^-1=x-1/3, then f^-1(7)=