### Derive Rationalized Admittance Expressions

Derive rationalized expressions for the admittances of the two parallel arms. Hence derive an expression for the total circuit admittance.

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Derive rationalized expressions for the admittances of the two parallel arms. Hence derive an expression for the total circuit admittance.

a) log y = 1.2x -1 b) ln y = 1.2x - 1

1. Solve the radical equation: {see attachment} 2. Find the equation of the line through the point (-2,-4) and perpendicular to the line {see attachment} 3. Complete the square, find the vertex, the axis of symmetry, all the intercepts, and graph the parabola: {see attachment} 4. ... Find the compositions {see attac

Please tell me whether or not the 2 correspondences are upper hemicontinuous and PLEASE (using the definition) justify why. 1)F:[2,3]->R^2, F(r)={(x,y):abs(x)+abs(y)<=r} 2)F:R^n{0}->R^n, F(x)=B(x;||x||), the closed ball centred at x with radius ||x||. Thanks Note: abs=absolute value is the complement ||x|| is d

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Classify the 15 given polynomials as monomials, binomials, trinomials, and polynomials. Use the format given below for categorizing the polynomials. [Note: Simplify wherever possible] (Please see attachment for polynomials)

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Show that any positive integral power of (√2 - 1) can be written in the form √N - √(N-1) , where N is a positive integer. Hint: Use mathematical induction and consider separately the odd and even powers of (√2 - 1). We need to prove the following statement. Statement : For any positive n, (ͩ

Number Theory - Polynomial Congruences Find all solutions of each of the following congruences . (a) x2 + x +1 ≡ 0 (mod 11)

See attached CLEP practice problems

3. Lisa is coloring her creation. The blue color used is 50% of the green color used, yellow is 5% of the blue color used, and brown is 7% of the amount of green used. She wants to find the total amount of color used by her. a. Find the total amount of color used by Lisa using an algebraic expression. b. Comment on the kind of

2. Mr. Pinto is a Web designer. He is trying to put 4 characters on a page. The space occupied by character 2 takes 5 units more than character 1, character 3 takes 7 units less than the character 2, and character 4 takes the same space as that taken by character 2. a. Find the total space occupied by all the characters in an a

1. Three prizes are to be distributed in a Creative Design Talent Search Contest. The value of the second prize is five-sixths the value of the first prize, and the value of the third prize is fourth-fifths that of the second prize. a. Express the total value of the three prizes as an algebraic expression. b. Comment on the ki

See attachment

Solve each compound inequality and write the solution set using interval notation. 80) 0< 5-2x <=10 -6< 4-x<0 81) -3 < (3x -1)/ 5 < ½ 1/3 < (3-2x)/6 < 9/2 86) Selling Price Range: Renee wants to sell her car through a broker who charges a commission of 10% of the selling price. The book value of the car is $14,900

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Let E be a finite extension of a field F. Show that any finite set of distinct embeddings of E into the algebraic closure of F is linearly independent over F.

The stability number, alpha(G), of a graph G is the cardinality of the largest subset S of V(G), the vertex set of G, such that no two of the vertices in S are connected by an edge of G. The clique number, omega(G), of a graph G is the cardinality of the largest subset S of V(G), the vertex set of G, such that every pair of

Picture of exercises in word doc. May take time to enter.

Find the general solution of the ODEs attached (about 10 different problems involving differential equations with constant coefficients) Solve the IVPs attached

Y1: Find the general solution of the OEDs: y'''-3y"+3y'-y=0 y"=0 y"+y'-2y=0 5y"-10'=0 And about 8 other ODEs with IVP

Please see the attachment for problem related to nonnegative integer and my solution (needs to be edited and confirmed)

Please remember to show your methodology as well as the answer. How you solved the problems remember to follow logical rules AND PLEASE BE CAREFUL - CHECK YOUR ARITHMETIC WATCH OUT FOR THOSE QUESTIONS THAT NEED ± SOLUTIONS There are 25 questions. For questions 1 through 9, perform the indicated operations. If possib

Let S = Z_43 (where the underscore, "_", indicates that what follows it, in this case 43, is a subscript). Let Q be a subset of S that contains ten non-zero numbers (i.e., that Q contains ten non-zero elements of S). Prove that Q contains four distinct numbers "a," "b," "c," "d" such that ab = cd in Z_43.

Five children collect N pieces of Halloween candy and decide to split it evenly among them. When they try to divide it they have two pieces of candy left over. One of the children leaves, taking the 26 pieces of candy she collected with her. The remaining four children try to split the N-26 remaining pieces of candy and discover