Sums of Convergent Series

How many terms of the convergent series do you need in order for the partial sum Sn to estimate the actual sum of the series correctly to four decimal places? ( The sum of the series from n=1 to infinity of (-1) ^5n divided by Ln n.)

Solve complex equation

In the following equation by equating real and imaginary parts, find expressions for R6 and L in terms of R1, R2, R3, R4, R5 and C, given that the frequency is one radian per second. See attached file for full problem description.

Find the roots (real and imaginary) of the equation 6x^4 - 25x^3 + 32x^2 + 3x - 10

The equation 6x^4 - 25x^3 + 32x^2 + 3x - 10 has two real roots of -1/2 and 2/3. By algebraic division and solving a quadratic equation, find the other two roots. See attached file for full problem description.

Complex Trigonometric Substitution

Given that e ^ jx + e ^ -jx e ^ jx - e ^ -jx Cos x = ----------------------, Sin x = -------------------- 2 2j using only this information, prove that Cos^2 x - Sin^2 x = 1 - 2 Sin^2 x

Evaluating complex numbers

Given the complex numbers z1 = 5 - j4 z2 = 4 + j z3 = -6 - j7 z4 = j2 Calculate, giving your answers in the form a + jb, the following:- (i) z4 - z1 + z2 (ii) 3z1 - 2z3 + z4 (iii) z1z2 (iv) z3/z2

Phasors and voltage

A circuit has two components connected in series as shown below; using phasors to represent the voltages and currents, as appropriate a) Determine the unknown voltage V b) What is the value of the unknown voltage, V, if the original voltage Vs is multiplied by the factor: 2∟90º Please see the attached.

The city of Beckley, West Virginia, has solicited bids fro interested construction firms from five projects it wishes to complete during this fiscal year.

Use Microsoft Excel Solver (see attached file).

Applications of Hypothesis Testing : Develop three hypotheses that can be tested using t-tests.

Drawing on one of your interests in the study of criminal justice, develop three hypotheses that can be tested using t-tests. Why do you think it would be interesting or important to test these hypotheses? Specify the level of measurement for your independent and dependent variables.

Complex Analysis : Arc Intersection and Smooth Arcs

Please see the attached file for the fully formatted problems.

The relationship between social class and spending on welfare and education. Using Chi-squared test to study existence of relationship. For specific problem solved in this posting, please see the posted problem.

Please see attached file with two questions with charts. Thank you! Here we examine the relationship between social class and spending on welfare and education. Lower Class Working Class Middle Class Upper Class Spending on welfare Too little 18 59 73 4 About right 12 109 132 10 Too much 16 142 121 12 Total ...continues