MATH STA2023 STATISTICS UCF

IB HL Math Homework #2: Logs, Binomial Theorem and Induction Assigned: 8/29/07, Wednesday Due: 9/6/07, Thursday 1) (PM pg. 40 # 6(i) Solve for real x in the equation 4(32x+1) + 17(3x) 7 = 0. 2) (\'90 AHSME #23) If x, y > 0, logyx + logxy = 10 x+ y ,

Date Day Assignments/Exams 20-Aug M 21-Aug T Hmk #1 Given 22-Aug W 23-Aug R 24-Aug F Hmk #1 Due, Pr #1 Given 27-Aug M 28-Aug T 29-Aug W 30-Aug R 31-Aug F 4-Sep T 5-Sep W 6-Sep R 7-Sep F 10-Sep M 11-Sep T 12-Sep W 13-Sep R 14-Sep F 17-Sep M 18-Sep T 1

IB HL Math Proof: sin(A+B), cos(A+B) Assigned: Tuesday, 9/25/07 Due: Friday, 9/28/07 In class we proved the formulas sin(A+B) = sinAcosB + cosAsinB and cos(A+B) = cosAcosB sinAsinB We proved the first formula using a figure of two right triangles an

IB HL Math Homework #3 Solutions Assigned: 9/10/07, Monday Due: 9/13/07, Thursday 1) Find the value of (1 3i ) 7 using DeMoivre\'s Theorem. (1 3i ) 7 = (2cis ( 4 7 28 4 ) = 2 7 cis ( ) = 128(cis ) = 64 64 3i 3 3 3 2) Find the four solutions to

IB HL Math Quiz: Complex Numbers Solutions Date: 9/7/07 Directions: Please show all of your work and answers on a separate piece of paper Perform the following computations and answer each in the form a+bi. 1) (2 + 3i ) + (4 5i ) = 6 2i 2) (2 + 3i

IB HL Math Proof: Log Base Change Assigned: 8/24/07, Friday Due: 8/2907, Wednesday A technique shown in class to solve problems that involve logarithms was to change the base of a logarithm via the following identity: log c b log c a log a b = Util

Portfolio Assignment: Investigating a Common Sum Type #1: Mathematical Investigation Solution In this assignment, we will investigate how to derive formulas for sums of the form i i =1 n k , where k is a positive integer. As a warm-up, we will p

IB HL Math Homework #3 Assigned: 9/10/07, Monday Due: 9/13/07, Thursday 1) Find the value of (1 3i ) 7 using DeMoivre\'s Theorem. 2) Find the four solutions to the following equation: z 4 = 128 + 128 3i . 3) Let the roots of the quadratic equation x2

Portfolio Assignment: Investigating a Common Sum Type #1: Mathematical Investigation Assigned: Monday, 2/4/08 Due: Friday, 2/15/08 In this assignment, we will investigate how to derive formulas for sums of the form i i =1 n k , where k is a posit