Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Math 125 Lab Section 63965 University of Kansas January 17th, 2017 (University of kansas) Math 125 Lab Section 63965 January 17th, 2017 1/6 Please tell us (1) Preferred name, (2) Where you’re from, (3) What your major is, On your paper, please answer the following: (4) What is the highest mathematics course you’ve completed? (5) Describe how you perceive your abilities with algebraic manipulations? with trigonometry? with graphing functions? (6) Have you worked in groups before? How do you feel about working in small, 2-3 person groups? (7) Is there anyone in class that you would prefer to work with? (University of kansas) Math 125 Lab Section 63965 January 17th, 2017 2/6 Laboratory Section 63965 Policies 5% of the final grade is assigned by lab sections. Quiz Participation 4% 1% (University of kansas) Math 125 Lab Section 63965 January 17th, 2017 3/6 Laboratory Section 63965 Policies 5% of the final grade is assigned by lab sections. Quiz Participation 4% 1% Some quizzes will be individual and some in groups. You will not know in advance. Anyone later than 15 minutes to class will be considered absent. Participation means that you will be engaged in the discussion and work with your peers. The internet will exist after class ends! Don’t waste your time and money with distractions. Office: Snow 559 Office Hours: T 11 am, R 11 am and by appointment. (University of kansas) Math 125 Lab Section 63965 January 17th, 2017 3/6 Precalculus 1 2 3 4 5 6x 2 + x − 2 . Find its domain and simplify 2x 2 + x − 1 f (x + h) − f (x) 1 Simplify the expression For f (x) = 2 and h 6= 0. h x What are the values of the other five trigonometric functions at θ if sin(θ) = 47 ? Sketch the graph of the following function: 2 x + 3 x < −2 2x − 3 −2 ≤ x ≤ 0 f (x) = 2 sin(x) x > 0 For the function g (x) = Factor 3 1 2 6 1 18(x + 2)−2 (x − 1) 2 − 6(x + 2)−1 (x − 1) 2 6(2x + 1)2 (x 2 + 4)1/2 + 2x(2x + 1)3 (x 2 + 4)−1/2 A piece of wire 20 cm long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. Assuming that the radius of the circle has length x, find a function A(x) for the sum of the areas contained inside the square and circle. (University of kansas) Math 125 Lab Section 63965 January 17th, 2017 4/6 Answers 1 Domain (in interval notation): (−∞, −1) ∪ (−1, 1/2) ∪ (1/2, +∞) 3x + 2 for x 6= −1, 1/2 x +1 Simplification: 2 −2x − h x 2 (x + h)2 cos(x) = tan(x) = 3 4 5 33 7 4 √ 33 csc(x) = sec(x) = 7 4 √7 33 √ cot(x) = 33 4 Next Slide √ 1 2 6 √ 6 x − 1(2x − 5) (x + 2)2 2(2x + 1)2 (5x 2 + x + 12) √ x2 + 4 A(x) = πx 2 + (University of kansas) (20−2πx) 4 2 20 with natural domain 0, 2π Math 125 Lab Section 63965 January 17th, 2017 5/6 Answers (University of kansas) Math 125 Lab Section 63965 January 17th, 2017 6/6