Properties of Trigonometric Functions The properties of the 6 trigonometric functions: sin (x)‚ cos (x)‚ tan(x)‚ cot (x)‚ sec (x) and csc (x)are discussed. These include the graph‚ domain‚ range‚ asymptotes (if any)‚ symmetry‚ x and y intercepts and maximum and minimum points. Sine Function: f(x) = sin (x) * Graph * Domain: all real numbers * Range: [-1 ‚ 1] * Period = 2pi * x-intercepts: x = k pi ‚ where k is an integer. * y-intercepts: y = 0 * Maximum points: (pi/2
Premium Function
of the equation. Be sure to show all of your work. Describe how you would graph this line using the slope-intercept method. Be sure to write in complete sentences. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences. Graph the function using one of the following two options below. On the graph‚ make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work. You may graph your
Free Mobile phone Derivative Binary relation
sports event estimates that if the event is announced x days in advance‚ the revenue obtained will be R(x) thousand $ where R(x) = 400 + 120x - x2. The cost of advertising event for x days is C(x) thousand $‚ where C(x) = 2x2+300. a) Find profit function P(x) =R(x) – C(x) & sketch graph. b) How many days in advance should the event be announced in order to maximize profit. What is the max profit? c) What is the ratio revenue to cost Q(x) =R(x)C(x) at the optimal announcement time found
Premium Function Marginal cost
Sine‚ Cosine‚ and Tangent Functions Essential Questions: What is a function? How is the sine definition different from the sine function? Cosine? Tangent? From the graph of these functions‚ list some properties that describe them? Rebecca Adcock‚ a former student of EMAT 6690 at The University of Georgia‚ and I agree that the concept of the Sine‚ Cosine Functions will occur at lesson 6 of a beginning trigonometry unit. I praise her and her work because I want to use her thoughts on this particular
Premium
TAGUCHI LOSS FUNCTION EXAMPLE PROBLEMS 1. A blueprint specification for the thickness of a dishwasher part at Partspalace‚ Inc. is0.325 ± 0.025 centimeters (cm). It costs $10 to scrap a part that is outside thespecifications. Determine the Taguchi loss function for this situation. 2. A team was formed to study the dishwasher part described in Problem 1. Whilecontinuing to work to find the root cause of scrap‚ they found a way to reduce the scrapcost to $5 per part. a. Determine the Taguchi loss
Premium Taguchi methods Decision theory Resistor
order to diagnose a bipolar disorder however‚ adult criteria must be met. There are no set criteria for a child in The Diagnostic and Statistic Manual IV (DSM-IV)‚ which is the model used when diagnosing bipolar disorder. While the DSM-IV manual requires a distinct period of persistently elevated‚ expansive‚ or irritable moods lasting through at least four days‚ around seventy percent of children with bipolar disorder have mood swings several times a day (About Pediatric Bipolar Disorder). While
Premium Bipolar disorder
Bipolar II Disorder and Comorbidity of Alcohol Abuse or Dependence by Bachelor of Science Mount Olive College‚ 2009 Submitted in Partial Fulfillment of the Requirements For the Degree of Bachelor of Science in Business Administration: Health Care Management Tillman School of Business Mount Olive College 2009 MOUNT OLIVE COLLEGE Thesis Certification Please type all information in this section: Applicant
Premium Bipolar disorder Major depressive disorder
7 Project ll One of the most common models of population growth is the exponential model. These models use functions of the torm p(t) : po€rt‚ wherep6 is the initial population and r > 0 is the rate constant. Because exponential models describe unbounded growth‚ they are unrealistic over long periods of time. Due to shortages of space and resources‚ all populations must eventually have decreasing grovtrth rates. Logistic growth models allow for exponential growth when the population is small
Premium Logistic function Population ecology Exponential growth
PROPERTIES OF SINE AND COSINE FUNCTIONS: 1. The sine and cosine functions are both periodic with period 2π. 2. The sine function is odd function since it’s graph is symmetric with respect to the origin‚ while the cosine function is an even function since it’s graph is symmetric with respect to y axis. 3. The sine functions: a. Increasing in the intervals[0‚ π/2]and [3π/2‚ 2π]; and b. Decreasing in the interval [π/2‚ 3π/2]‚over a period of 2 π. 4. The cosine function is: a. Increasing in the interval
Premium Function Calculus
520 Reading Summaries #2 The reading this week by Banich (2009) defines executive function‚ looks at ways to assess executive function‚ and investigates circumstances that it is compromised. This article describes executive function as the ability to purposely lead behaviors towards reaching a goal. The article notes many cognitive abilities that it believes to be a part of executive function which include how humans prioritize behaviors‚ inhibit behaviors that are familiar‚ mental ideas of what
Premium Psychology Mental disorder Cognitive behavioral therapy