Time to take your medicine! A patient is prescribed a 250 mg dose of an antibiotic to be taken every 8 hours for 3 days. The drug is both excreted and.

Slides:

Advertisements

Similar presentations

Manipulated Vs. Responding Variable

Advertisements

Chapter 3 Linear and Exponential Changes 3.2 Exponential growth and decay: Constant percentage rates 1 Learning Objectives: Understand exponential functions.

Find the next two numbers in the pattern

Experiment 2 part 2 – Feedback and recap of Part 1 – Goals for this lab: Measure the bounce of the ball at different heights that are below table level.

Real-World Adventures with Representations Quadratic and Exponential functions.

Calculation of Doses Lab 7.

7.1 Interpreting Labels Label InfoMeaning 25 mg/mlThis ratio tells the amount of medication in each ml of solution 1:4Ratios written this way always mean.

Drug calculation formula

1 Instantaneous Rate of Change  What is Instantaneous Rate of Change?  We need to shift our thinking from “average rate of change” to “instantaneous.

13.7 Sums of Infinite Series. The sum of an infinite series of numbers (or infinite sum) is defined to be the limit of its associated sequence of partial.

Geometric Sequences and Series. Arithmetic Sequences ADD To get next term Geometric Sequences MULTIPLY To get next term Arithmetic Series Sum of Terms.

Algebra 1 Find the common ratio of each sequence. a. 3, –15, 75, –375,... 3–1575–375  (–5)  (–5)  (–5) The common ratio is –5. b. 3, ,,,...

Sequences & Series Jeopardy Pythagora s Gauss Descart es Fibonacc i Fermat

Sequences and Series Issues have come up in Physics involving a sequence or series of numbers being added or multiplied together. Sometimes we look at.

AP Calculus Objective: Understand definition of convergent infinite series and use properties of infinite geometric series.

Explicit, Summative, and Recursive

MAT 1221 Survey of Calculus Section 2.3 Rates of Change

Treatment of Arthritis Dr. Kaukab Azim. Medicinal Treatment for Arthritis Pain Relief: The most common medication used for acute pain relief are.

1 (Mrs. Brewster) /15/02 Period Group Number Date ESMERALDA CALDERON.

Applications Example 1 A hospital patient is put on medication which is taken once per day. The dose is 35mg and each day the patient’s metabolism burns.

Drugs in the Body (1) Recurrence Relations A patient is given an initial dose of 50mg of a drug. Each hour the patient is given a 20mg tablet of the.

1 SS Recursion Formulas MCR3U - Santowski.

Chapter 8: Exponents & Exponential Functions 8.6 Geometric Sequences.

12.3 Geometric Sequences and Series ©2001 by R. Villar All Rights Reserved.

Controlling Variables

Warm Up In the Practice Workbook… Practice 8-8 (p. 110) # 4 a – d.

9.1 Part 1 Sequences and Series.

ALGEBRA II CONVERGENT GEOMETRIC SERIES.

Standard Accessed: Students will analyze sequences, find sums of series, and use recursive rules.

Bouncy Task Task 1Task 2Task 3Task 4 Task 5Task 6Task 7 NC Level 5 to 7.

What is a Variable?. Types of Variables Manipulated Variable The condition that will be changed in an experiment.

Science and Mathematics Assignment ‘Bouncing Ball’ Term

Problem : A basketball is dropped from a height of 200cm. It bounces on a solid surface to a height that can be expressed as half the drop height divided.

Math 20-1 Chapter 1 Sequences and Series

Maths/Science Assignments “bouncing balls” AN EXTENSION ASSIGNMENT BY KIRAN GIRITHARAN.

Math 20-1 Chapter 1 Sequences and Series

2, 4, 8, 16, … 32 Exercise. 2, 4, 6, 8, … Exercise 10.

Lesson 5.1: Exponential Growth and Decay. General Form of an Exponential Function y = ab x The total amount after x periods The initial amount The growth/decay.

x mL 80 o F Aim: How can we talk about good experiments? Do Now: Is this a good experiment? x mL 75 o F x mL 85 o F Group 1Group.

SECTION REVIEW Arithmetic and Geometric Sequences and Series.

Sequences and Series Explicit, Summative, and Recursive.

Objectives: 1. Recognize a geometric sequence 2. Find a common ratio 3. Graph a geometric sequence 4. Write a geometric sequence recursively and explicitly.

How do I find the sum & terms of geometric sequences and series?

Name the next number in the sequence: a) 1, 3, 9, 27, … b) 1, 5, 25, 125, …

11-1 Mathematical Patterns Hubarth Algebra II. a. Start with a square with sides 1 unit long. On the right side, add on a square of the same size. Continue.

1.2 Mathematical Patterns Warm-up Page 11 #13 How are expressions written and graphed for arithmetic patterns?

Homework Questions. Recursive v. Explicit Get out notes and get ready!

Section 12.3 – Infinite Series. 1, 4, 7, 10, 13, …. Infinite Arithmetic No Sum 3, 7, 11, …, 51 Finite Arithmetic 1, 2, 4, …, 64 Finite Geometric 1, 2,

Infinite Series Lesson 8.5. Infinite series To find limits, we sometimes use partial sums. If Then In other words, try to find a finite limit to an infinite.

3. Convergent Series & Compound Interest

Finding a doctor What kind of doctor do you need for your situation.

Infinite Sequences and Series

Objectives Find the nth term of a sequence. Write rules for sequences.

Calculating Dosage.

Unit 5 – Series, Sequences and Limits Section 5

How do I find the sum & terms of geometric sequences and series?

12.3 – Geometric Sequences and Series

Section 11.2 – Sequences and Series

Section 11.2 – Sequences and Series

Maria Krasnova Team from Belarus

Modeling using Sequences

64 – Infinite Series Calculator Required

65 – Infinite Series Calculator Required

12.3 – Geometric Sequences and Series

Doubling Time and Half-Life

Motion and Momentum S8P3: Students will investigate relationship between force, mass, and the motion of objects.

Mathematics Unit 33: Drug Concentrations

Math 20-1 Chapter 1 Sequences and Series

Presentation transcript:

Time to take your medicine! A patient is prescribed a 250 mg dose of an antibiotic to be taken every 8 hours for 3 days. The drug is both excreted and metabolised so that only 5% of a single dose remains in the body at the end of 8 hours. How much of the drug is in the patient at the end of the 3-day treatment?

That’s how the ball bounces A ball is dropped from a height of 4 m and bounces ¾ of the previous height on each bounce. Express the heights as a sequence – what kind is it? What is the height of the 12 th bounce? For how long will the ball bounce?

Do you really have time for this? The time taken to fall distance “h” is, show that the ball in the previous example stops bouncing after a finite amount of time! Calculate this time.