Polynomials 1 Tell me everything you can about this relationship:

Slides:

Advertisements

Similar presentations

Calculus Applications Math Studies 1. a)Find the local extrema and identify them as either a local maximum or a local minimum. b)Find the coordinates.

Advertisements

Honors Geometry Section 8. 5

Section 5.4 I can use calculus to solve optimization problems.

Lesson 2-4 Finding Maximums and Minimums of Polynomial Functions.

 Algebra 1 Remediation September 3 Start on page 208 of practice packet.

Algebra with Whole Numbers Word Problems. Exercise 9.

Volume Of Solids And Liquids

Pre – CalcLesson 2.4 Finding Maximums and Minimums of Polynomial Functions For quadratic functions: f(x) = ax 2 + bx + c To fin d the max. or min. 1 st.

PRISMS AND CYLINDERS: VOLUMES, SURFACE AREAS, AND WEIGHTS

A rectangular dog pen is constructed using a barn wall as one side and 60m of fencing for the other three sides. Find the dimensions of the pen that.

Sheep fencing problems Calculus wall sheep fencing A farmer has a field in which there is a very long straight wall. The farmer also has 340 metres of.

4.4 Optimization Finding Optimum Values. A Classic Problem You have 40 feet of fence to enclose a rectangular garden. What is the maximum area that you.

Volume of Rectangular Prisms

You will learn to solve problems that involve the perimeters and areas of rectangles and parallelograms.

Relationships in Geometry Friday January 31st. Objective for today. I understand where we are headed in this unit. I can tell you what we will be covering.

Using Calculus to Solve Optimization Problems

Multiplying Polynomials

Section 4.4 Optimization and Modeling

Bellwork Clickers A pair of parallel lines are revolved about an axis to make a pair of cones. What is the volume of the shell if the two lines look like.

Pyramids Surface Area and Volume. Suppose we created a rectangular pyramid from a rectangular prism. Suppose we conducted an experience similar to yesterday’s.

Section 10.1 – Area: Parallelograms pages

Section 8.1.  The area of a plane figure is the measure of the region enclosed by the figure. You measure the area of a figure by counting the number.

Warm-Up Exercises 1. Right rectangular prism, side lengths 8 in., 5 in., and 10 in. 2. Right cone, radius 3 m, height 4 m ANSWER 340 in. 2 ; 400 in. 3.

Warm Up A shape has 5 faces, and 5 vertices how many edges does the shape have? A sphere has a radius of 7.5, what is its surface area and volume? What.

Algebra with Whole Numbers Simplifying. Simplify x6x6.

Aim: Curve Sketching Do Now: Worksheet Aim: Curve Sketching.

EXAMPLE 1 Identify similar solids Tell whether the given right rectangular prism is similar to the right rectangular prism shown at the right. a. b.

C2: Maxima and Minima Problems

Does (x+4) 2 = x ?. A square tabletop has side lengths of (4x – 6) units. Write a polynomial that represents the area of the tabletop.

10-1: Area of Parallelograms and Triangles Objectives: To find the area of parallelograms and triangles To find the area of parallelograms and triangles.

Optimization Problems Section 4.5. Find the dimensions of the rectangle with maximum area that can be inscribed in a semicircle of radius 10.

Theorems I LOVE Parametric Equations Factors, Remainders, And Roots (oh my!) Max-MinInequalitiesGraph.

Section 4.5 Optimization and Modeling. Steps in Solving Optimization Problems 1.Understand the problem: The first step is to read the problem carefully.

Finding Numbers Find two consecutive positive even numbers whose product is – Applications of Quadratic Equations.

Formulas. 1. Solve the formula for the indicated variable:

Make a Model A box company makes boxes to hold popcorn. Each box is made by cutting the square corners out of a rectangular sheet of cardboard. The rectangle.

Twenty Questions Algebra 2012 EOC Review Twenty Questions

Chapter 11 Maximum and minimum points and optimisation problems Learning objectives:  Understand what is meant by stationary point  Find maximum and.

Optimization Problems 1.Identify the quantity you’re optimizing 2.Write an equation for that quantity 3.Identify any constraints, and use them to get the.

Surface Area and Volume of Pyramids Goal: Students will find the surface area and volume of pyramids.

4.4 Optimization Buffalo Bill’s Ranch, North Platte, Nebraska Greg Kelly, Hanford High School, Richland, WashingtonPhoto by Vickie Kelly, 1999 With additional.

EQ: How are extreme values useful in problem solving situations?

For example: y=-3x2+18x+25.

Copyright © 2006 Pearson Education, Inc

Optimizing Area/SA/Volume

Analyzing Graphs of Polynomial Functions

Ratios, Proportions, & Geometric Mean

MAXIMIZING AREA AND VOLUME

12,983 {image} 12,959 {image} 12,960 {image} 12,980 {image}

Optimization Chapter 4.4.

9.3 Solve Using Square Roots

From a square sheet of paper 20 cm by 20 cm, we can make a box without a lid. We do this by cutting a square from each corner and folding up the flaps.

A farmer has 100m of fencing to attach to a long wall, making a rectangular pen. What is the optimal width of this rectangle to give the pen the largest.

Using Calculus to Solve Optimization Problems

Find the surface area of the

Objectives Students will learn how to use geometric mean to find segment lengths in right triangles and apply similarity relationships in right triangles.

Cost of fencing, leveling and cementing

Drill Solve for x: Find the surface Area of a rectangular prism if the dimensions are 3 x 5 x 6. Find the volume of a right cylinder with radius 5 cm.

6.4 Solving by Factoring.

Similar Shapes.

Cost of Levelling.

Cost of fencing.

Area and Perimeter Review

Tell me everything you can about this relationship:

Polynomials 1 Tell me everything you can about this relationship:

The area of a circle with radius r

Finding Maximums & Minimums of Polynomial Functions fguilbert.

Surface Area and Volume

Presentation transcript:

Polynomials 1 Tell me everything you can about this relationship: Polynomials 2 Tell me everything you can about this relationship:

Problem Solving 1 Problem Solving 2 A rectangular pen is formed from 40m of fencing with a long wall forming one side of the pen, as shown in the diagram; Wall Cattle pen x x The two opposite sides of the pen which touch the wall and each have length x metres. What is the maximum area that can be enclosed? Problem Solving 2 An open cubiodal tank of height h metres is to be made with a square base of length x metres and breadth x metres, as shown in the diagram; The external surface area of the tank is to be 48m2. What is the maximum volume that can be held?

(+3, -6) and (5, +4) (-14, +1) and (-2, -4) Coordinates 1 Tell me everything that you can about the line segment that joins this pair of coordinates; (+3, -6) and (5, +4) Coordinates 2 Tell me everything that you can about the line segment that joins this pair of coordinates; (-14, +1) and (-2, -4)