2.? Calculus Drill 1/11/10 zFind two positive numbers that satisfy the given requirements z(a) the product is 192 and the sum is a minimum z(b) the product.

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

problems on optimization
Guidelines for Solving Applied Minimum and Maximum Problems 1.Identify all given quantities and quantities to be determined. If possible, make a sketch.
Section 5.4 I can use calculus to solve optimization problems.
Optimization Problems
3.7 Optimization Problems
Optimization 4.7. A Classic Problem You have 40 feet of fence to enclose a rectangular garden along the side of a barn. What is the maximum area that.
4.7 Applied Optimization Wed Dec 17 Do Now Differentiate 1) A(x) = x(20 - x) 2) f(x) = x^3 - 3x^2 + 6x - 12.
Reminder: The Extreme Value Theorem states that every continuous function on a closed interval has both a maximum and a minimum value on that interval.
BASIC FUNCTIONS OF EXCEL. Addition The formula for addition is: =SUM( insert cells desired to sum up ) This returns the sum of the selected cells.
Optimization Problems
EXAMPLE 2 Standardized Test Practice SOLUTION =+.
8/15/2015 Perkins AP Calculus AB Day 12 Section 2.6.
RELATED RATES Mrs. Erickson Related Rates You will be given an equation relating 2 or more variables. These variables will change with respect to time,
Optimum Area and Perimeter Second Attempt at Lesson.
Using Calculus to Solve Optimization Problems
AIM: APPLICATIONS OF FUNCTIONS? HW P. 27 #74, 76, 77, Functions Worksheet #1-3 1 Expressing a quantity as a function of another quantity. Do Now: Express.
4.7 Applied Optimization Wed Jan 14
CHAPTER 3 SECTION 3.7 OPTIMIZATION PROBLEMS. Applying Our Concepts We know about max and min … Now how can we use those principles?
Section 14.2 Application of Extrema
{ ln x for 0 < x < 2 x2 ln 2 for 2 < x < 4 If f(x) =
Do Now: ….. greatest profit ….. least cost ….. largest ….. smallest
Linearization , Related Rates, and Optimization
4.7 Optimization Problems
Lesson 4-7 Optimization Problems. Ice Breaker Using a blank piece of paper: Find the extrema (maximum) of A(w) = 2400w – 2w² A’(w) = 2400 – 4w A’(w) =
Person A Looking down from the roof of a house at an angle of 23º a shiny object is seen. The roof of the house is 32 feet above the ground. How.
8.2: Special Right Triangles
The circumference of the circle is 50  feet. The area of the shaded region = ________ example 1 :
4.7 Optimization Buffalo Bill’s Ranch, North Platte, Nebraska Greg Kelly, Hanford High School, Richland, WashingtonPhoto by Vickie Kelly, 1999.
Miss Battaglia AB/BC Calculus. We need to enclose a field with a fence. We have 500 feet of fencing material and a building is on one side of the field.
Optimization Section 4.7 Optimization the process of finding an optimal value – either a maximum or a minimum under strict conditions.
List a zero pair. Fill in the blank. 7 + ____ = 0.
Optimization Problems
Warmup- no calculator 1) 2). 4.4: Modeling and Optimization.
Optimization Problems Section 4.5. Find the dimensions of the rectangle with maximum area that can be inscribed in a semicircle of radius 10.
4.2 Solving Inequalities Using Addition and Subtraction.
Warm up 9/10/14 a) Find all relative extrema using the 2 nd derivative test: b) Find any points of inflection and discuss the concavity of the graph.
On a 50-foot roll of cable, 15 ft are left. How many feet of cable were used? Adding and Subtracting Rational Numbers COURSE 3 LESSON Let t =
5.5 Quadratic Equations. Warm-up Factor fully. Solving by Factoring 1a) Solve.
Section 4.6/4.7: Optimization Problems Practice HW from Stewart Textbook (not to hand in) p. 311 # 1-13 odd, 19, 21, 24, 33, p. 321 # 9,
MTH 092 Section 15.6 The Pythagorean Theorem. Right Triangles A right triangle is a triangle that has one right (90-degree) angle. The side opposite the.
Optimization Problems
Finding Maximum and Minimum Values. Congruent squares are cut from the corners of a 1m square piece of tin, and the edges are then turned up to make an.
Optimization. First Derivative Test Method for finding maximum and minimum points on a function has many practical applications called Optimization -
Section 4.7. Optimization – the process of finding an optimal value- either a maximum or a minimum under strict conditions Problem Solving Strategy –
SATMathVideos.Net Find the perimeter of the square in which a circle having an area of 200 feet squared is inscribed. A) 50 feet B) 100 feet C) 150 feet.
A25 & 26-Optimization (max & min problems). Guidelines for Solving Applied Minimum and Maximum Problems 1.Identify all given quantities and quantities.
Calculus Section 4.5 Solve max/min problems Recall: The max/min value of a function occurs at a point where the derivative of the function is either zero.
4.4 Modeling and Optimization, p. 219 AP Calculus AB/BC.
Do Now: 4/11/2014 1)Take out HW 2)Problem of the Day: a)Simplify b)In the Old West, settlers often fashioned tents out of a piece of cloth thrown over.
Calculus 3-R-b Review Problems Sections 3-5 to 3-7, 3-9.
Jeopardy Related Rates Extreme Values Optimizat ion Lineari zation $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy.
Warm-up A spherical balloon is being blown up at a rate of 10 cubic in per minute. What rate is radius changing when the surface area is 20 in squared.
Optimization Problems
KD 6.4. APLIKASI TURUNAN cari model math  susun  selesaikan !
Optimization Cont..
Honors Calculus 4.8. Optimization.
Optimization Problems
Wuryatmo A.Sidik, MSc., Ph.D
12,983 {image} 12,959 {image} 12,960 {image} 12,980 {image}
Optimization Chapter 4.4.
Optimization Problems
AP Calculus BC September 29, 2016.
3.7 Optimization Problems
Using Calculus to Solve Optimization Problems
X y y = x2 - 3x Solutions of y = x2 - 3x y x –1 5 –2 –3 6 y = x2-3x.
3.7: Optimization Homework: p , 19, 21, 29, 33, 47
Find the Area of a Shaded Region
3.7 Optimization Problems
Presentation transcript:

2.? Calculus Drill 1/11/10 zFind two positive numbers that satisfy the given requirements z(a) the product is 192 and the sum is a minimum z(b) the product is 192 and the sum of the first plus three times the second is minimum

2.? Calculus Drill zTwo posts, 12 ft high and the other 28 ft high, stand 30 feet apart. They are to be stayed by two wires, attached to a single stake, running from ground level to the top of each post. Where should the stake be placed to use the least amount of wire.

Calculus Drill  Four feet of wire is to be used to form a square and a circle. How much of wire should be used for the square and how much should be used for the circle to enclose the maximum area.

Calculus zTake out hw and a pen. Everything else away.

Calculus Objective zSTW continue to work with optimization problems

Practice Problems zPage 204 z#15 z#19 z#23

Assignment # 31 zPage 204 z#’s 14, 18, 24, 26