Use Newton's method to approximate the given number, correct to eight decimal places: {image} 2.15982999 2.15983000 2.15983002 2.15983001 1 2 3 4 5 6 7.

Slides:



Advertisements
Similar presentations
Introduction There are many applications for solid geometry in the real world. In this lesson, you will apply the formulas for the volumes of solids to.
Advertisements

EXAMPLE 3 Use the circumference of a sphere EXTREME SPORTS
Beginning Decimals. Decimal means ten One tenth 1 / Two tenths 2 / Three tenths 3 / Four tenths 4 / Five tenths 5 /
To Start: 10 Points.
Calculations with Significant Figures
Find the area of each circle.
Proportions Round One 2) x + 3 = 15 Answers 2.) x + 3 = 15 X=12 21.
Chapter 11: Surface Area & Volume 11.6 Surface Area & Volume of Spheres.
Computing the Values of Trigonometric Functions of Acute Angles Section 3.3.
Rounding (Decimal Places) Round each number to the given number of decimal places.
How do you think through and answer a real world problem involving cylinders? For example: A cylindrical rain barrel has a radius of 1.5 ft and holds approximately.
1 4.8 – Newton’s Method. 2 The Situation Let’s find the x-intercept of function graphed using derivatives and tangent lines. |x1|x1 |x2|x2 |x3|x3 Continuing,
Volume… Cylinders. If r = 6 and x = 13 units, then what is the volume of the cylinder shown below? x r.
VOLUME Volume – the amount of space, measured in cubic units, that an object or substance occupies. object.
Find the area of each circle.
Find the solution of the exponential equation, correct to four decimal places. e x =
Absolute Value Equations
Volume of Cylinders Answers use 3.14 for π.
Use the Midpoint Rule to approximate the given integral with the specified value of n. Compare your result to the actual value and find the error in the.
9.6 Surface Area and Volume of Spheres 5/5/08
11.8 Vocabulary sphere center of a sphere radius of a sphere
Find the volume of the cone. Round to the nearest tenth if necessary.
Geometry 8.3 Volume of Spheres
4.5: Linear Approximations, Differentials and Newton’s Method
Warm Up Identify all the real roots of each equation.
Fundamental Theorem of Algebra
Volume of Cones.
Find the directional derivative of the function at the given point in the direction of the vector v. {image}
12.6 Surface Area and Volume of Spheres
Solve the differential equation. {image}
If {image} find the Riemann sum with n = 5 correct to 3 decimal places, taking the sample points to be midpoints
10-5: Surface Area of Pyramid and Cone
Solve the equation for x. {image}
Day 31 – Surface Area & Volume
Evaluate the integral by changing to polar coordinates
Find the linearization L(x, y) of the function at the given point
Evaluate the iterated integral. {image} Select the correct answer
Evaluate the integral by changing to polar coordinates
The graph of a function f(x) is given below
Use a table of values to estimate the value of the limit. {image}
Volume of Pyramids TeacherTwins©2014.
Use the Midpoint Rule with n = 10 to approximate the integral
Objective: To find the surface area and volume of a sphere.
Computers in Civil Engineering 53:081 Spring 2003
Find the volume of the solid obtained by rotating about the x-axis the region under the curve {image} from x = 2 to x = 3. Select the correct answer. {image}
Find the Taylor series for f (x) centered at a = 8. {image} .
Beginning Decimals. Decimal means ten One tenth 1 / Two tenths 2 / Three tenths 3 / Four tenths 4 / Five tenths 5 /
Dividing Decimals.
Day 167 – Cylindrical structures
Fundamental Theorem of Algebra
Section 4.8: Newton’s Method
Fundamental Theorem of Algebra
Differentiate the function:   {image}
11.8 Surface Area and Volume of Spheres
Fundamental Theorem of Algebra
Fundamental Theorem of Algebra
Fundamental Theorem of Algebra
Use Formula An equation that involves several variables is called a formula or literal equation. To solve a literal equation, apply the process.
Which of the given series is(are) convergent?
Find the area of the shaded region. {image} {image}
Choose the differential equation corresponding to this direction field
Choose the equation which solution is graphed and satisfies the initial condition y ( 0 ) = 8. {applet} {image}
Which of the given series is(are) convergent?
Decimals Year 3-4 (age 7-9) - Tenths
Question 19.
Circumference is to cylinder
Beginning Decimals.
Volume of Spheres.
Beginning Decimals.
Right Triangles and Trigonometry
Presentation transcript:

Use Newton's method to approximate the given number, correct to eight decimal places: {image} 2.15982999 2.15983000 2.15983002 2.15983001 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

The following algorithm enables a computer to find reciprocals without actually dividing: {image} (You can derive it by apply Newton's method to the equation {image} .) Use this algorithm to compute {image} , correct to seven decimal places. 0.7169483 0.7169487 0.7169490 0.7169485 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

A grain silo consists of a cylindrical main section, with height 25 ft, and a hemispherical roof. In order to achieve a total volume of 23,000 {image} (including the part inside the roof section), what would the radius of the silo have to be? Find the result and round to four decimal places. r = 14.5234 ft r = 15.5805 ft r = 14.5283 ft r = 20.0970 ft 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50