2 and 3 Find the local linearization of the function f(x, y) = x?y at the point (3, 1).Find the differential of f(x, y) = Vx2 + y3 at the point (1,2). Use it to estimatef(1.04, 1.98).A right circular cylinder has a radius of 50 cm and a height of 100 cm. Usedifferentials to estimate the change in volume of the cylinder if its height andradius are both increased by 1 cm.

Answered: Image /qna-images/answer/d544283f-48f7-424d-90ba-980c3ee58418.jpg

Answered: Find the differential of f(x, y) =…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

See similar textbooks

Similar questions

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
Use linearization to estimate the change in volume of a sphere when its radius changes from r to r+ Δr. Then calculates the exact value of the volume change and calculates the difference of both results
the volume of a sphere is V = (4/3)pi*r^3 a. find the differential of V b. use the differential of V to approximate the change in the Volume as the r value is increased from 4 to 4.1 inches (w/ units and work please)
the weight W of a steel ball bearing varies directly with the cube of the bearing's radius r according to the formula W= 4/3 pi(p)(r)^3, where p is the density of the steel. The surface area of a bearing varies directly as the square of its radius because A = 4 pi(r^2) a. Express the weight W of a bearing in terms of its surface area b. Express the bearing's surface area A in terms of its weight. c. For steel, p = 7.85 g/cm^3. What s the surface area of a bearing weighing 0.62 g?
The side of a square is measured to be 5 ft, with a possible error of +0.4 ft. Enter the exact answers. (a) Use differentials to estimate the error in the calculated area. Propagated error in calculated area: + ft2 (b) Estimate the percentage errors in the side and the area. Percentage error in the side: ± Percentage error in the area: +
A right-circular cylinder has a height which is three times its diameter. The diameter of the cylinder is measured to be 8cm with an uncertainty of 0.1cm. Use differentials to find the uncertainty in the calculated volume of the cylinder. What is the relative and percentage error.
Find the maximum rate of change of f at the given point and the direction in which it occurs. (x, Y) = 3y?/x, (2, 6) maximum rate of change direction

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

College Algebra (MindTap Course List)

Algebra

ISBN:

9781305652231

Author:

R. David Gustafson, Jeff Hughes

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Find the differential of f(x, y) = f(1.04, 1.98).