menu
bartleby
search
close search
Hit Return to see all results
Subscribe
Sign in

Math
CalculusCalculus10th Edition

close solutoin list
Chapter 12.5, Problem 29E
BuyFindarrow_forward

Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 17E
Problem 16E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
Problem 73E
Problem 74E
Problem 75E
Problem 76E
Problem 77E
Problem 78E
Problem 79E
Problem 80E
Problem 81E
Problem 82E
Problem 83E
Problem 84E
Problem 85E
Problem 86E
Problem 87E
Problem 88E
Problem 89E
Problem 90E
Problem 91E
Problem 92E
Problem 93E
Problem 94E
Problem 95E
Problem 96E
BuyFindarrow_forward

Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095
Textbook Problem
8 views

Finding CurvatureIn Exercises 29–36, find the curvature of the curve.

r ( t ) = 4 cos 2 π t i + 4 sin 2 π t j

To determine

To calculate: The curvature of the curve r(t)=4cos2π t i+4sin2π t j.

Explanation

Given:

The provided curve is, r(t)=4cos2π t i+4sin2π t j.

Formula Used:

The curvature of curve at t as: K=‖T′(t)‖‖r′(t)‖ where T(t)=r′(t)‖r′(t)‖.

Calculation:

Consider the provided curve is shown below,

r(t)=4cos2π t i+4sin2π t j

Now, differentiate r(t) and find the absolute value of r′(t) as calculated below,

r′(t)=−8π sin2π t i+8πcos2π t j

Now, find the magnitude of r′(t) as calculated below,

‖r′(t)‖ =64π2=8π

Apply formula of unit tangent vector and then solve

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution
arrow_back
Chapter 12.5,
Problem 28E
Chapter 12.5,
Problem 30E
arrow_forward

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Chapter 12 Solutions

Show all chapter solutions
add
Sect-12.1 P-1ESect-12.1 P-2ESect-12.1 P-3ESect-12.1 P-4ESect-12.1 P-5ESect-12.1 P-6ESect-12.1 P-7ESect-12.1 P-8ESect-12.1 P-9ESect-12.1 P-10E
Sect-12.1 P-11ESect-12.1 P-12ESect-12.1 P-13ESect-12.1 P-14ESect-12.1 P-15ESect-12.1 P-16ESect-12.1 P-17ESect-12.1 P-18ESect-12.1 P-19ESect-12.1 P-20ESect-12.1 P-21ESect-12.1 P-22ESect-12.1 P-23ESect-12.1 P-24ESect-12.1 P-25ESect-12.1 P-26ESect-12.1 P-27ESect-12.1 P-28ESect-12.1 P-29ESect-12.1 P-30ESect-12.1 P-31ESect-12.1 P-32ESect-12.1 P-33ESect-12.1 P-34ESect-12.1 P-35ESect-12.1 P-36ESect-12.1 P-37ESect-12.1 P-38ESect-12.1 P-39ESect-12.1 P-42ESect-12.1 P-41ESect-12.1 P-40ESect-12.1 P-43ESect-12.1 P-44ESect-12.1 P-45ESect-12.1 P-46ESect-12.1 P-47ESect-12.1 P-48ESect-12.1 P-49ESect-12.1 P-50ESect-12.1 P-51ESect-12.1 P-52ESect-12.1 P-53ESect-12.1 P-54ESect-12.1 P-55ESect-12.1 P-56ESect-12.1 P-57ESect-12.1 P-58ESect-12.1 P-59ESect-12.1 P-60ESect-12.1 P-61ESect-12.1 P-62ESect-12.1 P-63ESect-12.1 P-64ESect-12.1 P-65ESect-12.1 P-66ESect-12.1 P-67ESect-12.1 P-68ESect-12.1 P-69ESect-12.1 P-70ESect-12.1 P-71ESect-12.1 P-72ESect-12.1 P-73ESect-12.1 P-74ESect-12.1 P-75ESect-12.1 P-76ESect-12.1 P-77ESect-12.1 P-78ESect-12.1 P-79ESect-12.1 P-80ESect-12.1 P-81ESect-12.1 P-82ESect-12.1 P-83ESect-12.1 P-84ESect-12.1 P-85ESect-12.1 P-86ESect-12.1 P-87ESect-12.1 P-88ESect-12.1 P-89ESect-12.1 P-90ESect-12.1 P-91ESect-12.1 P-92ESect-12.1 P-93ESect-12.1 P-94ESect-12.2 P-1ESect-12.2 P-2ESect-12.2 P-3ESect-12.2 P-4ESect-12.2 P-5ESect-12.2 P-6ESect-12.2 P-7ESect-12.2 P-8ESect-12.2 P-9ESect-12.2 P-10ESect-12.2 P-11ESect-12.2 P-12ESect-12.2 P-13ESect-12.2 P-14ESect-12.2 P-15ESect-12.2 P-16ESect-12.2 P-17ESect-12.2 P-18ESect-12.2 P-19ESect-12.2 P-20ESect-12.2 P-21ESect-12.2 P-22ESect-12.2 P-23ESect-12.2 P-24ESect-12.2 P-25ESect-12.2 P-26ESect-12.2 P-27ESect-12.2 P-28ESect-12.2 P-29ESect-12.2 P-30ESect-12.2 P-31ESect-12.2 P-32ESect-12.2 P-33ESect-12.2 P-34ESect-12.2 P-35ESect-12.2 P-36ESect-12.2 P-37ESect-12.2 P-38ESect-12.2 P-39ESect-12.2 P-40ESect-12.2 P-41ESect-12.2 P-42ESect-12.2 P-43ESect-12.2 P-44ESect-12.2 P-45ESect-12.2 P-46ESect-12.2 P-47ESect-12.2 P-49ESect-12.2 P-48ESect-12.2 P-50ESect-12.2 P-51ESect-12.2 P-52ESect-12.2 P-53ESect-12.2 P-54ESect-12.2 P-55ESect-12.2 P-56ESect-12.2 P-57ESect-12.2 P-58ESect-12.2 P-59ESect-12.2 P-60ESect-12.2 P-61ESect-12.2 P-62ESect-12.2 P-65ESect-12.2 P-64ESect-12.2 P-63ESect-12.2 P-66ESect-12.2 P-67ESect-12.2 P-68ESect-12.2 P-69ESect-12.2 P-70ESect-12.2 P-71ESect-12.2 P-72ESect-12.2 P-73ESect-12.2 P-74ESect-12.2 P-75ESect-12.2 P-76ESect-12.2 P-77ESect-12.2 P-78ESect-12.2 P-79ESect-12.2 P-80ESect-12.2 P-81ESect-12.2 P-82ESect-12.3 P-1ESect-12.3 P-2ESect-12.3 P-3ESect-12.3 P-4ESect-12.3 P-5ESect-12.3 P-6ESect-12.3 P-7ESect-12.3 P-8ESect-12.3 P-9ESect-12.3 P-10ESect-12.3 P-11ESect-12.3 P-12ESect-12.3 P-13ESect-12.3 P-14ESect-12.3 P-15ESect-12.3 P-16ESect-12.3 P-17ESect-12.3 P-18ESect-12.3 P-19ESect-12.3 P-20ESect-12.3 P-21ESect-12.3 P-22ESect-12.3 P-23ESect-12.3 P-24ESect-12.3 P-25ESect-12.3 P-26ESect-12.3 P-27ESect-12.3 P-28ESect-12.3 P-29ESect-12.3 P-30ESect-12.3 P-31ESect-12.3 P-32ESect-12.3 P-33ESect-12.3 P-34ESect-12.3 P-35ESect-12.3 P-36ESect-12.3 P-37ESect-12.3 P-38ESect-12.3 P-39ESect-12.3 P-40ESect-12.3 P-41ESect-12.3 P-42ESect-12.3 P-43ESect-12.3 P-44ESect-12.3 P-45ESect-12.3 P-46ESect-12.3 P-47ESect-12.3 P-48ESect-12.3 P-49ESect-12.3 P-50ESect-12.3 P-51ESect-12.3 P-52ESect-12.3 P-53ESect-12.3 P-54ESect-12.3 P-56ESect-12.3 P-57ESect-12.3 P-55ESect-12.3 P-58ESect-12.3 P-59ESect-12.3 P-60ESect-12.3 P-61ESect-12.3 P-62ESect-12.4 P-44ESect-12.4 P-1ESect-12.4 P-2ESect-12.4 P-3ESect-12.4 P-4ESect-12.4 P-5ESect-12.4 P-6ESect-12.4 P-7ESect-12.4 P-8ESect-12.4 P-9ESect-12.4 P-10ESect-12.4 P-11ESect-12.4 P-12ESect-12.4 P-13ESect-12.4 P-14ESect-12.4 P-15ESect-12.4 P-16ESect-12.4 P-17ESect-12.4 P-18ESect-12.4 P-19ESect-12.4 P-20ESect-12.4 P-33ESect-12.4 P-34ESect-12.4 P-35ESect-12.4 P-36ESect-12.4 P-21ESect-12.4 P-22ESect-12.4 P-23ESect-12.4 P-24ESect-12.4 P-25ESect-12.4 P-26ESect-12.4 P-27ESect-12.4 P-28ESect-12.4 P-29ESect-12.4 P-30ESect-12.4 P-31ESect-12.4 P-32ESect-12.4 P-37ESect-12.4 P-38ESect-12.4 P-39ESect-12.4 P-40ESect-12.4 P-41ESect-12.4 P-42ESect-12.4 P-43ESect-12.4 P-45ESect-12.4 P-46ESect-12.4 P-47ESect-12.4 P-48ESect-12.4 P-49ESect-12.4 P-50ESect-12.4 P-51ESect-12.4 P-52ESect-12.4 P-53ESect-12.4 P-54ESect-12.4 P-55ESect-12.4 P-56ESect-12.4 P-57ESect-12.4 P-58ESect-12.4 P-59ESect-12.4 P-60ESect-12.4 P-61ESect-12.4 P-62ESect-12.4 P-63ESect-12.4 P-64ESect-12.4 P-65ESect-12.4 P-66ESect-12.4 P-67ESect-12.4 P-68ESect-12.4 P-69ESect-12.4 P-70ESect-12.4 P-71ESect-12.4 P-72ESect-12.4 P-73ESect-12.4 P-74ESect-12.4 P-75ESect-12.4 P-76ESect-12.4 P-77ESect-12.4 P-78ESect-12.4 P-79ESect-12.4 P-80ESect-12.5 P-1ESect-12.5 P-2ESect-12.5 P-3ESect-12.5 P-4ESect-12.5 P-5ESect-12.5 P-6ESect-12.5 P-7ESect-12.5 P-8ESect-12.5 P-9ESect-12.5 P-10ESect-12.5 P-11ESect-12.5 P-12ESect-12.5 P-13ESect-12.5 P-14ESect-12.5 P-15ESect-12.5 P-17ESect-12.5 P-16ESect-12.5 P-18ESect-12.5 P-19ESect-12.5 P-20ESect-12.5 P-21ESect-12.5 P-22ESect-12.5 P-23ESect-12.5 P-24ESect-12.5 P-25ESect-12.5 P-26ESect-12.5 P-27ESect-12.5 P-28ESect-12.5 P-29ESect-12.5 P-30ESect-12.5 P-31ESect-12.5 P-32ESect-12.5 P-33ESect-12.5 P-34ESect-12.5 P-35ESect-12.5 P-36ESect-12.5 P-37ESect-12.5 P-38ESect-12.5 P-39ESect-12.5 P-40ESect-12.5 P-41ESect-12.5 P-42ESect-12.5 P-43ESect-12.5 P-44ESect-12.5 P-45ESect-12.5 P-46ESect-12.5 P-47ESect-12.5 P-48ESect-12.5 P-49ESect-12.5 P-50ESect-12.5 P-51ESect-12.5 P-52ESect-12.5 P-53ESect-12.5 P-54ESect-12.5 P-55ESect-12.5 P-56ESect-12.5 P-57ESect-12.5 P-58ESect-12.5 P-59ESect-12.5 P-60ESect-12.5 P-61ESect-12.5 P-62ESect-12.5 P-63ESect-12.5 P-64ESect-12.5 P-65ESect-12.5 P-66ESect-12.5 P-67ESect-12.5 P-68ESect-12.5 P-69ESect-12.5 P-70ESect-12.5 P-71ESect-12.5 P-72ESect-12.5 P-73ESect-12.5 P-74ESect-12.5 P-75ESect-12.5 P-76ESect-12.5 P-77ESect-12.5 P-78ESect-12.5 P-79ESect-12.5 P-80ESect-12.5 P-81ESect-12.5 P-82ESect-12.5 P-83ESect-12.5 P-84ESect-12.5 P-85ESect-12.5 P-86ESect-12.5 P-87ESect-12.5 P-88ESect-12.5 P-89ESect-12.5 P-90ESect-12.5 P-91ESect-12.5 P-92ESect-12.5 P-93ESect-12.5 P-94ESect-12.5 P-95ESect-12.5 P-96ECh-12 P-1RECh-12 P-2RECh-12 P-3RECh-12 P-4RECh-12 P-5RECh-12 P-6RECh-12 P-7RECh-12 P-8RECh-12 P-9RECh-12 P-10RECh-12 P-11RECh-12 P-12RECh-12 P-13RECh-12 P-14RECh-12 P-15RECh-12 P-16RECh-12 P-17RECh-12 P-18RECh-12 P-19RECh-12 P-20RECh-12 P-21RECh-12 P-22RECh-12 P-23RECh-12 P-24RECh-12 P-25RECh-12 P-26RECh-12 P-27RECh-12 P-28RECh-12 P-29RECh-12 P-30RECh-12 P-31RECh-12 P-32RECh-12 P-33RECh-12 P-34RECh-12 P-35RECh-12 P-36RECh-12 P-37RECh-12 P-38RECh-12 P-39RECh-12 P-40RECh-12 P-41RECh-12 P-42RECh-12 P-43RECh-12 P-44RECh-12 P-45RECh-12 P-46RECh-12 P-47RECh-12 P-48RECh-12 P-49RECh-12 P-50RECh-12 P-51RECh-12 P-52RECh-12 P-53RECh-12 P-54RECh-12 P-55RECh-12 P-56RECh-12 P-57RECh-12 P-58RECh-12 P-59RECh-12 P-60RECh-12 P-61RECh-12 P-62RECh-12 P-63RECh-12 P-64RECh-12 P-65RECh-12 P-66RECh-12 P-67RECh-12 P-68RECh-12 P-69RECh-12 P-70RECh-12 P-71RECh-12 P-1PSCh-12 P-2PSCh-12 P-3PSCh-12 P-4PSCh-12 P-5PSCh-12 P-6PSCh-12 P-7PSCh-12 P-8PSCh-12 P-9PSCh-12 P-10PSCh-12 P-11PSCh-12 P-12PSCh-12 P-13PSCh-12 P-14PS

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

In Exercises 5-8, solve for x. x2+7x=0

Calculus: An Applied Approach (MindTap Course List)

In Exercises 14, complete the given tables. Exponential Form 101=10 55=3,125 63=216 0.53=0.125 41/4=2 34=181 Lo...

Finite Mathematics and Applied Calculus (MindTap Course List)

Expanding a Logarithmic Expression In Exercises 89-98, use the properties of logarithms to expand the logarithm...

Calculus: Early Transcendental Functions

Use an integral to estimate the sum i=110000i.

Calculus: Early Transcendentals

(a) The curve y = x/(1 + x2) is called a serpentine. Find an equation of the tangent line to this curve at the ...

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 4756, solve the given equation for the indicated variable. 10,000=700(1.043t+1) (Round the answer ...

Applied Calculus

Use power series to solve the differential equation. 9. y" xy' y = 0, y(0) = 1, y'(0) = 0

Multivariable Calculus

Using FOIL Multiply the algebraic expressions using the FOIL method and simplify. 25. (3t 2)(7t 4)

Precalculus: Mathematics for Calculus (Standalone Book)

A random sample of 26 local sociology graduates scored an average of 458 on the GRE advance sociology test, wit...

Essentials Of Statistics

Which of the following measuring scales are displayed by frequency distribution polygons? a. Either interval or...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

a. Let f, g, and h be functions. How would you define the "sum of f, g, and h? b. Give a real-life example invo...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

a Let a1=a,a2=f(a),a3=f(a2)=f(f(a)),..., an+1=f(an), where f is a continuous function. If an+1=f(an), show that...

Calculus (MindTap Course List)

Statistical Literacy You are conducting a study of students doing work-study jobs on your campus. Among the que...

Understanding Basic Statistics

Describe the difference in appearance between a bar graph and a histogram and describe the circumstances in whi...

Statistics for The Behavioral Sciences (MindTap Course List)

Express the function F(x)=1/x+x as a composition of three functions.

Single Variable Calculus

In Exercises 63 to 70, state whether each of the given pairs of sets are equal, equivalent, both, or neither. {...

Mathematical Excursions (MindTap Course List)

Insert the proper sign to replacein problems 7-14. 9.

Mathematical Applications for the Management, Life, and Social Sciences

For Problems 55-94, simplify each numerical expression. Objectives 7 23(14)+(13)(54)

Intermediate Algebra

Show that if X and Y are independent rvs, then E(XY) = E(X) E(Y). Then apply this in Exercise 25. [Hint: Consi...

Probability and Statistics for Engineering and the Sciences

Evaluate the expression sin Exercises 116. 2322

Finite Mathematics

(a) Graph the curve y=x4x3,0x4. (b) Compute the lengths of inscribed polygons with n = 1, 2, and 4 sides. (Divi...

Single Variable Calculus: Early Transcendentals

Answer true or false for review Exercises 1 to 7. If the numerator and denominator of a ratio are multiplied by...

Elementary Geometry For College Students, 7e

Identify the amplitude for each of the following. Do not sketch the graph. y=14cosx

Trigonometry (MindTap Course List)

Using ordinary interest, 360 days, calculate the missing information for the following simple discount notes. F...

Contemporary Mathematics for Business & Consumers

Three dice are rolled. What is the probability of rolling three 3s?

Elementary Technical Mathematics

[Type here] Examples 5 and 6 of Section 5.1 showed that is a commutative ring with unity. In Exercises 4 and 5,...

Elements Of Modern Algebra

Solving an Exponential or Logarithmic Equation In Exercises 43-46, solve Tor x accurate to three decimal places...

Calculus of a Single Variable

Finding a Jacobian In Exercises 35-40, And the Jacobian (x,y,z)(u,vw) for the indicated change of variables. If...

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 13-16, let X be a normal random variable with =10 and =2. Find the value of the given probability....

Finite Mathematics for the Managerial, Life, and Social Sciences

In Exercise 5 to 9, use a compass and a straightedge to complete the constructions. Given: Point N on line s Co...

Elementary Geometry for College Students

bartleby
© bartleby 2019