
a.
The table whose perimeter is 2400 and area of each configuration is maximum.
a.

Answer to Problem 21P
The possible pairs whose perimeter is 2400 and area is maximum is length =1200 and breadth=600.
Explanation of Solution
Given information:
Concept Used:
Let x is the breadth of rectangular field and y is the length of rectangular field.
Then
y is the side parallel to river and x is the other side.
Calculation:
X | Y | Product |
100 | 2200 | 210000 |
200 | 2000 | 40000 |
300 | 1800 | 540000 |
400 | 1600 | 640000 |
500 | 1400 | 700000 |
600 | 1200 | 720000 |
700 | 1000 | 700000 |
Conclusion:
Only these values are possible after that area start decreasing. So answer for maximum area 600 is breadth and 1200 is length.
b.
To determine the area in terms of one side.
b.

Answer to Problem 21P
The area is
Explanation of Solution
Given information :
Perimeter is
Concept Used:
Perimeter is
Let length of rectangular field be y and breadth be x.
Calculation:
Fencing along three sides of river.
Put equation 2 in 1,
Conclusion:
The required area in terms of one side is
c.
To compare the answer with subpart a .
c.

Answer to Problem 21P
The answer is same as subpart a .
Explanation of Solution
Given information :
Perimeter is
Concept used:
Maximise the area by using
First differentiation is equal to zero for maximization.
Calculation:
Differentiate with respect to x ,
Put
Conclusion:
The answer is same as subpart a . So model of function is correct.
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- For the curve defined by r(t) = (e** cos(t), et sin(t)) find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t = πT 3 T (1) N Ň (1) 133 | aN = 53 ar = = =arrow_forwardFind the tangential and normal components of the acceleration vector for the curve - F(t) = (2t, −3t³, −3+¹) at the point t = 1 - ā(1) = T + Ñ Give your answers to two decimal placesarrow_forwardFind the unit tangent vector to the curve defined by (t)=(-2t,-4t, √√49 - t²) at t = −6. T(−6) =arrow_forward
- An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south of west at 50 mph. What is the ground speed of the airplane? What is the bearing of the airplane? 428 mph 41° 50 mph a. The ground speed of the airplane is b. The bearing of the airplane is mph. south of west.arrow_forwardRylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude and its direction angle from the positive x-axis. 119 lb 20.2° 377 lb a. The resultant force is (Tip: omit degree notations from your answers; e.g. enter cos(45) instead of cos(45°)) b. It's magnitude is lb. c. It's angle from the positive x-axis isarrow_forwardFind a plane containing the point (3, -3, 1) and the line of intersection of the planes 2x + 3y - 3z = 14 and -3x - y + z = −21. The equation of the plane is:arrow_forward
- Determine whether the lines L₁ : F(t) = (−2, 3, −1)t + (0,2,-3) and L2 : ƒ(s) = (2, −3, 1)s + (−10, 17, -8) intersect. If they do, find the point of intersection. ● They intersect at the point They are skew lines They are parallel or equalarrow_forwardAnswer questions 2arrow_forwardHow does a fourier transform works?arrow_forward
- Determine the radius of convergence of a power series:12.6.5, 12.6.6, 12.6.7, 12.6.8Hint: Use Theorem12.5.1 and root test, ratio test, integral testarrow_forwardCan you answer this question and give step by step and why and how to get it. Can you write it (numerical method)arrow_forwardCan you answer this question and give step by step and why and how to get it. Can you write it (numerical method)arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





