Question:

A lifeguard needs to rope off a rectangular swimming area in

Last updated: 10/26/2023

A lifeguard needs to rope off a rectangular swimming area in

A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach using 800 yd of rope and floats What dimensions of the rectangle will maximize the area What is the maximum area Note that the shoreline is one side of the rectangle Let x be the length of a side of the rectangle perpendicular to the shoreline Write the objective function for the area in terms of x A x Type an expression using x as the variable The length of the shorter side of the rectangular region is The length of the longer side of the rectangular region is The maximum area of the rectangular region is

< Previous Question
New Questions on Application of derivatives
View all
A fence must be built to enclose a rectangular area of 5000 ft2 Fencing material costs 1 per foot for the two sides facing north and south and 2 per foot for the other two sides Fin the cost of the least expensive fence The cost of the least expensive fence is
Calculus
Application of derivatives
A fence must be built to enclose a rectangular area of 5000 ft2 Fencing material costs 1 per foot for the two sides facing north and south and 2 per foot for the other two sides Fin the cost of the least expensive fence The cost of the least expensive fence is
A fence must be built to enclose a rectangular area of 5000 ft Fencing material costs 3 per foot for the two sides facing north and south and 6 per foot for the other two sides Find the cost of the least expensive fence The cost of the least expensive fence is Simplify your answer
Calculus
Application of derivatives
A fence must be built to enclose a rectangular area of 5000 ft Fencing material costs 3 per foot for the two sides facing north and south and 6 per foot for the other two sides Find the cost of the least expensive fence The cost of the least expensive fence is Simplify your answer
A baseball diamond has the shape of a square with sides 90 feet long see figure A player running from second base to third base at a speed of 27 feet per second is 24 feet from third base At what rate in ft sec is player s distance from home plate changing Round your answer to two decimal places 3rd ft sec Home
Calculus
Application of derivatives
A baseball diamond has the shape of a square with sides 90 feet long see figure A player running from second base to third base at a speed of 27 feet per second is 24 feet from third base At what rate in ft sec is player s distance from home plate changing Round your answer to two decimal places 3rd ft sec Home
Use a calculator to make a table to approximate the following limit Confirm your result with l H pital s Rule lim 1 3h h 0 Complete the table below Round to four decimal places as needed h 10 1 10 2 1 h 10 10 4 1 3h h h 10 1 2 10 10 10 4 3 1 1 3h
Calculus
Application of derivatives
Use a calculator to make a table to approximate the following limit Confirm your result with l H pital s Rule lim 1 3h h 0 Complete the table below Round to four decimal places as needed h 10 1 10 2 1 h 10 10 4 1 3h h h 10 1 2 10 10 10 4 3 1 1 3h
Find the derivative of the function g x 5x 13x 3 et g x 5x 3x
Calculus
Application of derivatives
Find the derivative of the function g x 5x 13x 3 et g x 5x 3x
f x
Calculus
Application of derivatives
f x
Solve each equation for A Solve In 11x 1 5 for x 0 B Solve e 8 1 3 for x x 3
Calculus
Application of derivatives
Solve each equation for A Solve In 11x 1 5 for x 0 B Solve e 8 1 3 for x x 3
The expression e 8 52 can be written as ef 2 where f a is a function of x Find f x f x 0
Calculus
Application of derivatives
The expression e 8 52 can be written as ef 2 where f a is a function of x Find f x f x 0
Given functions Find 3x g x x 6 h x h x a hog x b State the domain in interval notation x
Calculus
Application of derivatives
Given functions Find 3x g x x 6 h x h x a hog x b State the domain in interval notation x
5 4 M 2 3 2 3 The minimum degree of the polynomial is 2 The minimum degree of the polynomial is 3 The minimum degree of the polynomial is 4 The minimum degree of the polynomial is 5 The minimum degree of the polynomial is 6 The leading coefficient is positive The leading coefficient is negative Based on the end behavior the polynomial is odd Based on the end behavior the polynomial is even
Calculus
Application of derivatives
5 4 M 2 3 2 3 The minimum degree of the polynomial is 2 The minimum degree of the polynomial is 3 The minimum degree of the polynomial is 4 The minimum degree of the polynomial is 5 The minimum degree of the polynomial is 6 The leading coefficient is positive The leading coefficient is negative Based on the end behavior the polynomial is odd Based on the end behavior the polynomial is even