Question: The length ( ell ) , width ( w ) , and height ( h ) of a

The length \(\ell \), width \( w \), and height \( h \) of a box change with time. At a certain instant the dimensions are \(\ell=9\mathrm{~m}\) and \( w=h=4\mathrm{~m}\), and \(\ell \) and \( w \) are increasing at a rate of \(2\mathrm{~m}/\mathrm{s}\) while \( h \) is decreasing at a rate of \(8\mathrm{~m}/\mathrm{s}\). At that instant find the rates at which the following quantities are changing.
(a) The length of a diagonal. (Round your answer to two decimal places.)
\[
\mathrm{m}/\mathrm{s}
\]
The length \ ( \ ell \ ) , width \ ( w \ ) , and

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

(C++)Create a new derived class treasureChest from boxType. Start with the baseline code for rectangleType and boxType, and add the following to boxType: Create an enumerated type for color valid...

Q:

Redo Programming Exercise 3 by overloading the operators as nonmembers of the class boxType Write a program that tests the operations of the class boxType ********************************* boxType.h...

Q:

Redo Programming Exercise 3 by overloading the operators as nonmembers of the class boxType ********************************* boxType.h ********************************* #ifndef boxType_H #define...

Q:

C++ Help. Please add comments to the following program. #ifndef BOX_H #define BOX_H class Box { public: Box(int length, int width, int height); Box(); Box operator+(const Box& b1) const; Box...

Q:

I need help solving this basic C++ question. I need help fixing my code. Question: Design a class called a box that represents a box. Box classes have variables such as the length of the box, width,...

Q:

I have one question regarding the bool function ================================= #include using namespace std; class Box{ private: int length; int width; int height; public: Box() : length(0),...

Q:

Arrays For the questions below: Assume this Box class: public class Box { double length; double width; double height; Box(double l, double w, double h) { length = l; width = w; height = h; } double...

Q:

Class Definition Ch 04-4 public class Box { double length; double width; double height; Box(double l, double w, double h) { length = l; width = w; height = h; }// Box( ) double volume() { return...

Q:

Implement a method named surface that accepts 3 integer parameters named width, length, and depth. It will return the total surface area (6 sides) of the rectangular box it represents. heres my code...

Q:

Class Definition Ch 04-4 public class Box { double length; double width; double height; Box(double l, double w, double h) { length = l; width = w; height = h; }// Box( ) double volume() { return...

Q:

What happens to the energies of the characteristic x-rays when the potential difference accelerating the electrons in an x-ray tube is doubled?

Q:

Slatter Corporation operates primarily in the United States. However, a few years ago, it opened a plant in Spain to produce merchandise to sell there. This foreign operation has been so successful...

Q:

The exchange rate is . 7 5 5 9 U . S . dollars per Brazilian real. How many U . S . dollars are needed to purchase 3 , 0 0 0 Brazilian reals? Multiple Choice $ 3 , 6 0 7 . 9 8 $ 2 , 2 6 7 . 7 0 $ 3 ,...

Q:

Generate a project risk matrix for the Bike-sharing kiosks project and discuss the importance of defining the project risks. The WBS should contain the task, dependencies, the resources that are...