Question: Please help! The edges of a cube increase at a rate of 2 cm/s. How fast is the volume changing when the length of each

Please help! The edges of a cube increase at a rate

Please help!

The edges of a cube increase at a rate of 2 cm/s. How fast is the volume changing when the length of each edge is 60 cm? . . . Write an equation relating the volume of a cube, V, and an edge of the cube, a. Differentiate both sides of the equation with respect to t. dV (Type an expression using a as the variable.) The rate of change of the volume is (Simplify your answer.)

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!

Find the transfer function, G(s) = X 2 (s)/F(s), for the translational mechanical network shown in Figure P2.10. X(1) X(1) 1 N/m ft) 1 kg 1 N-s/m 1 kg Frictionless" FIGURE P2.10

The edges of a cube increase at a rate of 2 cm/s. How fast is the volume changing when the length of each edge is 30 cm? The rate of change of the volume is (Simplify your answer.)

The edges of a cube increase at a rate of 2 cm/s. How fast is the volume changing when the length of each edge is 50 cm?

#15, 17, 19 and 21 pls help and thank you. dt Expanding circle The area of a circle increases at a rate of 1 cm2/ s. ter a. How fast is the radius changing when the radius is 2 cm? b. How fast is the...

ADDRESS THESE 2 QUESTIONS AND SHOW WORK PLEASE! - The area of a circle increases at a rate of 1 cm^2/s. a. How fast is the radius changing when the radius is 4 cm? b. How fast is the radius changing...

. . 2 The area of a Circle Increases at a rate of 4 cm Is. a. How fast is the radius changing when the radius is 6 cm? b. How fast is the radius changing when the circumference is 3 cm? a. Write an...

The sides of a square increase in length at a rate of 6 mlsec. a. At what rate is the area of the square changing when the sides are 20 m long? b. At what rate is the area of the square changing when...

number 95,100,103 CHAPTER 3 Review 269 (b) Find the rate of change of the volume with respect to the radius if the height is constant. 100. A waterskier skis over the ramp shown in the figure at a...

The edges of a cube increase at a rate of 4 cm I 5. How fast is the volume changing when the length of each edge is 20 cm? Write an equation relating the volume of a cube, V, and an edge of the cube,...

When x = 5, MR = 6(5)+ 36 = 66 Hence, the required marginal revenue is 66. EXERCISE 6.1| 1. Find the rate of change of the area of a circle with respect to its radius / when (a) r = 3 cm (b) r=4 cm...

3 Suppose x is a differentiable function of t and suppose that when Find g whenx = 4ify2 = 23 x2,y 2 0. Note: Check the "Student Hint" for more help with this question. (Use symbolic notation and...

The probability of a birth being twins in a certain population is 0.03. Consider the sampling distribution of the sample proportion for samples of size 150 from this population. What is the standard...

Black Diamond Company produces snow skis. Each ski requires 2 pounds of carbon fiber. The companys management predicts that 4,800 skis and 6,100 pounds of carbon fiber will be in inventory on June 30...

Question 3 Using the same function as $ 1 , is the turning point you found a minimum point or a maximum point? Minimum Maximum

How can stream analytics be used in e-commerce?

1. Why is stream analytics becoming more popular? 2. How did the telecommunications company in this case use stream analytics for better business outcomes? What additional benefits can you foresee?...

What do you think the future of Big Data will be like? Will it lose its popularity to something else? If so, what will it be?

Out of the Vs that are used to define Big Data, in your opinion, which one is the most important? Why?

How do you define Big Data? Why is it difficult to define?

Create a 200 word summary on the Juvenile Justice System than and today. Describe The Juvenile system and provide a generalizable definition. Highlight the issues in the Juvenile system and why this...

Explain why the different types of communication are effective across an organizations hierarchy.

In your opinion, will information technology cause information overload for managers in future?

Looking at the rules and regulations that universities are establishing, do you think that business organizations should have rules for employees using social media? What types of rules do you think...