Let u 1 Show that 6 6 u1 61116 Justify your answer Hint Apply the Mean Value Theorem to f(x) 6' on 1, u Assume that the radius r of the cylinder below is decreasing at a rate of 3 m s, and that its height h is increasing at a rate of 4 m s How fast is the diagonal L of the cylinder changing when the radius of the cylinder becomes 1 m and its height becomes 4 m Note that the diagonal L is given by L2 4r2 h2 height radius

The Answer is in the image, click to view ...

[SOLVED] Let u > 1. Show that 66 u1 >61116. Justify your

Q:

Letw :> u :> 0.5how that 1 log5 w log5 u 1 Let w > u > 0 . Show that 1 1 uln5 w In 5 w Justify your answer. Hint: Apply the Mean Value Theorem to f(x) x on u

Q:

Q5 (6 points) Let w > u >0 . Show that 1 logs w - log; u 1 w In 5 W - u u In 5 Justify your answer. Hint: Apply the Mean Value Theorem to f(x) = log; x on [u, w]

Q:

Let u - U - 0. Show that log; u - log3 U u In 3 u - U u In 3 Justify your answer. Hint: Apply the Mean Value Theorem to f(x) = log, x on [u, u]

Q:

Let a > 0. Show that COS Q - 1 2 -1. Justify your answer. Hint: Apply the Mean Value Theorem to f( ) - cos on 0, a

Q:

Let a > 0. Show that COS Q - 1 2 -1. Justify your answer. Hint: Apply the Mean Value Theorem to f( ) - cos on 0, a

Q:

ch6 1.Find the linear approximation L ( x ) to y = f ( x ) near x = a for the function. f ( x ) =1 x , a =5 L ( x ) = 2.Find the linear approximation L ( x ) to y = f ( x ) near x = a for the...

Q:

ch6 1.Find the linear approximation L ( x ) to y = f ( x ) near x = a for the function. f ( x ) =1 x , a =5 L ( x ) = 2.Find the linear approximation L ( x ) to y = f ( x ) near x = a for the...

Q:

ch6 1.Find the linear approximation L ( x ) to y = f ( x ) near x = a for the function. f ( x ) =1 x , a =5 L ( x ) = 2.Find the linear approximation L ( x ) to y = f ( x ) near x = a for the...

Q:

ch6 1.Find the linear approximation L ( x ) to y = f ( x ) near x = a for the function. f ( x ) =1 x , a =5 L ( x ) = 2.Find the linear approximation L ( x ) to y = f ( x ) near x = a for the...

Q:

Sketch graph of the function f (x ) ~ ex X+1 Q 1 whose derivatives are: F ' ( x ) = ( xtiz ex f" ( x ) = 2 2 + 1 ex ( x + 1 1 3 specify the domain, the intercepts, the vertical and horizontal...

Q:

A firm has a production function given by Q = 10K0.25L0.25. Suppose that each unit of capital costs R and each unit of labor costs W. a. Derive the long-run demands for capital and labor. b. Derive...

Q:

Extracts from ABC's annual income statements and balance sheets for the years 2019 & 2020 are as follows: Sales PPE - year end balance 2019 $ Millions 1,000 2,100 2020 $ Millions 1,100 2,900 -...

Q:

Which statement is FALSE? Most oil and gas joint operations are accounted for using the proportionate consolidation method. The combined fixed rate basis is the most commonly used method of computing...

Q:

Ludmilla Construction Company is composed of two divisions: (1) Home Construction and (2) Commercial Construction. The Home Construction Division is in the process of building 12 houses and the...

Q:

The Aries Group sold one of its plant assets on April 1 of the current year for $ 250,000. The asset had an original cost of $ 500,000 and an estimated residual value of $ 80,000. Aries used the...

Q:

The Gemini Group sold one of its plant assets on August 1 of the current year for $ 200,000. The asset had an original cost of $ 500,000 and an estimated residual value of $ 80,000. The firm used the...

Q:

Degregorio Corporation makes a product that uses a material with the following direct material standards: Standard quantity............................. 3.8 kilos / unit Standard...

Q:

Rolling Blackout Power Company constructed a new power plant to supply energy to the Northeast Electrical Grid. The construction began on January 2 and ended on December 31 of the current year. On...

Q:

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...

Q:

Describe the procedure of the department-based job order costing method.

Q:

Explain why many companies in manufacturing industries use machine-hour based costing rather than department-based job order costing methods.

Q:

What is the main difference between simple job order costing and extended job order costing?

Question: Let u > 1. Show that 66 u1 >61116. Justify your answer. Hint: Apply the Mean Value Theorem to f(x) = 6' on [1, u].

Step by Step Solution

Students Have Also Explored These Related Mathematics Questions!