Function of serveral variable

(a) Use the result of Exercise above to fine the moment of inertia of a uniform solid ball of mass m and radius b about a diameter of the ball.

(b) Use the result of Exercise above to find the moment of inertia of a hollow spherical shell of mass m and radius b about a diameter of the shell.

Expert Solution

Solution

(a) Use the result of Exercise above to fine the moment of inertia of a uniform solid ball of mass m and radius b about a diameter of the ball.

By applying the result from exercise 20 , when

In this case a=0, then I_z=2mb²/5

Therefore, I_z=2mb²/5

(b) Use the result of Exercise above to find the moment of inertia of a hollow spherical shell of mass m and radius b about a diameter of the shell.

By applying the result from exercise 20 , when

Therefore, I_z=2mb²/5

SUN BUNRA answered 3 years ago

Function of serveral variable

(a) Show that if f is homogeneous of degree α, then its partial derivatives arehomogeneous α-1(b) Show that f is homogeneous of degree α if and only if

Function of servaral variable

Find the equation of the tangent plane and find symmetric equations of the normal line to the surface at the given point.

a) Write an function that finds the independent variable value at which a mathematical function is...

a) Write an function that finds the independent variable value at which a mathematical function is maximized over a specified interval. The function must accept a handle to a function, and evaluate that function at values ranging from x1 to x2 with an increment of dx. The value returned is the value of x at which the maximum value of f(x) occurs. Function syntax: xm = xmax(f,x1,x2,dx); As was the case in the previous problem, this function does not find...

.Variable created outside of function in the main script are available within the function. (Explain by...

.Variable created outside of function in the main script are available within the function. (Explain by giving an example) a/ is it possible to include HTML in a PHP script file?explain by giving an example here is a constant: define (“LocalHost”,”127.0.0.1”); which one of the following is the correct way to refer to the above constant? LocalHost b.$LocaolHost how many times will ”I love PHP programming!”be printed in the following program segment? $count = 0 While ($count<10) eco the PHP...

Creates a function called pick. The function receives a "string" representing one year (the variable with...

Creates a function called pick. The function receives a "string" representing one year (the variable with this "string" will be called uve) and a list containing "strings" representing bank accounts (call this bera list). <br> • Each account is represented by 8 characters. The format of each account number is "**-**-**", where asterisks are replaced by numeric characters. o For example, "59-04-23". • The two central characters of the "string" for each account represent the year the account was created....

Give the production function. Name & explain each variable.

The probability function of a random variable Y is given as follows. ?(? = ?) =...

The probability function of a random variable Y is given as follows. ?(? = ?) = { 0.20, ? = 48 // 0.45, ? = 15 /// 0.14, ? = 32 // 0.05, ? = 43 /// 0.16, ? = 54 /// 0, ?. ?. a) Find the range of the random variable Y. b) Find the expected value and standard deviation of Y. c) Let ? = ? 10 + 2.70, Find the expected value and variance of X

Isoquant Analysis. A firm with production function q = K1/4L1/4 operates with variable labour and variable...

Isoquant Analysis. A firm with production function q = K1/4L1/4 operates with variable labour and variable capital. The firm sells output at a competitive price p = 80 and hires labour at w = 2 and capital at r = 0.5. This firm will produce q = will hire L = will lease capital K = will incur total cost C = will earn profits π = Now the price rises to p = 120. This firm will produce q...

Define a function named sumsinconv that accepts double precision variable theta, double precision variable alpha, and...

Define a function named sumsinconv that accepts double precision variable theta, double precision variable alpha, and unsigned integer n, and returns the solution of expression sin ⁡ ( ( n + 1 ) α 2 ) sin ⁡ ( θ + n α 2 ) sin ⁡ ( α 2 ) in C Only show the function definition. Do not write an entire program with a main function. Just write the definition for function sumsinconv.

Slack variable coefficients of 1 in the objective function. true or false

Question

Function of serveral variable

Solutions

Expert Solution

Related Solutions

Function of serveral variable

Function of servaral variable

a) Write an function that finds the independent variable value at which a mathematical function is...

.Variable created outside of function in the main script are available within the function. (Explain by...

Creates a function called pick. The function receives a "string" representing one year (the variable with...

Give the production function. Name & explain each variable.

The probability function of a random variable Y is given as follows. ?(? = ?) =...

Isoquant Analysis. A firm with production function q = K1/4L1/4 operates with variable labour and variable...

Define a function named sumsinconv that accepts double precision variable theta, double precision variable alpha, and...

Slack variable coefficients of 1 in the objective function. true or false