Use the maxwell relations and the euler chain rule to express the derivative (ds/dv)T in terms...

Use the maxwell relations and the euler chain rule to express the derivative (ds/dv)T in terms of the expresion coefficient alpha, and the isothermal compressibility Kt.

Expert Solution

Amanda K answered 3 years ago

Take the derivative using the Product Rule and the Chain rule with a transcendental function. Function:...

Take the derivative using the Product Rule and the Chain rule with a transcendental function. Function: (x3lnx)5 Show your work in finding the derivative. Find the values where the function has a horizontal tangent using the derivative. Write the intervals where the function is increasing and decreasing.

A. Use the Product Rule or the Quotient Rule to find the derivative of the function....

A. Use the Product Rule or the Quotient Rule to find the derivative of the function. g(x) = x3 cot(x) + 6x cos(x) B. Use the Product Rule or the Quotient Rule to find the derivative of the function. f(x) = x2 + x − 7 x2 − 7 C. Use the Product Rule or the Quotient Rule to find the derivative of the function. f(x) = (8x2 + 4)(x2 − 6x − 9)

Write dt/ds with constant H in terms of T,P,V.

In general, do not use any derivative rules ( as power rule, etc.). Find the derivative...

In general, do not use any derivative rules ( as power rule, etc.). Find the derivative of the following functions at the point "a" by computing average rate of changes for h = ±1, ±0.1, ±0.01, ±0.001, ±0.0001 : a.) f(x) = x2 + x3 , a = 1 b.) f(x) = x 2+ x3 , a = 3 c.) . f(x) = x − x2 , a = 2

Give a proof for the standard rule of differentiation, the Chain Rule. To do this, use...

Give a proof for the standard rule of differentiation, the Chain Rule. To do this, use the following information: 10.1.3 Suppose that the function f is differentiable at c, Then, if f′(c) > 0 and if c is an accumulation point of the set constructed by intersecting the domain of f with (c,∞), then there is a δ > 0 such that at each point xin the domain of f which lies in (c,c+δ) we have f(x) > f(c). If...

(a) Apply the chain rule to express ∂/∂ρ, ∂/∂ϕ, and ∂/∂θ using ∂/∂x, ∂/∂y, and ∂/∂z....

(a) Apply the chain rule to express ∂/∂ρ, ∂/∂ϕ, and ∂/∂θ using ∂/∂x, ∂/∂y, and ∂/∂z. (b) Solve algebraically for ∂/∂x, ∂/∂y, and ∂/∂z with ∂/∂ρ, ∂/∂ϕ, and ∂/∂θ when ρ does NOT equal 0 and sin ϕ does NOT equal 0. (Hint: you can use method of elimination to reduce the number of variables.) (c) Express ∂2/∂x2 with ρ, ϕ, θ, and their partials.

1.) Use the product rule to find the derivative of (−10x6−7x9)(3ex+3) 2.) If f(t)=(t2+5t+8)(3t2+2) find f'(t)...

1.) Use the product rule to find the derivative of (−10x6−7x9)(3ex+3) 2.) If f(t)=(t2+5t+8)(3t2+2) find f'(t) Find f'(4) 3.) Find the derivative of the function g(x)=(4x2+x−5)ex g'(x)= 4.) If f(x)=(5−x2) / (8+x2) find: f'(x)= 5.) If f(x)=(6x2+3x+4) / (√x) , . then: f'(x) = f'(1) = 6.) Find the derivative of the function g(x)=(ex) / (3+4x) g'(x)= 7.) Differentiate: y=(ln(x)) /( x6) (dy) / (dx) = 8.) Given that f(x)=x7h(x) h(−1)=2 h'(−1)=5 Calculate f'(−1) 9.) The dose-response for a specific...

Question 2: Calculate the time complexity function T(n) and express it in terms of big-Oh for...

Question 2: Calculate the time complexity function T(n) and express it in terms of big-Oh for the following code: Part a (hint: make use of sum of geometric progression): for (int i=1; i <= n ; i = i*2) { for ( j = 1 ; j <= i ; j ++) { cout<<”*”; } } Part b (hint: make use of sum of square of a number sequence): for (int i=1; i <= n ; i...

Starting from the expression for the total differential of enthalpy, H, express (δH/δP)T in terms of...

Starting from the expression for the total differential of enthalpy, H, express (δH/δP)T in terms of Cp and the Joule-Thompson coefficient.

y' = 2 + t^2 + y^2 0<t<1 y(0)=0 use the euler method to determine step...

y' = 2 + t^2 + y^2 0<t<1 y(0)=0 use the euler method to determine step size (h) to keep global truncation error below .0001

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