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Is the following an equation of state? Use derivative and cross derivatives to confirm. Is the following an equation...
Solve for P, take derivative and cross derivetives to confirm. Is the following an equation of state? (P+ TỚI) (ỹ – b...
Solve for P, take derivative and cross derivetives to
confirm.
Is the following an equation of state? (P+ TỚI) (ỹ – b) = RT
Show cross derivative Is the Van der Waals function an equation of state? RT a P(T,...
Show cross derivative
Is the Van der Waals function an equation of state? RT a P(T, Vm) = 1,. — b Viva
Estimate the second derivative of the following function using stencils for the FORWARD and CENTRAL derivatives for an order of accuracy of O(h2) for each. Use a step size of h -1. fo)x-2x2...
Estimate the second derivative of the following function using stencils for the FORWARD and CENTRAL derivatives for an order of accuracy of O(h2) for each. Use a step size of h -1. fo)x-2x2 +6 Second derivative, Forward Difference Approximation, o(h2)- Second derivative, Central Difference Approximation, O(h2) Which of the two methods is closer to the true value? (Forward/Central 12.5 points Differential Equation Estimate the second derivative of the following function using stencils for the FORWARD an derivatives for an order...
Please solve both questions 7.10. a. The derivative (av/at)p is tedious to calculate by implicit differentiation...
Please solve both questions
7.10. a. The derivative (av/at)p is tedious to calculate by implicit differentiation of an equation of state such as the Peng-Robinson equation. Show that calculus permits us to find the derivative in terms of derivatives of pressure, which are easy to find, and provide the formula for this equation of state. b. Using the Peng-Robinson equation, calculate the isothermal compressibility of ethylene for saturated vapor and liquid at the following conditions: {T, = 0.7, P= 0.414...
5. Suppose that we have f(x)e. Use derivatives to answer the following questions. Solutions based on graphical or numerical work will receive no credit. (a) (4pts) Find f"(), the second deriv...
5. Suppose that we have f(x)e. Use derivatives to answer the following questions. Solutions based on graphical or numerical work will receive no credit. (a) (4pts) Find f"(), the second derivative of f(x) (b) (2 pts) Confirm that x =-1 is a critical point of f(x). (Evaluate f'(-1), and make a conclusion. (c) (4pts) Use the second derivative test to classify -1 as a local max. or a local min. If the second derivative test is inconclusive, then say so....
10. Use the limit definition of the derivative to calculate the derivatives of the following functions....
10. Use the limit definition of the derivative to calculate the derivatives of the following functions. a. f(x) = 2x2 – 3x + 4 b. g(x) = = x2 +1 1 x2 +1 c. h(x) = 3x - 2 a. 11. Find the derivative with respect to x. x² - 4x f(x)= b. y = sec v c. 5x2 – 2xy + 7y2 = 0 1+cos x 1-cosx cos(Inu) e. S(x) = du 1+1 + + f. y =sin(x+y) g....
Is the following an equation of state? (P+ a/TV^2)(V-b) = RT
Is the following an equation of state? (P+ a/TV^2)(V-b) = RT
Suppose the demand function is given use derivative to derive the following: QX = 500 Px0.10...
Suppose the demand function is given use derivative to derive
the following:
QX = 500 Px0.10
Pz3.34 I-1.4
6.1 Derive the price elasticity of demand
6.2 The Cross Price elasticity
6.3 The Income elasticity
6.4 Interpret the results of each elasticity.
6. Suppose the demand function is given derivatives to derive the following: use 3.34 500 P10 P334114 Qx Z 6.1 Derive the price elasticity of demand 6.2 The Cross Price elasticity 6.3 The Income elasticity 6.4 Interpret the results...
Is the following an equation of state? (P+ r™2) (V - b) = RT
Is the following an equation of state? (P+ r™2) (V - b) = RT
(1 point) For partial derivatives of a function use the subscript notation, so for the second par...
(1 point) For partial derivatives of a function use the subscript notation, so for the second partial derivative of the function u(x,t) with respect to x use uxx. For ordinary differential equations use the prime notation, so the second derivative of the function f(x) is f" Solve the heat equation 14 1502,>0 a(0,t) = 92,21(2, t) 87, t > 0 using a steady-state and transient solution: ie write u(z, 1) _ u(z,t) + S(z) with u a solution of the...
Solve for P, take derivative and cross derivetives to
confirm.
Is the following an equation of state? (P+ TỚI) (ỹ – b) = RT
Show cross derivative
Is the Van der Waals function an equation of state? RT a P(T, Vm) = 1,. — b Viva
Estimate the second derivative of the following function using stencils for the FORWARD and CENTRAL derivatives for an order of accuracy of O(h2) for each. Use a step size of h -1. fo)x-2x2 +6 Second derivative, Forward Difference Approximation, o(h2)- Second derivative, Central Difference Approximation, O(h2) Which of the two methods is closer to the true value? (Forward/Central 12.5 points Differential Equation Estimate the second derivative of the following function using stencils for the FORWARD an derivatives for an order...
Please solve both questions
7.10. a. The derivative (av/at)p is tedious to calculate by implicit differentiation of an equation of state such as the Peng-Robinson equation. Show that calculus permits us to find the derivative in terms of derivatives of pressure, which are easy to find, and provide the formula for this equation of state. b. Using the Peng-Robinson equation, calculate the isothermal compressibility of ethylene for saturated vapor and liquid at the following conditions: {T, = 0.7, P= 0.414...
5. Suppose that we have f(x)e. Use derivatives to answer the following questions. Solutions based on graphical or numerical work will receive no credit. (a) (4pts) Find f"(), the second derivative of f(x) (b) (2 pts) Confirm that x =-1 is a critical point of f(x). (Evaluate f'(-1), and make a conclusion. (c) (4pts) Use the second derivative test to classify -1 as a local max. or a local min. If the second derivative test is inconclusive, then say so....
10. Use the limit definition of the derivative to calculate the derivatives of the following functions. a. f(x) = 2x2 – 3x + 4 b. g(x) = = x2 +1 1 x2 +1 c. h(x) = 3x - 2 a. 11. Find the derivative with respect to x. x² - 4x f(x)= b. y = sec v c. 5x2 – 2xy + 7y2 = 0 1+cos x 1-cosx cos(Inu) e. S(x) = du 1+1 + + f. y =sin(x+y) g....
Suppose the demand function is given use derivative to derive
the following:
QX = 500 Px0.10
Pz3.34 I-1.4
6.1 Derive the price elasticity of demand
6.2 The Cross Price elasticity
6.3 The Income elasticity
6.4 Interpret the results of each elasticity.
6. Suppose the demand function is given derivatives to derive the following: use 3.34 500 P10 P334114 Qx Z 6.1 Derive the price elasticity of demand 6.2 The Cross Price elasticity 6.3 The Income elasticity 6.4 Interpret the results...
Is the following an equation of state? (P+ r™2) (V - b) = RT
(1 point) For partial derivatives of a function use the subscript notation, so for the second partial derivative of the function u(x,t) with respect to x use uxx. For ordinary differential equations use the prime notation, so the second derivative of the function f(x) is f" Solve the heat equation 14 1502,>0 a(0,t) = 92,21(2, t) 87, t > 0 using a steady-state and transient solution: ie write u(z, 1) _ u(z,t) + S(z) with u a solution of the...
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