Question

Q3/ A- Write a program to calculate average density, conductivity and specific heat for water in the range of temperatures from 0 to 50 C. Knowing that these parameters for water are a function of temperature such as the following equations. The Density $\rho = 1200 - 1.005 \ T_k^\circ + 0.001 \ (T_k^\circ)^2$ The conductivity $K = 0.3 + 9.2 \times 10^{-4} \ T_k^\circ$ The Specific heat $C_p = 0.01 \ (T_k^\circ - 308.2)^2 + 4180.9$ Note: take 11 point of temperatures. B- Write the required code to solve: $\frac{d^2y}{dx^2} - 2\frac{dy}{dx} - 3y = x^2$ C- Find the first derivative of the function $\frac{\sin x}{\ln x^2} - e^x$ and evaluate it at $x = 3$.

          Q3/ A- Write a program to calculate average density, conductivity and specific heat for
water in the range of temperatures from 0 to 50 C. Knowing that these parameters
for water are a function of temperature such as the following equations.
The Density
$\rho = 1200 - 1.005 \ T_k^\circ + 0.001 \ (T_k^\circ)^2$
The conductivity
$K = 0.3 + 9.2 \times 10^{-4} \ T_k^\circ$
The Specific heat
$C_p = 0.01 \ (T_k^\circ - 308.2)^2 + 4180.9$
Note: take 11 point of temperatures.
B- Write the required code to solve: $\frac{d^2y}{dx^2} - 2\frac{dy}{dx} - 3y = x^2$
C- Find the first derivative of the function $\frac{\sin x}{\ln x^2} - e^x$ and evaluate it at $x = 3$.

Q3/ A- Write a program to calculate average density, conductivity and specific heat for
water in the range of temperatures from 0 to 50 C. Knowing that these parameters
for water are a function of temperature such as the following equations.
The Density
ρ = 1200 - 1.005 Tk^∘ + 0.001 (Tk^∘)^2
The conductivity
K = 0.3 + 9.2 × 10^-4 Tk^∘
The Specific heat
Cp = 0.01 (Tk^∘ - 308.2)^2 + 4180.9
Note: take 11 point of temperatures.
B- Write the required code to solve: (d^2y)/(dx^2) - 2(dy)/(dx) - 3y = x^2
C- Find the first derivative of the function (sin x)/(ln x^2) - e^x and evaluate it at x = 3.

Added by Shawn T.

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