Question

Q1 (a) Use symbolic mathematics in Matlab to define the following expression and obtain the value of y at x=3: y = \frac{x^4}{\ln(x)} - \frac{\sqrt[2]{x^3}}{e^{\log(x)}} Note: \ln (x) is the natural logarithm of x and \log (x) is the logarithm of x to base 10. (b) Use symbolic mathematics in Matlab to determine the derivative of the above expression and obtain its value at x=5. (c) Use symbolic mathematics in Matlab to determine the values of x, y, z, and t from the following set of equations. 2x + 3y + 4z - 5t = -6 6x + 7y - 8z + 9t = 96 10x + 11y + 12z + 13t = 312 14x + 15y + 16z + 17t = 416

          Q1
(a) Use symbolic mathematics in Matlab to define the following expression and obtain the value
of y at x=3:
y = \frac{x^4}{\ln(x)} - \frac{\sqrt[2]{x^3}}{e^{\log(x)}}
Note: \ln (x) is the natural logarithm of x and \log (x) is the logarithm of x to base 10.
(b) Use symbolic mathematics in Matlab to determine the derivative of the above expression
and obtain its value at x=5.
(c) Use symbolic mathematics in Matlab to determine the values of x, y, z, and t from the
following set of equations.
2x + 3y + 4z - 5t = -6
6x + 7y - 8z + 9t = 96
10x + 11y + 12z + 13t = 312
14x + 15y + 16z + 17t = 416

Q1
(a) Use symbolic mathematics in Matlab to define the following expression and obtain the value
of y at x=3:
y = (x^4)/(ln(x)) - (√(x^3))/(e^log(x))
Note: ln(x) is the natural logarithm of x and log(x) is the logarithm of x to base 10.
(b) Use symbolic mathematics in Matlab to determine the derivative of the above expression
and obtain its value at x=5.
(c) Use symbolic mathematics in Matlab to determine the values of x, y, z, and t from the
following set of equations.
2x + 3y + 4z - 5t = -6
6x + 7y - 8z + 9t = 96
10x + 11y + 12z + 13t = 312
14x + 15y + 16z + 17t = 416

Added by Annette T.

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