GNU OCTAVE ASSESSMENT

Arithmetic Questions:

Compute $\sqrt[\phantom{2}]{37}(4\mathrm{.}8+2\mathrm{.}3{)}^2-\frac{1}{3}.$

Calculate $\frac{5}{2}(\frac{3}{4}+\frac{7}{8})+\frac{1}{3}(9-4{)}^3.$

Determine $\sqrt[3]{103}(6\mathrm{.}7+1\mathrm{.}5{)}^2-\frac{2}{5}.$

Compute $\frac{1}{2}(5\mathrm{.}4-2\mathrm{.}6{)}^3+\frac{2}{5}(8\mathrm{.}9+3\mathrm{.}1{)}^2-\sqrt[\phantom{2}]{29}.$

Calculate $\frac{1}{4}(\frac{3}{7}+\frac{5}{9})-\frac{2}{3}(\frac{4}{5}-\frac{1}{2}{)}^2+7.$

Exponential Questions:

$6.$ Compute $e^{3\mathrm{.}8}+lo{g}_{10}(e^{2\mathrm{.}5}).$

$7.$ Calculate $\sqrt[\phantom{2}]{15}ln(e^4)-lo{g}_{10}(200).$

$8.$ Evaluate $e^{2\mathrm{.}7}lo{g}_{10}(1000)-\sqrt[\phantom{2}]{37}$

$9.$ Compute $\frac{e^5}{lo{g}_{10}(10000)}+\sqrt[\phantom{2}]{56}.$

Vector Questions:

$10.$ Given vectors $u=[1,2,3]$ and $v=[4,5,6],$ compute the dot product $u*v.$