List of practice Questions

The area of the region (rounded off to one decimal place) enclosed between the curves $y = x$ and $y = 3\sqrt{x}$ and between the lines $x = 0$ and $x = 1$ is ____________ units

The volume determined from \[ \int \int \int_V 8 x y z \, dV \text{for} V = [2, 3] \times [1, 2] \times [0, 1] \] will be (in integer) \(\underline{\hspace{1cm}}\).

Find the value of \(ϕ\) for critical stability. Bita \(\beta\) was given as 30°, \(\gamma\) set is given as 20, \(γ_w = 10\). Find \(\phi\) minimum for stability?