Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places.  log1263.2{“version”:”1.1″,”math”:”log1263.2″}

Write the equation in its equivalent exponential form.  logb64=3{“version”:”1.1″,”math”:”logb64=3″}

Evaluate the piecewise function at the given value of the independent variable.  h(x) =x2-7x+6if x ≠-6x -2if x =-6; h (-6){“version”:”1.1″,”math”:”h(x) =x2-7x+6if x ≠-6x -2if x =-6; h (-6)”}

Use the center, vertices, and asymptotes to graph the hyperbola.  (y+2)29-(x-1)216=1{“version”:”1.1″,”math”:”(y+2)29-(x-1)216=1″}

Evaluate the expression without using a calculator.  log214{“version”:”1.1″,”math”:”log214″}

Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation.  3x+54-2x≥0{“version”:”1.1″,”math”:”3x+54-2x≥0″}

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.  log2(x+4) – log2(x-2) =2{“version”:”1.1″,”math”:”log2(x+4) - log2(x-2) =2″}

[All solutions must start by writing an equation (or equations) from the equation sheet on your paper.  The solution must then follow a logical progression from the equation(s) on the equation sheet to the answer(s).] You, ever the adventurer, are taking a hot air balloon on a trip. It begins by moving straight upwards at a constant rate of 14 m/s. When it reaches an altitude of 100 meters, you drop a weight off of the edge of the moving balloon. How many seconds will pass before the weight hits the ground? What will the magnitude of the velocity vector be when it reaches the Earth?

For this question, use up as the positive y-direction.  A ball is thrown upward.  Before the ball reaches its peak and begins to head downward…

We studied hardware support that is provided by modern processor architectures to protect TCB data and code from untrusted user code. More specifically, we examined in detail the hardware support provided by successive generations of Intel processors. Answer the following questions for these processors. Provide a brief explanation that justifies your answer. In the protected mode, what segment protection level (SPL) and page protection level (PPL) is used for kernel code that must execute with highest privilege? (4  pts.) Kernel code in a segment with DPL = 0 will always execute with current privilege level (CPL) = 0. True or false. Explain your answer. (4  pts.) With the VT-x virtualization extensions, at what hardware privilege level (or ring) does the guest operating system  run when the hypervisor is Type I? Assume that ring is defined by the CPL value.  (4 pts.) With the SGX extensions, secure code can run in an enclave. In what execution ring does code in an enclave run? (4  pts.) In VT-x, hardware support for virtualization utilizes four-level extended page tables (EPTs) to translate guest-physical addresses to actual physical addresses. When page size is 4KB, such a paging structure can translate 48-bit addresses. If we add another level to EPTs, we have a page map level 5 table or PML5 which has pointers to PML4 tables in EPTs. What size addresses can be translated after this addition of PML5? Assume page size remains the same and explain your answer. (6  pts.)