AMD has recently announced that they will be integrating a graphics processing unit with their x86 cores in a single package, though with different clocks for each of the cores. This is an example of a heterogeneous multiprocessor system which we expect to see produced commericially in the near future. One of the key design points will be to allow for fast data communication between the CPU and the GPU. Presently communications must be performed between discrete CPU and GPU chips. But this is changing in AMDs Fusion architecture. Presently the plan is to use multiple (at least 16) PCI express channels for facilitate intercommunication. Intel is also jumping into this arena with their Larrabee chip. Intel is considering to use their QuickPath interconnect technology. 1. Compare the bandwidth and latency associated with these two interconnect technologies.

Determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement.

$$\ln ( x + 1 ) = \ln x + \ln 1$$

The failure rate for desktop computers is 5% for the first year of use. For notebooks it is 15%. If you purchase both a new computer and a notebook, what is the probability that either one will fail in the first year?

Nine dollars is what percent of $12?

Explain how antibiotic resistance can evolve in bacteria.

Is the statement true for all continuous functions f(x) and g(x)? Give an explanation for your answer. The average value of the product, f(x)g(x), of two functions on an interval equals the product of the average values of f(x) and g(x) on the interval.

How is Cavalieri's Principle helpful in understanding the volume formulas for solids?

The two long, parallel wires shown in the accompanying figure carry currents in the same direction. If $I _ { 1 } = 10 \mathrm { A } \text { and } I _ { 2 } = 20 \mathrm { A }$, what is the magnetic field at point P?

When the following solutions are mixed together, what precipitate (if any) will form?

$$\mathrm { Na } _ { 2 } \mathrm { CrO } _ { 4 } ( a q ) + \mathrm { AlBr } _ { 3 } ( a q )$$

Find the solution for the equation. Check your answer. $x + 4 = 10$

Despite his success in 1936, George Gallup failed miserably in trying to predict the winner of the 1948 U.S. presidential election. His organization, as well as two others, predicted that Thomas Dewey would beat incumbent Harry Truman. All three used what is called quota sampling. The interviewers were told to find a certain number, or quota, of each of several types of people. Imagine that you are one of their interviewers, trying to follow these instructions. Whom would you ask? Now explain why you think these polls failed to predict the true winner and why quota sampling is not a good method.

Solve the given initial-value problem.

$$x _ { 1 } ^ { \prime } = 2 x _ { 2 } , \quad x _ { 2 } ^ { \prime } = x _ { 1 } + x _ { 2 } , \quad x _ { 1 } ( 0 ) = 3 , \quad x _ { 2 } ( 0 ) = 0.$$

Find the Fourier approximation with the specified order of the function on the interval $[-\pi, \pi]$. $f (x) = x,$second order

Psychologists can measure the amount learned, L, at time t using the model

$$L = A \left( 1 - e ^ { - k t } \right)$$

. The variable A represents the total amount to be learned and k is the learning rate. A student preparing for the SAT has 300 new vocabulary words to learn: A = 300. This particular student can learn 20 vocabulary words after 5 minutes: If t = 5, L = 20. How long will it take for the student to learn 260 words?