Find information on:

1. Acetylcholine

2. ritalin

3. p-aminobenzoic acid

4. taxol

1. Give molecular formula and structure

2. Indicate the number of carbon’s in the molecule w/ sp3 hybridization

(circle those carbons)

3. Identify one functional group on the molecule

4. Describe biological role or significance of the compound (tell me

something unique or interesting!)

For problems 1-4 the linear transformation T/; R^n - R^m  is defined by T(v)=AV with

A=[-1 -2 -1 -1

2 1 0 -4

4 6 1 15]

1.   Find the dimensions of R^n and R^m (3 pts)

2.   Find T(<-2, 1, 4, -1>) (5 pts)

3.   Find the preimage of <-6, 12, 4> (8 pts)

4.   Find the Ker(T) (8 pts)

1.What is the order of the DE y'''+3xy'-y=x²y⁽⁴⁾+1? Justify with a complete sentence.

2.Determine whether or not the equation y=(ln(x)+2)/x , where x>0, is the solution to the IVP x²y'+xy=1, y(1)=2. Justify your final answer in a complete sentence.

You have a $10 million capital budget and must make the decision about which investments your firm should accept for the coming year. The firm’s cost of capital is 12 percent. Use the information on the four projects to determine what project(s) your firm should accept on the basis of NPV?

Group of answer choices

A.) Projects 3, 4

B.) Projects 2, 4

C.) Project 3

D.) Projects 1, 2

You have a $10 million capital budget and must make the decision about which investments your firm should accept for the coming year. The firm’s cost of capital is 12 percent. Use the information on the four projects to determine what project(s) your firm should accept on the basis of NPV?

Projects 3, 4

Projects 1, 2

Project 3

Projects 2, 4

Question 3

Again ignore any trend or seasonality in the data.  Suppose the company uses exponential smoothing to make forecasts.  

1. What are the forecasts for periods Q2 Year 1 through Q4 Year 5 assuming alpha = 0.3. Assume that the forecast for Q1 Year 1 was 25 units.
2. What are the forecasts for periods Q2 Year 1 through Q4 Year 5 assuming alpha = 0.8.  Assume that the forecast for Q2 Year 1 was 25 units.
3. Compare the accuracies of the forecasts in (a) and (b) using Mean Absolute Percent Error.  Which value of alpha gives us the better forecasts?

Question 4

Now make adjustments for trend and seasonality.

1. Quantify the trend in the time series.  What does the trend equation tell you?  
2. Quantify the seasonality in the time series by calculating seasonality indexes.  What do these indexes tell you?
3. Using the trend and the seasonality information from (a) and (b) make forecasts from Q1 Year 1 through Q4 Year 5.  
4. Use MAPE to calculate the accuracy of your forecasts.

Question 5

1. Compare the preferred method in Question 2, the preferred method in Question 3, and the method in Question 4.  Which one would you choose on the basis of MAPE?
2. Using the method in Question 4 make forecasts for the 4 quarters of Year 6.

1.

Use linear regression to find an linear function that best fits this data. Round to 2 decimal places.

y =    

2.

Use linear regression to find the equation for the linear function that best fits this data. Round to two decimal places.

y^ =   

3.

Use linear regression to find the equation for the linear function that best fits this data. Round numbers to two decimal places.

y =    

1.Consider the program:

.data

myArray: .word 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

.text

la $s0, myArray

li $s1, 0

loop: sll $t0, $s1, 2

add $t0, $t0, $s0

lw $s2, 0($t0)

lw $s3, 4($t0)

add $s2, $s2, $s3

sw $s2, 0($t0)

addi $s1, $s1, 1

slti $t1, $s1, 9

bne $t1, $zero, loop

.end

Explain what does this program do? How is the data bound from the .data segment to the base address register $s0? What address does Spim use for 0^th element of array in $s0?

2.69 a, c

Refer to the data set above, with 30 values.

1. Find the range, variance, and standard deviation of this data set.

3. Eliminate the smallest and largest value from the data set and repeat part a. What effect does dropping both of these measurements have on the measures of variation found in part a.?