Please solve all if possible..

1. Determine the intervals where the function f(x)=2x^2−14x^4 is increasing and decreasing, and also both coordinates of all local extrema, if any. Label each extremum as a maximum or a minimum.

2. Find the absolute maximum and absolute minimum value of the function.
f(x)=2e^x^3 on [−2,1].

3. Let f(x)=1−x^(1/3).

Determine where the graph of the function is concave upward and concave downward, and the inflection points, if any.

Given:

E[x] = 4, E[y] = 6, Var(x) = 2, Var(y) = 1, and cov(x,y) = 0.2

Find a lower bound on (5 < x + y < 10). State the theorem used.

Lab Analysis: Diagnosing Patients

Based on the data collected, interpret the heath conditions observed in all 4 patients. Please highlight any measurements outside of a normal range, any possible diagnoses and possible treatments.

for all patients :

Tests outside of normal range:

Possible Diagnosis:

Possible Treatment:

Discounted Cash Flow:

Notes:

Provide your completed spreadsheet in the space below. Alternatively, do the exercise in Excel and enter the values back into the table above.

a) What are the NPVs for 11%, 13% and 15% respectively?

b) Based on your results above; what is the approximate IRR (and why)?

c) Calculate the exact IRR with Excel (to 1 decimal place).

LAB9B.DAT

■ Regression analysis, where one variable depends on another, can be used to predict levels of a dependent variable for specified levels of an independent variable. Use the EXCEL REGRESSION command to calculate the intercept and slope of the leastsquares line, as well as the analysis of variance associated with that line. Fill in the following table and use the results to answer the next few questions. Carefully choose your independent and dependent variables and input them correctly using EXCEL’s regression command. In this example, the percentage of drivers under the age of 21 affects the number of Fatals/1000 licenses.

The regression equation (leastsquares line) is

Fatals/1000 licenses = + % under 21

(intercept) (slope)

Note about data:

In a study of the role of young drivers in automobile accidents, data on percentage of licensed drivers under the age of 21 and the number of fatal accidents per 1000 licenses were determined for 32 cities. The data are stored in Table B. The first column contains a number as the city code, the second column contains the percentage of drivers who are under 21, and the third column contains the number of fatal accidents per 1000 drivers. The primary interest is whether or not the number of fatal accidents is dependent upon the proportion of licensed drivers that are under 21.

I keep putting the values in Excel and my answers are wrong.

1. How does lemon juice inhibit browning? (4 pts)

2. How does Fruit Fresh inhibit browning? (4 pts)

3. How does blanching inhibit browning? (4 pts)

4. How does the sugar solution inhibit browning? (4 pts)

5. What color is chlorophyll in acidic conditions? Basic conditions? (2 pts)

6. What color is anthocyanin in acidic conditions? Basic conditions? (2 pts)

Part 1. Operating Activities Part 2. Investing Activities Part 3. Financing Activities Part 4. Net Cash Flows and Check.

Part 1: Prepare the Operating Activities Section of the Statement of Cash Flows for Duke Company using the INDIRECT METHOD.

You will use the following information for each part:

Condensed financial data of Duke Company appear below:

Duke COMPANY

Comparative Balance Sheet

December 31

                                                                                                                  2017                   2016   

Assets

Cash                                                                                                         $ 41,000             $ 35,000

Accounts receivable                                                                                      75,000                53,000

Inventories                                                                                                  120,000              132,000

Prepaid expenses                                                                                           19,000                25,000

Investments                                                                                                100,000                75,000

Plant assets                                                                                                 325,000              250,000

Accumulated depreciation                                                                         (65,000)            (60,000)

         Total                                                                                                $615,000             $510,000

Liabilities and Stockholders' Equity

Accounts payable                                                                                      $ 93,000             $ 75,000

Accrued expenses payable                                                                             29,000                24,000

Bonds payable                                                                                            120,000              160,000

Common stock                                                                                            275,000              170,000

Retained earnings                                                                                        98,000                 81,000

         Total                                                                                                $615,000             $510,000

Duke COMPANY

Income Statement

For the Year Ended December 31, 2017

Sales                                                                                                        $450,000

Less:

         Cost of goods sold                                                                           $300,000

         Operating expenses (excluding depreciation)                                         60,000

         Depreciation expense                                                                           17,000

         Income taxes                                                                                       20,000

         Interest expense                                                                                   18,000

         Loss on sale of plant assets                                                                      3,000             418,000

Net income   $ 32,000

Consider the following data. 15,−4,−10,8,14,−10,−2,−11

Step 1 of 3: Determine the mean of the given data

Step 2 of 3: Determine the median of the given data.

Step 3 of 3: Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.

Separate multiple modes with commas, if necessary.