Questions

Differentiate the following function f x 13x 15 dx e13x 15

Find the value of x at which the function has a possible relative maximum or minimum point Recall that ex is positive for all x Use the second derivative to determine the nature of the function at these points 9 3x f x e3x What are the first and second derivatives of f x f x f x

Evaluate 8x2 dx x3 6 2 C Note that the constant of integration is already include

Find the value of x at which the function has a possible relative maximum or minimum point Recall that ex is positive for all x Use the second derivative to determine the nature of the function at these points f x 4 x e 4x What are the first and second derivatives of f x f x f x

Suppose x 30x 63 sin 3x 16ex f 0 25 and f 0 6 Then f x

Suppose x 30x 20 f 2 f 2 10 and f 2 12 Then f x

Evaluate e10x e10x 15 dx C Note that the constant of integration is already include

Differentiate the following function f t 4e0 06t 23e0 03t PR d dt 4e0 06 23e0 03t

Evaluate 2 4 20 cos x 20 cos x sin x dx

Success Yes p Proportion of successes Ho p 0 134 HA P 0 134 Hypothesis test results Variable Sample Race Count Total Sample Prop 0 800 Std Err Z Stat P value 0 0 012043878 11 125984 0 0001 The variable for this question is Race Question to be investigated According to the United States Census Bureau in 2019 approximately 13 4 of the U S population identified themselves as black Is the proportion of black participants lower for your chosen IAT Respond to each of the following 1 State your hypothesis in symbolic form and in words The population of interest and the meaning of the proportion in terms of the variable Race should be clear in your answer 2 StatCrunch uses a normal model to estimate the value probability Are the normality conditions met Show your work 3 Use StatCrunch to conduct the hypothesis test directions Copy and paste the results the StatCrunch output window into the textbox 4 Give your value and interpret its meaning as a conditional probability 5 State a conclusion that answers the research question Use a significance level of 5 Your answer should include the value and reference the population and the appropriate variable We cannot know whether a Type 1 or Type 2 error actually occurs in a hypothesis test But based on the results of our hypothesis test we should be aware of which type of error is possible and what that error means in the context of our test 1 For the hypothesis test you conducted in Question 2 which type of error is possible Type 1 or Type 27 Briefly explain why

Simplify the function before differentiating ex 4e5x f x et f x Simplify your answer

Find 5e0 06xdx 0 06x do

Find x 2 x 3 dx x 2 x 3 dx

Evaluate 8 sin 2 8 sin x cos x dx

A student works at a local grocery store and makes 8 00 per hour At the end of the week she is able to determine the amount of her weekly paycheck based on the hours she worked Which type of model would be the best model to describe her paycheck as a function of the hour she worked Linear Function Quadratic Function

Evaluate 45 9x 1 dx

Find f x f x x 13 f x

One of the more common isotopes leaking from the disabled Fukushima power plant is lodine 131 which has a half life of 8 days A researcher was examining 48 grams of isotope and is measuring the amount that is still radioactive each day Time days 0 8 16 24 32 40 lodine 131 grams 48 24 12 6 3 1 5 Which type of model would be the best model to describe the relationship of the number of days and the amount of radioactive material Linear Model O Quadratic Model

Differentiate the following function f x e x x dx e x x

A sales person at a jewelry store is paid a base amount each week plus a commission of sales She can determine her weekly paycheck by knowing her total sales amount and using the function below p x 200 0 03x Which correctly describes one of the parameters of this function The base amount of pay of the salesperson is 260 per week The base amount of pay of the salesperson is 60 per week The salesperson earns a 2 commission The salesperson earns a 3 commission

Write a 5th degree polynomial with a lead coefficient that is negative with only 4 zeros Draw the polynomial based on your equation Show all important values

At the start of a race Esteban is 136 meters north of a goal while Shannon is located at the goal Esteban begins running towards the goal at 3 m s while Shannon begins running east at 5 m s Suppoest seconds have elapsed How far is Esteban from the goal How far is Shannon from the goal

Find the derivative of 2 d 2 3 10 6x 6 3 10 6x 6 23

Let f x ln 4x 8x 3

0 9968 0 9970 gravity of H 0 Tabulation of density specific gravity of water at various Temp 0 9973 0 9975 0 9978 0 9980 0 9982 0 9984 0 9986 0 9987 0 9989 0 4991 19 20 21 22 23 24 Temp C 125 26

Design a true experiment involving two groups i e the experimenter decides at random in which group each participant will be placed How did you come up with this experiment Brief explanation of the experiment State the IV Name the two conditions of the experiment Fill out the experiment model State the DV

Evaluate ln x 6 dx 8

Evaluate 322 dz antidifferentiation C You do not need to enter a constar

Find the derivative of f x 8e4x 3 f x

sin x c COS I sec a csc z tan r cot a

graph of the derivative of in the figure below Which of the to the graph or f 0 y y f X is Shown following could B E

For each of the indefinite integrals below choose which of the following substitutions would be most helpful in evaluating the integral Enter the appropriate letter A B or C in each blank DO NOT EVALUATE THE INTEGRALS A x 8 tan B x 8 sin 0 C 8 sec C 1 1 2 B 3 A S 14 15 z dz 64 22 64 da 64 2 3 x da 2 64 da da 64 22 3 2

Evaluate the indefinite integral

Evaluate the indefinite integral sin sin 15x cos

Answer the following questions Be sure to show all work and justify when necessary 1 Given the function f x 4x3 3x2 17 over what intervals is f x decreasing

Evaluate the indefinite integral 16

Evaluate the indefinite integral Stan 42

Match each of the trigonometric expressions below with the equivalent non trigonometric function from the following list Enter the appropriate letter A B C D or E in each blan A tan sin x 3 B cos sin x 3 C 1 2 sin 2 sin x 3 D sin tan 2 3 E cos tan 2 3 9 x2 R 2 9 22 22 3 33 9

Accommodations Modifications that can be found on an IEP at least 3 Apply UDL Ways to Differentiate the classroom at least 3

integral

Which of the following events occurs during prophase A nucleus reforms B Chromosomes split C chromosomes line up

Evaluate the integral 9 Note Use an upper case C for the constant of integration x 1

Evaluate the integral sec x

Evaluate the definite integral T 2 sin 5

7 The graph of the derivative off is shown in the figure bellow W of f A C D E

Evaluate the indefinite integral x 1696

As a B cell is activated it forming O proliferates a clone O attacks virally infected cells pus O dies pus O releases cytokines a clot A

Evaluate the indefinite integral

Evaluate the definite integral

e integral