Questions

Use the magnitudes Richter scale of the 120 earthquakes listed in the accompanying data table Use technology to find the range variance and standard deviation another value 7 50 is added to those listed in the data set do the measures of variation change much Click the icon to view the table of magnitudes Without the extra data value the range is Type an integer or decimal rounded to three decimal places as needed

3x 2 d limx 2x 1

a limx c limo e lim 0 e x e e 1 tan x In 1 x 1 b lim 0 sin x d limo 1 In z f limx 2 1

x 2x b limx 0x 2x

11 3 2 m through the point 0 6

f lim o sin x cos

limx x cos

3 Find a function f such that dom f R f 0 4 but limr o f x 2 Is it possible to find such f continuous falloring

h limx sin 1

1 m 4 Y Y through the point 0 4 2 m Y Y Y Y M

on 1 Match each reagent to the macromolecule it identifies Benedict s reagent tt Biuret s reagent IKI solution Sudan III reagent Dische diphenylamine Reducing sugars Starches Lipids Proteins DNA IIIII Question 1

sin 3x x for x 0 10p Find parameters a b e R for which a function f x a arc cos sin 5 for x 0 In 1 3x for x 0 x 2x is continuous at x 0 b

Let f z 3x 5z 1 and g z 2r 1 f g f g fxg Type your answer without spaces Use for the exponents For example 72 22 7x 4 2x 3 Type your answer without spaces Use for the exponents For example 72 2x 7x 4 2x 3 Type your answer without spaces Use for the exponents For example 72 2r 7x 4 2x 3 What is the domain for all of these operations on functions POS Type your answer in interval notation without spaces use inf for infinity For example 2 inf

We are wanting to determine the forces in the ropes for the system shown below Use the following information The blue lines are the ropes in the system The red circle at C is a simple pulley and the green lines are how the pulley is connected to the wall These should not factor into your work The rope that comes from A wraps around the pulley at C and then connects to D The orange lines are used to show direction The system connects to the wall shown in black at points B E and F The positive x direction is to the right and the positive y direction is up B 1 A 15 lb 3 3 F 60 D 35 lb E 30

Solve Write a mixed numeral for the answer 6 6 Find the perimeter distance around of the polygon below Each side of the polygon has the same length side length 3 yd 7 A painter used 6 gallons of paint to paint the front of a house and another 65 gallons 9 to paint the back How much paint did he use in total 2 8 Mr Meredith is building a table The top will have a piece of marble 24 inches by 16 inches bordered by 22 inches of wood on all four sides Give the overall dimensions of 4 the table top 9 June wants to work for 14 hours at her part time job this week She has already 4 worked 5 hours How many more hours does she need to work 2 10 There were 25 3 yards of wire on a spool After a customer bought 27 yards of wire 8 from the spool how many yards were left 2 10

Ve are wanting to determine the resultant force and its angle for Point A for the system shown below Use the following information Point A is shown by the blue dot The forces are shown in black The blue lines are used to show direction The positive x direction is to the right and the positive y direction is up F 175 lb 1 F3 95 lb F4 45 lb 209 3 20P 30 F 75 lb

Which expression does NOT have a Greatest Common Factor 042 9 O 3x 12x 6 O2z 18 O 6x 22 5x

The total monthly revenue R x in dollars generated from sales of Math t shirts is related to the amount x spent on advertising by R x 2x 24x 30x 60 where x is in hundreds of dollars Compute the rate of change of revenue with respect to the amount of money spent on advertising R x Is monthly revenue increasing faster when the amount of money spent on advertising is 320 dollars or 400 dollars 320 dollars 400 dollars

Compute each of the following derivatives a 2x 8 b X dx 18 c 5 x 8 7 dx

Consider the function f x x4 4x 36x Determine the number of points on the graph of y f x that have a horizontal tangent line In other words determine the number of solutions to f x 0 Determine the values of x at which f x has a horizontal tangent line Enter your answer as a comma separated list of values The order of the values does not matter Enter DNE if f x does not have any horizontal tangent lines

2 The following data were collected about a student s study time and the grades on their test 0 5 1 1 2 75 Hours 2 3 1 7 4 25 2 Grade 85 83 93 78 3 2 2 1 95 80 3 3 91 60 75 87 Write the equation of the line or curve of best fit Make sure you chose the correct regression on the calculator round to the nearest tenth

Factor Completely 42 6x 16x 24 O z 2i z 21 2x 3 0 2 z 2i z 21 2x 3 0 2 z 2i z 2i 2x 3 0 2 z 4 2z 3

Form a Diffrentiatial equation by eliminating arbutuary constant in the cas 1 y Ax BX C

If g s g s 4s 16s 6 s compute g s Hint Simplify g s by writing it as a sum of power functions before computing g s

If g s 8 s 5 S g s S 20 compute g s

Determine the equation of the line tangent to the curve y 3x X y at the point 2 7

Derivatives Course Packet on using the derivative to compute limits If f x 4x 15x 31 evaluate lim f 3 h f 3 h 0 h If an answer does not exist enter DNE Submit Answer

J If h z 6z8 3z5 5z 2 compute h z h z

Let f x x7 5 x4 7 Compute f x by first expanding f x and then differentiating term by term f x

If g s g s 2s 17s 8 s 1 compute g s Hint Simplify g s by writing it as a sum of power functions before computing g s

Compute each of the following derivatives a 10x dx b 4x3 4 dx 30 0 x dx

Let f x x7 2 2 x5 7 Compute f x by first expanding f x and then differentiating term by term f x

Your car has a 20 gallon gas tank and is full when you leave your house You are using gas at a constant rate and therefore the amount of gas in your car is a linear function of the time you are driving After traveling for two hours your car is half full Find the slope of the linear function Select one O a 5 O b 5 O c 5 2 O d 2 5

Factor Completely 4x 6x 16x 24 O2 21 21 2x 3 02 2 4 2 3 O 21 21 2x 3 O2 x 21 21 2x 3

Factor Completely 31 75 O 3 x 5 x 5 03 x 5 x 5 03 x 5 5 03 2 25

Which expression does NOT have a Greatest Common Factor O 6x 222 5x O 3x 12 6 042 9 O 2 18

Factor Completely 6x 18 60 06 x 2 x 5 O 6x x 2 x 5 06 x 2 x 5 O x 2 x 5

A scale model of an oil tanker truck can hold 1 gallon of oil If a trucking company wants the full size truck to hold 8 000 gallons of oil what scale factor must they apply to the mode

Question 3 4 Ov NEXT y 3x 4x 3 y 2x 10 Match the system of equations below with the correct solution y 2x 4x 3 y x 10 y 2x 4 y 2x 4x 4 y x 2 2x 4 y 2x 8 y x x 12 y x 8x 16 BOOKMARK DRAG DROP THE ANSWER X No solutions Infinitely Many Solutions 1 9 3 5 13 5 4 0 Q 4 4 12 1 2 TUT

18 Label the following illustration using the terms provided angle body condylar process coronoid process mandibular notch mental foramen ramus d a b C TDDY f

nique let you isolate two mixed species from a mixed species culture b How can you be sure you have a pure culture of one species And why is getting a pure culture important c What would happen if you didn t sterilize the loop between streaks 1 3 bni 20 d Discuss the biology of the one additional species of bacteria we worked with in this part of the lab Where are they found and what role if any do they play in human health and disease glom

b Why do you flame the mouth of the tube and heat the loop to red hot c What would your results have looked like if you forgot to sterilize the loop after inoculating the Serratia and before gathering the sample from Kokuria d What do you think are the benefits to storing bacteria on a slant versus a flat agar tube Discuss the biology of the two species of bacteria we worked with in this part of the lab Where are they found and what role if any do they play in human health and disease

carotid canal foramen magnum jugular foramen mastoid process a b C d f maxilla occipital bone occipital condyle palatine bone ca posterior nasal aperture temporal bone vomer zygomatic bone g h k

The following data were collected about a student s study time and the grades on their test 1 7 3 2 2 1 3 3 0 5 2 75 1 1 83 95 80 91 60 87 75 Hours Grade 2 3 85 4 25 93 B Quadratic 2 78 Does this data follow a linear or quadratic or exponential model A Linear

You want to receive 5 000 per month for the next 5 years How much would you need to deposit today if you can earn 0 75 per month What monthly rate would you need to earn if you only have 200 000 to deposit

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