Questions

Starting at the same point on a straight road Anna and Benny begin biking with velocities in mi hr given by VA t 2t 2 and Vg t 5 t respectively Complete parts a through c below a Graph the velocity functions for Osts5 OA Av 0 16 12 8 4 04 0 U 2 3 5 B Av t 16 12 8 4 0 mile s and Anna rides VU mile s and Anna rides VA 2 3 4 5 mile s Benny rides farther mile s Anna rides farther C Av t 16 12 8 4 0 0 1 2 3 4 Q OD b If the bikers ride for 1 hour who rides farther Interpret your conclusion geometrically using the graph in part a Select the correct choice and fill in the answer box es to complete your choice Type integers or decimals A Since Benny rides B Anna and Benny both ride 4 mile s OC Since Benny rides Av 1 16 12 8 4 0 3 4 Q Q

What is the visual pigment used to capture light in most animals O Rhodopsin Melanin Transducin Chlorophyll

In the following problem check that it is appropriate to use the normal approximation to the binomial Then use the normal distribution to estimate the requested probabilities Suppose more than a decade ago high levels of lead in the blood put 89 of children at risk A concerted effort was made to remove lead from the environment Now suppose only 8 of children in the United States are at risk of high blood lead levels LUSE SALT a In a random sample of 202 children taken more than a decade ago what is the probability that 50 or more had high blood lead levels Round your answer to four decimal places X You may have found the complement of the desired probability b In a random sample of 202 children taken now what is the probability that 50 or more have high blood lead levels Round your answer to four decimal places 0 0000

Body position is monitored by Proprioreceptors Nociceptors Mechanoreceptors

Given that x is a normal variable with mean 49 and standard deviation 6 3 find the following probabilities Round your answers to four decimal places LUSE SALT a P x 60 b c P x 50 X X P 50 x 60

addictive and require larger doses over time O Up regulation of receptors O Down regulation of receptors O They inhibit neurotransmitter release at the synaptic cleft They promote facilitate neurotransmitter release at the synaptic cleft Question 5 The neurotransmitter used for the sense of taste is O Dopamine O Serotonin O Acetylcholine 1 pts

Lateral inhibition Excitatory postsynaptic potentials EPSP s O Inhibitory postsynaptic potentials IPSP s O Receptor field potentials Sensory modality Question 4 O Opiates are painkillers that affect the nociceptor pathways Why would opiates become addictive and require larger doses over time Up regulation of receptors Down regulation of receptors 1 pts They inhibit neurotransmitter release at the synaptic cleft

Graph the function over a two period interval y 3 cot x Choose the correct graph below O A OB Ay A O 17 O C Ay O D Ay

Answer the questions about the work of a spring a It takes 70 J of work to stretch a spring 0 2 m from its equilibrium position How much work is needed to stretch it an additional 0 4 m b It takes 70 N of force to stretch a spring 0 2 m from its equilibrium position How much work is needed to stretch it an additional 0 4 What is the work done by a variable force F moving an object along a line from x a to x b in the direction of the force b OA W xF x dx SxF x dx a OB W xF x O c W F x D W F x dx F x dx a The work required to stretch the spring an additional 0 4 meter is 560 joules Type an integer or a decimal b The work required to stretch the spring an additional 0 4 meter is 210 joules Tung an integer or a decimal

Graph the following function over a two period interval Give the period and the amplitude y sin What is the amplitude of the function y sinx Type an integer or a simplified fraction O A 1 5x Which of the following is the correct graph of the function y sin 5x y 25 OB 107 2 Ay 10n O C Ay 10x1 2 X Jox O D Ay X EI

A 8 b 34 Triangle is not necessarily drawn to scale Find the length of side b a Q round to two dec

y 29 5 X

The graph of g has a vertical asymptote at x 1 and horizontal asymptotes y 3 and y 2 Determine the limits lim g x lim g x lim g x and lim g x X 1 8118 X48 X 1 lim g x x118 lim g x 818 lim g x X 1 lim g x x 1 6 4 2 2 A g x 2 X

with variables X1 X2 X3 X4 PROBLEM 3 For a tuple of vectors A 2 2 1 1 0 0 1 1 2 2 0 0 2 2 1 1 in R4 2p verify if A is a basis of R4 4p find a basis and the dimension of span A 4p verify if 3 2 2 2 e span A

In the following problem check that it is appropriate to use the normal approximation to the binomial Then use the normal distribution to estimate the requested probabilities Ocean fishing for billfish is very popular in a certain region of Mexico In this region about 39 of strikes while trolling resulted a catch Suppose that on a given day a fleet of fishing boats got a total of 28 strikes Find the following probabilities Round you answers to four decimal places USE SALT a 12 or fewer fish were caught b 5 or more fish were caught c between 5 and 12 fish were caught

the y 3 cot x OA over a Choose the correct graph below interval SOB O C O D

Question A solid is formed by revolving the region bounded on the left by y 2x on the right by y In x above by y 6 and below by x axis about the y axis Which of the following gives the volume of the solid Select the correct answer below O y 25e4y dy Ox 25e y dy OT 4e10 1 dy 4e10y dy 1 2

Graph the function over a one period interval y cot 2x Which graph below shows one period of the function O A 6 GF G B O C A O D Ay 6 1 1131

Question Consider the region bounded by the graphs of y 7x y ln x y 6 and the x axis If this region is rotated about the y axis what is the volume of the resulting solid Select the correct answer below 6 Of y e dy Oxf 4 46 dy Oxf et y dy J

In the following problem check that it is appropriate to use the normal approximation to the binomial Then use the normal distribution to estimate the requested probabilities Do you take the free samples offered in supermarkets About 58 of all customers will take free samples Furthermore of those who take the free samples about 39 will buy what they have sampled Suppose you set up a counter in a supermarket offering free samples of a new product The day you were offering free samples 309 customers passed by your counter Round your answers to four decimal places USE SALT a What is the probability that more than 180 will take your free sample b What is the probability that fewer than 200 will take your free sample c What is the probability that a customer will take a free sample and buy the product Hint Use the multiplication rule for dependent events Notice that we are given the conditional probability P buy sample 0 39 while P sample 0 58 0 2262 d What is the probability that between 60 and 80 customers will take the free sample and buy the product Hint Use the probability of success calculated in part c

6 7 8 8 7 6544 98 7 9 8 7 0 5 4 3 2 1 0 P P 5 4 P O J8A6 21 A 12 V axis M al 1 2 3 4 5 y axis M O M 65 N N 10 123 4 5 6 7 7 1316 8 9 N Graph the dilated image of triangle XYZ using a scale factor of 1 5 and 0 0 as the center of dilation 8 9 xaxis X avis x 4 7 x 1 5 x 6 3 1 6 0 x1 5 v 9 of Y Y 2 7 4 x1 5 2 3 6 2 Ax Y Z AXYZ Graph the dilated image of quadrilateral MNOP using a scale factor of 1 3 and the origin as the center of dilation M 3 9 x N 6 0 x 13 3 6 x 3 O P 3 0 x M N 0 P Describe the dilation of quadrilateral MNOP using the origin as the center

ve 1 in en k k de i im oran ve 8 in en b y k oldu u 1 8 aras ndaki g sterimler g steriminin de i im oran n bulun Tablodaki de i im oran n doldurun de i im oran Oran De i tirmek A C E R tbe G 4 30 27 24 23 12 9 6 A 29 y x B y 6x 18 1 2 C 3 D B D F H E X F y 1 9 5 2 12 3 14 5 4 17 X 5 10 15 20 4 0 G 2 10 y 29 5 57 84 5 112 0 H 20 4 14 8 8 29 6 12 44 4 2 30

Plasma membranes in both plants and animals are lipd bilayer structures which conform to the fluid mosaic model of integrated proteins Are there any significant differences between plant and animal plasma membranes No Yes they contain different types of proteins exclusive to their phyla i e there are plant proteins and animal proteins plants don t have proteins found in animals and vice verse Yes the plasma membranes of plants are composed of phospholipid and sterol compounds such as stigmasterol animals are composed of phospholipid and cholesterol The sterol compounds regulate the fluidity of the membrane more makes the membrane more rigid Yes plants do not have transmembrane proteins while animals have both integral and peripheral proteins not found in plants

Graph the following function over a one period interval y 4 csc 2x Choose the correct graph below O A AY 10 10 X o Q OB Ay 10 10 O C Ay 104 1 10 AV O D Ay 104 10

The overall movement of liquid from areas of high potential energy to areas of lov potential energy is termed O bulk flow diffusion osmosis

Give a formula for a function f that satisfies lim f x o and lim f x 0 x 10 x 10 Choose the correct answer below X 1 X 10 OA f x OB f x x 10 x 11 OD f x x 10 x 1 OC f x 2 x 11 X 10

What is the real size in um of a cell that s 90mm wide on a photograph The scale bar on the photo is 2 7cm long and it represent 5 m Your Answer to

Find the graph of the given function y tan x Choose the correct graph below O A Ay EN 3x O B Ay EIN O G O C Ay RIN N

ROBLEM 1 2j 2 j17 Express solution in algebraic and trigonometric forms 9 7j 1 3j 3p Solve z j 3 Express solution in algebraic form 4p Compute 3p Mark on the complex plane solutions of 3 z z 4

O Exocytosis Endocytosis Facilitated diffusion Paracrine signalling agents Question 10 1 pts Fill in the proper term to the sentence using Down or Against Active transport is different from other types of transport such as osmosis because the movement of molecules in the form of ATP

diffusion osmosis bulk flow turgor pressure Question 6 1 pts Plasma membranes in both plants and animals are lipd bilayer structures which conform to the fluid mosaic model of integrated proteins Are there any significant differences between plant and animal plasma membranes No Yes they contain different types of proteins exclusive to their phyla i e there are plant proteins and animal proteins plants don t have proteins found in animals and vice verse Yes the plasma membranes of plants are composed of phospholipid and sterol compounds such as stigmasterol animals are composed of phospholipid and cholesterol The sterol compounds regulate the fluidity of the membrane more makes the membrane more rigid

ed proteins Are there any significant differences between plant and animal plasma membranes No Yes they contain different types of proteins exclusive to their phyla i e there are plant proteins and animal proteins plants don t have proteins found in animals and vice verse Yes the plasma membranes of plants are composed of phospholipid and sterol compounds such as stigmasterol animals are composed of phospholipid and cholesterol The sterol compounds regulate the fluidity of the membrane more makes the membrane more rigid Yes plants do not have transmembrane proteins while animals have both integral and peripheral proteins not found in plants Question 7 1 pts Glycoproteins are short chain oligosaccarides attached to peripheral proteins of plasma membranes they are important in the recognition of molecules such as hormones and serve as markers for the immune system True

membranes Which is not a type of gated channel Mechanically gated channel MGC responds to physical impact ex touch O Chemically gated channel CGC responds to chemical messengers ex neurotransmitters O Voltage gated channels VGC responds to changes in electrical potentials ex action potentials Water gated channel WGC responds to changes in molar concentrations ex aquaporins More than one of these is not a type of gated channel Question 9 Phagocytosis pinocytosis and receptor mediated using clatharin are three types of Exocytosis Endocytosis Facilitated diffusion 1 pts

0 08cm 14 85mm 0 027m 62 m Give the result in m do not round up your answer write exact resu Your Answer Calculate

Choose the appropriate description of the following function y 4sin 6x 7 Which of the following is the appropriate description of y 4sin 6x 7 1 OA amplitude 4 period phase shift 7 OB amplitude 7 period 3x phase shift 4 7 OC amplitude 4 period 3x phase shift 6 O D amplitude 4 period 3 phase shift 6

In the following problem check that it is appropriate to use the normal approximation to the binomial Then use the normal distribution to estimate the requested probabilities Based on long experience an airline found that about 8 of the people making reservations on a flight from Miami to Denver do not show up for the flight Suppose the airline overbooks this flight by selling 263 ticket reservations for an airplane with only 255 seats USE SALT a What is the probability that a person holding a reservation will show up for the flight 0 92 b Let n 263 represent the number of ticket reservations Let r represent the number of people with reservations who show up for the flight What expression represents the probability that a seat will be available for everyone who shows up holding a reservation P rz 263 P r 255 P r 263 P r 255 c Use the normal approximation to the binomial distribution and part b to answer the following question What is the probability that a seat will be available for every person who shows up holding a reservation Round your answer to four decimal places

Graph the given function over a one period interval y csc x 27 Choose the correct graph below O A Ay 10 10 t x 3 215x 2 2 1 A oo OB Ay 10 P 3x 2x 51 T 15 5 10 G O C Ay 10 10 I 3

True False Question 5 The net flow of water i e a solvent across a semipermeable membrane from areas of high low potential energy is termed diffusion osmosis 1 F bulk flow

Calculate 0 03cm 3 73mm 0 027m 340 m Give the result in mm do not round up your answer Write exact answer Your Answer I

A specimen observed under the 20x objective is using 75 of the filed of view of the microscope Will I be able to see the whole specimen if I observe it under the 40x objective True False

Find the a period b phase shift if any and c range of the following function y 3 sec X R 2 T a The period is Type an exact answer in terms of b Select the correct choice below and fill in the answer box within your choice OA 3 3 OC 0 00 OA The phase shift is OB The given function has no phase shift c Find the range of the function Choose the correct answer below units Type an exact answer in terms of t OB 3 U 3 OD 3 U 3

net transfer of molecules is zero True False Question 4 Diffusion is the principle way substances move within cells True 1 pts

potential energy is termed bulk flow diffusion osmosis turgor pressure Question 3 1 pts Diffusion of molecules stops when they reach a dynamic steady state equilibrium That is the net transfer of molecules is zero True

5 6 the A Show that the amount of salad is a rational number B Write the amount of salad as a decimal 7 375 C What will Rafael pay for the salad The temperature dropped steadily by 40 F over a 20 hour period Find the quotient 40 20 and explain what it means in this context Mr Nguyen s credit card Find the quotient 2103 and explain what it The balance on Mr Finch s credit card is 210 It is 3 times the balance on means in this context MP Use Repeated Reasoning Use the table shown A Convert each fraction in the table to a pattern in the results decimal Describe a B Does this pattern continue Why or why not Fraction 100 100 m 00 8 8 Michelle has to find the decimal equivalent of 15 yards How can she do this without first writing the mixed number as a fraction Decimal

Plasma membranes separate the cells internal components from the external environment Identify the organelle that is not membrane bound Endoplasmic reticulum Nuclear envelope Mitochondria O Chloroplast Ribosome Tonoplast Peroxisome

Electron microscopy is particularly adapted to the observation of bacteria because They move very fast and it is not easy to take a picture Thir organelles are small and very close to each other They possess no organelles Electrons can cross their thick cell wall Most bacterial cells are very small and hard to see with a light microscope

The depth of field increases with the magnification True False

PROBLEM 6 For a function f R R f x xe 5x 3p find the right sided slant asymptote 5p examine the monotonicity and find local extreme values 2p verify if it is injective

y square root of 4 x 2 y 0

It s true sand dunes in Colorado rival sand dunes of the Great Sahara Desert The highest dunes at Great Sand Dunes National Monument can exceed the highest dunes in the Great Sahara extending over 700 feet in height However like all sand dunes they tend to move around in the wind This can cause a bit of trouble for temporary structures located near the escaping dunes Roads parking lots campgrounds small buildings trees and other vegetation are destroyed when a sand dune moves in and takes over Such dunes are called escape dunes in the sense that they move out of the main body of sand dunes and by the force of nature prevailing winds take over whatever space they choose to occupy In most cases dune movement does not occur quickly An escape dune can take years to relocate itself Just how fast does an escape dune move Let x be a random variable representing movement in feet per year of such sand dunes measured from the crest of the dune Let us assume that x has a normal distribution with 18 feet per year and a 3 2 feet per year USE SALT Under the influence of prevailing wind patterns what is the probability of each of the following Round your answers to four decimal places a an escape dune will move a total distance of more than 90 feet in 4 years X b an escape dune will move a total distance of less than 80 feet in 4 years c an escape dune will move a total distance of between 80 and 90 feet in 4 years