Questions

Find an equation for the line tangent to the curve y x 9 x 4 at x 1 y

Divide and simplify 2 9 2 9 3 4 3 4 3 11 Simplify your answer Type an integer or a fraction

sources Derivatives Course Packet on basic rules of differentiation an example of the product Derivatives Course Packet on basic rules of differentiation an example of the quotien a If f x x 7x 11 x 2 compute f 1 f 1 b If g x E x 7x 11 7 x 2 g 1 compute g 1

1 At a cheesecake factory a piece of cheesecake is of a cheesecake How much of 12 the cheesecake is 1 6 of a piece 1 At a cheesecake factory of a piece of cheesecake is of a whole cheesecake 6 Type an integer or a simplified fraction

1 Derivatives Course Packet on basic rules of differentiation an e If f x f x 4x 6 x 2 I compute f x

What is the approximate value of tan B B 7 A 17 46 16 20 A 0 40 OB 0 44 C 0 92 D 2 29 C

Use Pascal s Triangle to complete the expansion of t u 4 2 t6 6t u tu 20t u 15t u4 6tu5 u6

Find the points of intersection y x 2x x 8 n X Y if any of the graphs of the equations Use a graphing utility to check your results y x 7x 8 smatest x value largest x value

Use the law of sines to find the length of side A 38 b O A 21 28 OB 29 37 OC 38 06 D 25 B 31 6 25

sin 2 pi 3 cos2 pi cos 2 pi 3 sin 3 pi 2

Consider the position function s t 4 912 34t 25 Complete the following table with the appropriate average velocities and then make a conjecture about the value of the instantaneous velocity at t 4 Complete the following table Type exact answers Type integers or decimals Time Interval Average Velocity 10 1 5 69 4 5 4 4 1 4 4 01 4 4 001 4 4 0001 5 249 5 2049 5 20049 The value of the instantaneous velocity at t 4 is Round to the nearest tenth as needed

Find x in the following equalities 12 Cx 12 C2x 3 P x 2 90 3 C 3p x 3 1 2

Let A is 2 x 2 matrix with 2 and 2 eigenvalues and suppose that 2 is an eigenvector for the value 2 and B is an eigenvector for the value 2 Find A

5 Find the value of x that makes ALMN APQR L 10 M 12 R X 7 N 6 Q 5 P

n the following frequency distribution find Class limits frequency 8 12 3 13 17 18 22 23 27 28 32 5 15 5 2 1 Construct a polygon 2 Variance 3 The coefficient of variation 4 Midquartile 5 Q3

For the following data x y 5 16 2 10 13 12 4 3 1 Find the correlation coefficient for the dat 2 Find the motion ling paroca

The owner of a chicken market determined that the average weight for a chicken is 3 2 pounds with a standard deviation of 0 8 pound Assuming the weights of chicken are normally distributed find the following probabilities 1 The probability that a randomly selected chicken will weigh more than 4 4 pounds 2 the probability that a randomly selected chicken will weigh less than 2 2 pounds 3 A citation chicken should be one of the top 2 in weight At what weight in pounds should the citation designation be established

7 3 10 1 2 P10 17 Modified see problem below Valuing perffered stock a What is the value of a preferred stock where the dividend rate is 6 0 percent on a 50 par value and the market s required yield on similar shares is 7 0 percent b Should you acquire the stock if the current market price is 45 00 share c If you purchase the stock for the value 45 share what is your expected rate of return Hint use the formula Expected rate of return Dividend dollars on preferred stock the price of a share of preferred stock Preferred Stock Valuation and Expected Rate of Return Par value Current market price Dividend rate Dividend dollars Required Rate of Return A Value Hint See section 10 3 B C Expected rate of return 201 50 6 0 3 00 calc 7 0 42 86 see page 317 equation 10 6 6 67 F

Product Tables T Chairs C Find the following probabilities P XUT P X T Factory X 18 6 Factory Y 32 20 Factory Z 15 13

2 3 301 given the matrix A 8 24 and vector b 4 081 find if the vector Spans matrix A

Seven men and six women belong to a sport club the club has been asked to select four of their members to represent it on local competition a How many ways can the four members be selected so that two are men and two are women b How many ways can 1 team head 1 assistant 1 speaker 1 secretary be selected

Find the value of x that makes AABC AADE helmi2 elgnan Ad qclav nguons zi noto 28 WO A 30 E B 10 1

Permitting the exchange of nutrients and gases between the blood and tissue cells is the primary function of O a Veins Ob Arteries O c Capillaries O d Arterioles

4 S 6 17 18 19 20 21 2222222285 23 24 26 27 a 29 30 31 32 a What is the value of the stock to you given a 10 required rate of return b Should you purchase the stock Why b Do D ROE Ret R g r Value 1 45 1 56 15 10 7 50 50 reteniton rate 15 51 NEED TO KNOW ERR

Use a graph off to estimate lim f x or to show that the limit does not exist Evaluate f x near x a to support your x a conjecture f x 1 cos 2x 2 3 x 1 a 1 www OB The limit does not exist b Evaluate f x for values of x near 1 to support your conjecture 1 001 1 01 0 666667 0 666643 X 0 9 0 99 0 999 f x 0 664447 0 666643 0 666667 Round to six decimal places as needed Does the table from the previous step support your conjecture 1 1 0 664447 O A No it does not The function f x approaches a different value in the table of values than in the graph Yes it does The graph and the table of values both indicate that the limit as x approaches 1 does not exist O B C No it does not The function approaches different values in the table of values as x approaches 1 from the left and from the right O D Yes it does The graph and the table of values both show that f x approaches the same value

7 Which of the following can pass directly through the lipid bilayer of endothelial cell plasma membranes O a All answers are correct O b Amino acids Steroid hormones Od Glucose

The angle 8 is an integer e g 0 1 2 when measured in radians Give the radian measure of the angle It helps to Question Viewer 3 The rodio manguro X Q f the anglo

The force due to presence of plasma proteins pulls fluid into capillaries from interstitial spaces is a Interstitial fluid osmotic pressure Ob Blood colloid osmotic pressure OC Net filtration pressure d Blood hydrostatic pressure

Most neurons in the brain and spinal cord are a Multipolar O b Bipolar OC Unipolar O d Pseudounipolar

Which of the following receives only sympathetic innervation O a Kidney O b O c Heart O d Liver Intestines

Proprioceptors monitor movements of joints and muscles during physical activity a True b False

Permitting the exchange of nutrients and gases between the blood and tissue cells is the primary function of Oa Veins O b Arteries O c Capillaries O d Arterioles

The period of time during which a second action potential can be initiated but only by a larger than normal stimulus is O a Excitatory postsynaptic period O b Inhibitory postsynaptic period Relative refractory period O d Absolute refractory period

In the autonomic reflex that regulates blood pressure the type of sensory receptors involvedores O a Thermoreceptors O b Baroreceptors O c Chemoreceptors O d Propioceptors

Blood ejected from the right ventricle flows into the Posterior vena cava O b Pulmonary arteries Inferior vena cava d Pulmonary veins

All of the following can affect pulmonary ventilation except O a Airway Resistance b The oxygen hemoglobin dissociation curve Oc Compliance of the Lungs Od Surface Tension of Alveolar Fluid

Which of the following causes hyperpolarizing graded potential O a Applied pressure O b Binding of Acetylcholine Oc Binding of glycine Od None of the above

Gap junctions are common in O a visceral smooth muscle b cardiac muscle and the O c developing embryo Od All of the above

Polycythemia decreases the viscosity of blood thus increasing blood pressure O a True Ob False

Blood returning to the heart from the inferior vena cava would enter the O a Right atrium Ob Left atrium Oc Left ventricle Od Right ventricle

Branching is found in O a Cardiac muscle O b Skeletal muscle O c None of the answers is correct Od Smooth muscle

Vital capacity is sum of O a Inspiratory reserve volume tidal volume and expiratory reserve volume O b Residual volume inspiratory volume and expiratory volume O c Tidal volume Inspiratory reserve volume and residual volume Od Expiratory reserve volume inspiratory reserve volume and residual volume

The accessory muscles of inhalation include O a Diaphragm Ob Internal intercostals OC Sternocleidomastoid O d External intercostals

Some capillaries contain these small openings in the endothelial lining O a Fenestration b Venous valves Gap junctions d Tight junctions Oc

Considering action potential which of the following is correct Threshold stimulus is required O b K goes from ECF to ICF Does not obey all or none phenomenon d It is a gradual phenomenon

The amount of air that can be inspired above the tidal volume is O a Vital capacity O b Tidal air c Expiratory reserve Od Inspiratory reserve

Blood passes from the left atrium into the left ventricle through O a Aortic semilunar valve b Tricuspid valve Mitral valve Oc Od Pulmonary semilunar valve

The main function of surfactant is Reduce alveolar pressure O b Increase alveolar pressure OC Increase surface tension of alveolar fluid d Reduce surface tension of alveolar fluid S C P Categ P D P P

Blood viscosity may be deccreased by a Polycythemia O b All answers are correct Anemia Od Dehydration

Which of the following depolarizes next after the AV node O a Bundle of His O b SA node O c Right and left bundle branches O d Purkinje fibers