Questions

urces Implicit Differentiaion Related Rates Course Packet on computing elasticity of demand using implicit differentiation The demand function for a certain brand of compact discs is given by p 4x 2x 45 where p is the wholesale unit price in dollars and x is the quantity demanded each week measured in units of a thousand a Compute the price p when x 3 Price p 3 b Use implicit differentiation to compute the rate of change of demand with respect to price p when x 3 Do not round your answer Rate of change of demand x dollars 26 thousands of units per dollar c Compute the elasticity of demand when x 3 Do not round your answer Elasticity of Demand 26

Suppose a stone is thrown vertically upward from the edge of a cliff on Earth with an initial velocity of 14 7 m s from a height of 88 2 m above the ground The height in meters of the stone the ground t seconds after it is thrown is s t 4 912 14 71 88 2 a Determine the velocity v of the stone after t seconds b When does the stone reach its highest point c What is the height of the stone at the highest point d When does the stone strike the ground e With what velocity does the stone strike the ground f On what intervals is the speed increasing

Implicit Differentiaion Related Rates Course Packe Let 6x 5y dy xy x Compute at 6 0 dx

Let xy 7x y 31 Compute at 5 1

Communicate Communication is a strong suit in our relationship primarily because my friend employs informational language that is open and non judgmental An example of this would be when I was contemplating a career change Rather than dictating what she thought was best she presented me with questions and information that helped me reflect on my desires and make an informed decision This approach respected my autonomy while also providing the guidance I needed

The table on the right gives the popular and electoral votes for the three major candidates for a presidential election The total popular vote count is shown All electoral votes are also shown Complete parts a through d Candidate ABUT C Total popular vote a Compute each candidate s percentage of the total popular vote Which candidate won a plurality Did any candidate win a majority Candidate A received of the total popular vote Round to two decimal places as needed Electoral Popular Votes Votes 6 005 876 440 89 4 206 828 12 3 004 371 13 217 075

uestion 15 Which of the following is not associated with prions O Replicating shapes Mad cow disease DNA O Toxic proteins

dy xp 11 0 W

Question 17 Which one is normal prion protein O PrPc PrPsc

11

y 4 cos x 5ex dy dx

Use the Quotient Rule to evaluate and simplify x 1 dx 6x 5 0 X 1 dx 6x 5

stion 16 On a phylogenetic tree which term refers to lineages that diverged from the same place O sister taxa

E h x h x 2x 9 x 1

In the chapter review the figure on the limitation of the phylogenetic tree which evolved

Question 6 Which statement is true of viroids O They are single stranded RNA particles O They reproduce only outside of the cell They produce proteins They affect both plants and animals

Question 5 A bacteriophage can infect O the lungs O viruses O prions O bacteria

Question 3 Tor F The capsomere is made up of small protein subunits called capsids O True O False

Resources My friend significantly nurtures my inner motivational resources by actively encouraging my interests and pursuits For instance knowing my passion for writing she frequently sends me prompts and reading materials related to genres I enjoy This not only shows her support for my interests but also boosts my competence and autonomy making me feel valued and understood

4 Acknowledges and Accepts Expressions of Negative Affect as Okay One of the most supportive aspects of our friendship is the space we give each other to express negative emotions without fear of judgment For example during a particularly stressful period I found myself frequently venting my frustrations Rather than dismissing my feelings or offering unsolicited advice she listened and acknowledged that it was okay to feel overwhelmed This acceptance made me feel supported and understood reinforcing the trust and closeness in our relationship

In Springville the probability that a football team goes to the city playoffs is 0 25 The probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0 40 What is the probability that a randomly selected team from Springville goes to the city and state playoffs A 0 10 OB 0 15 OC 0 65 D 0 20

The next few questions refer to the pedigree below The pedigree illustrates the inheritance of a rare disease in humans Small numbers above selected shapes indicate specific individuals First what is the phenotype of individual 1 DO female with the disease O male without the disease male with the disease O female without the disease motion to answer this question 3 4 Ho

Use an identity to write the expression as a single trigonometric function value or as a single number 1 1 sin 62 9 6

A computer randomly puts a point inside the rectangle What is the probability that the point does not land in triangle T 6 T 2 O A 4 O C 778 OB 1 3 23 8 4 S

Paisley found the following measures for the dimensions of her store 17 ft 24 ft How many square feet of carpet will Paisley need for her store O 459 square feet O 648 square feet O 41 square feet 27 ft O 408 square feet

Paisley has decided to buy new carpet to redecorate her parallelogram shaped store What information will she need in order to figure out how much carpet she will need

Which of these organisms has the longest generation time sometimes referred to as life cycle O Drosophila melanogaster O Neurospora crassa O Mus musculus O Arabidopsis thaliana Saccharomyces cerevisiae

At a competition with 5 runners medals are awarded for first second and third places Each of the 3 medals is different How many ways are there to award the medals Decide if this is a permutation or a combination and find the number of ways to award the medals OA Permutation number of ways 60 OB Combination number of ways 60 C Permutation number of ways 10 D Combination number of ways 10

8 Find the value of x in the figure below Lesson 15 4 0 5 point 21 14 27 9 In the circle mBC B E x 38 and mAD 146 What is mzAED Lesson 15 5 1 point 10 Answer the following about the given circle Lesson 15 4 15 5 a If mQR 80 and mQS 150 what is m P 0 5 point

What if Paisley s store was a rectangle with the same dimensions How would that change the amount of carpet she needs O The amount of carpet she would need would increase O The amount of carpet she would need would decrease O The amount of carpet she would need would stay the same

Determine if the area bounded above by the function f x in the first quadrant is e 2x X e 9 finite or infinite If the area is finite find the area Select the correct answer below O Infinite 1 O tan 1 9 OT 12 tan 1 3

Let event A You buy a new umbrella on Friday Which event is most likely to be independent of A A You had a math test on Thursday B You visited the school lost and found on Thursday afternoon C It rained on Thursday D The weather forecast says it will rain on Saturday

K Complete parts a through d below a Of the 100 senators in the U S Senate 65 favor a new bill on health care reform The opposing senators start a filibuster Is the bill likely to pass Yes it is likely the bill will pass because those in favor have the needed 3 5 majority to end the filibuster b A criminal conviction in a particular state requires a vote by 3 5 of the jury members On an 9 member jury 6 jurors vote to convict Will the defendant be convicted Yes the defendant will convicted because those voting to convict the required 3 5 of the jury c A proposed on the amendr U S Constitution has passed both the House and the Senate with more than the required 2 3 super majority Each state holds a vote res a majority vote in all but 18 of the 50 states Is the Constitution amended amended because the amendment doesn t have the approval of the needed 3 4 majority of the states port of 73 out of 100 senators and 262 out of 435 members of the House of Representatives The President promises e law No the Con d A tax increas it is passed Is Yes the bill is is is not be likely to become law because it have the needed super majority in veto the bill

The height of a parallelogram must be O parallel to O the same length as Operpendicular to O longer than its base

What is the formula for the area of a parallelogram 04 bh OA bh OV lwh OV lwh

Kellie randomly chooses a number from 1 to 10 What is the probability she chooses a number less than 3 A B C D 415 3 10 15 219

Graph the Function cot 3x 5 3 y To draw the graph plot two consecutive asymptotes ar points between those two asymptotes Then click on th

S 70 T U 220 V 19 from your textbook on separate lined paper blems for solutions at the back of the textbook

1 point Give an example of an infinite non Abelian group Prove your example is non Abelian

1 A circular swimming pool has a diameter of 20 feet To the nearest square foot what is the smallest amount of material needed to cover the area of the surface of the pool Use 3 14 for T

If A 1261 find r given that g x y r y 1 2 A dN 0 003N t 0 003 A N t dt

For 13 14 give your answer in two forms 1 in terms of rr and 2 using 3 141 the nearest tenth 13 Find the arc length of AB Lesson 16 2 1 point 80 7 in 285 B 14 Find the sector area of the figure below Lesson 16 3 1 point 10 m

arning Goal from Lesson 16 1 16 2 and 16 3 can determine the relationship between an arc intercepted by an angle and the radius can determine arc length and describe radian measure in terms of proportionality I can determine and apply the formula for the area of a sector 11 The diameter and center of circle C are shown Use 3 14 for 7 Round to the nearest a What is the circumference of circle C 0 5 point b What is the area of circle C 0 5 point How I Did Circle one a 50 12 Convert the following degrees into radians Leave your answer in terms of Lesson 16 2 0 5 point each b 125 I got it I m still learning it 18 in

What is the probability that out of 60 lambs born on BaaBaa Farm at least 31 will be male Assume that males and females are equally probable and round your answer to the nearest tenth of a percent OA 25 9 OB 4 6 O C 44 9 D 12 3

Which pizza is the better buy Explain in words and calculate the cost per square inch of pizza to jus decision 1 point

you have completed the above problems and checked your solutions complete the Lesson Checkpoint below Complete the Lesson Reflection above by circling your current understanding of the Learning Goal 1 Find the area of each sector Give your answer in two forms 1 in terms of 7 and 2 using 3 14 for it Round all answers to the nearest tenth 270 15 mi 2 Find the area of each sector Give your answer in two forms 1 in terms of and 2 using 3 14 for I Round all answers to the nearest tenth 90 13 in

Lesson 16 2 Homework HW Complete problems 1 8 below for independent practice For 1 6 leave your answer in terms of 1 Convert 120 into a radian measure When you are finished check the solutions in the back of the textbook 3 Convert 45 into a radian measure 5 Convert 5 into a radian measure 10 yd 7 Find the arc length Round to the nearest tenth 90 2 Convert 90 into a radian measure For 7 8 use 3 14 for T Round to the nearest tenth 4 Convert 20 into a radian measure 6 Convert 300 into a radian measure 8 Find the arc length Round to the nearest tenth 5 m 60 Optional Complete problems 5 7 13 15 21 22 from your textbook on separate lined paper for extra practice

Let the matrix of L R R2 with respect to the basis 1 0 be S 2 3 Find the matrix of L with respect to the natural basis for P3

the area of each sector Give your answer in two forms 1 in terms of and 2 using 3 14 for To the nearest square foot what is the area watered in Example 2 as the sprinkler rotates through a semic

Lesson 16 2 Checkpoint Once you have completed the above problems and checked your solutions compl below Complete the Lesson Reflection above by circling your current understanding of t For 1 2 use 3 14 for mr Round to the nearest tenth 1 Find the arc length of minor arc AB 3 in 120 B LABC is a central angle in a circle with center B The length of the radius is 13 km and mzABC 45 What is the length of minor arc AC hint create your own diagram