Questions

Use the Squeeze Theorem to find the limit of a sequence Question Find the limit as n of the following sequence 3 tan n n an n

5x 6 line a Li are paralle 8x 7 16x 8 Find x

Some donkeys are yellow Therefore some bats are donkeys Which of the following shows the correct Euler circles AND the correct determination of Valid Invalid VALID INVALID bats donkeys bats donkeys INVALID yellow VALID yellow a bats donkeys bats donkeys yellow yellow

Given the three simple statements p The bird is orange q The dog is red r The pig is tan Write the symbolic form for the following compound statement The bird is orange if and only if the pig is not tan or the dog is red O p r 9 O p r q Op r Vq O p r q O p r q Op rva Oq pV r O p r q O p r g O p r 9 None of these

Select the negation of All lions are blue or no cats are brown O Some lions are not blue or all cats are brown O All lions are not blue or some cats are brown O Some lions are not blue or some cats are brown O No lions are blue and all cats are brown No lions are blue or all cats are brown O Some lions are not blue and some cats are brown O All lions are not blue and some cats are brown O Some lions are not blue and all cats are brown O None of these

Next Which of the following is the negation of the given statement O Some horses are cuddly O All horses are cuddly O Some horses are not cuddly O No horses are cuddly No horses are cuddly

Select the negation of If some pigs are not yellow then no cows are red O All pigs are yellow or no cows are red O Some pigs are not yellow or some cows are red OIf some pigs are yellow then some cows are red OIf some pigs are yellow then all cows are red OIf some cows are red then all pigs are yellow O Some pigs are not yellow and some cows are red OIf all pigs are yellow then some cows are red O If no cows are red then some pigs are not yellow None of these

Select the contrapositive of If the dog is blue then the cat is pink O If the dog is blue then the cat is not pink O The dog is blue or the cat is not pink O The dog is not blue and the cat is pink O The dog is blue and the cat is not pink O If the cat is pink then the dog is blue OIf the dog is not blue then the cat is not pink O The dog is not blue if and only if the cat is not pink O If the cat is not pink then the dog is not blue O The dog is not blue or the cat is pink O The dog is not blue or the cat is not pink O None of these

Therefore all whales are hairy Which of the following shows the correct Euler circles AND the correct determination of Valid Invalid INVALID hairy tan INVALID tan whales hairy whales VALID hairy O tan whales O VALID hairy whales tan

Suppose we have the following argument All horses are blue Shane is a horse Therefore Shane is blue Which of the following shows the correct Euler circles AND the correct determination of Valid Invalid VALID blue horses Shane VALID horses blue Shane INVALID horses blue Shane a INVALID blue horses a Shane a

1 Consider the linear transformation T R3 R3 given by 21 22 2x3 T 3x2 6x3 3x12x2 4x3 a Find a basis for the subspace that consists of all ER such that T 0 Is T injective b Find a basis for the image of T Is T surjective

Select the converse of If the dog is blue then the cat is pink O If the dog is not blue then the cat is not pink OIf the cat is pink then the dog is blue O The dog is blue and the cat is not pink O The dog is not blue if and only if the cat is not pink O The dog is not blue or the cat is not pink O If the dog is blue then the cat is not pink O The dog is blue or the cat is not pink If the cat is not pink then the dog is blue O The dog is not blue or the cat is pink O The dog is not blue and the cat is pink O None of these

Select the two statements that are equivalent to the following statement If the snake is blue then the whale is tan If the whale is not tan then the snake is not blue The snake is blue or the whale is not tan If the whale is not tan then the snake is blue The snake is blue if and only if the whale is tan The snake is blue and the whale is not tan The snake is not blue and the whale is tan If the snake is not blue then the whale is not tan The snake is not blue or the whale is tan If the snake is blue then the whale is not tan None of these

Select the negation of Some elephants are not prickly O No elephants are prickly O All elephants are prickly O Some elephants are prickly O Some elephants are not prickly O None of these

Select the negation of If the dog is blue then the cat is pink O The dog is blue and the cat is pink OIf the dog is not blue then the cat is not pink O The dog is blue or the cat is not pink O The dog is not blue if and only if the cat is not pink O If the dog is blue then the cat is not pink O The dog is blue and the cat is not pink O The dog is not blue or the cat is pink O None of these

What type of impact from humans does this photo show that relates to the high extinction rate that we see today O climate change O pollution O invasive species O over harvesting habitat destruction

Given the three simple statements p The pig is purple q The monkey is green r The cow is white Write the symbolic form for the following compound statement If the pig is not purple and the cow is white then the monkey is not green O p r q Op r q O p r q O p r q Oq pv r p r 9 O p r q O p r O pr q q

The amniotic egg provides what kind of advantage for the Amniotes O protects the eggs from UV radiation O protects the egg from desiccation O protects the egg and developing embryo from predator attack

e sales S in millions of dollars for a coffee shop from 1996 through 2005 can be modeled by the exponential function s t 184 36 1 266 where t is the time in years with t 6 corresponding to 1996 Use the model to estimate the sales in the years 2007 and 18 Round your answers to one decimal place a 2007 million b 2018 million

Select the inverse of the given statement If the dog is blue then the cat is pink OIf the dog is blue then the cat is not pink O The dog is blue if and only if the cat is pink OIf the cat is not pink then the dog is not blue OIf the cat is not pink then the dog is blue O The dog is not blue or the cat is pink O The dog is blue and the cat is not pink O The dog is not blue and the cat is pink O The dog is blue or the cat is not pink OIf the dog is not blue then the cat is not pink O None of these

Which of the following is the negation of the given statement O Some horses are purple O Some horses are not purple O All horses are not purple O No horses are purple O None of these All horses are purple

Question Considering the sequences below determine which are bounded Select all such sequences Select all that apply 5 8n 15

2 Consider the following general 3 3 matrix a b A d e f ghi a Let B be the matrix obtained from A by switching row 2 and row 3 Show via an expli calculation that det A det B b Let C be the matrix obtained from A by replacing R3 row 3 with R3 t R1 row 3 plus t tim row 1 for some scalar t Show via an explicit calculation that det A det C hint expand along its third row

0 Agent Doris is about to change her name due to her marriage What must Agent Doris do a She does not have to do anything because she is changing only her legal name everything else is the same b Email or fax the Division of Real Estate a change of name card c Phone the Division of Real Estate and ask it to change her information d Go to the Real Estate License Management System RELMS section of the Division of Real Estate website and make the change ther

A helicopter is flying at an altitude of 222 meters at an angle of depression of 43 to its landing pad What is the distance d between the helicopter and the landing pad Round your answer to the nearest whole number 43 222m Landing Padi

Question Considering the sequences below determine which are bounded Select all such sequences Select all that apply 9 15n 1

Solve the following Write all irrational and complex answers in simplest form 1 9d2 8 41 2 2y 12 14y 3 2 14v 97 0 4 5r2 2r 1 0

2x3 x x 1 5 2 Match the Graphs to Their Equations You ll have 4 pairs of cards f x 2x x x 1 f x 2x x x 1 f x 2x x2 x 1

CURRENT OBJECTIVE Determine if a continuous function defined on a convergent sequence converges and if so finds its limit Question If the following sequence converges find its limit If the sequence diverges enter 2 T 7 COS 3 n5 7

blem 2 Complete the missing key features and graph the polynomial TT VE S Function in factored form Function in standard form End Behavior As x co f x TT VE 10 As xo f x 10 5 0 Roots include multiplicity 2 1 multiplicity 2 Value of Leading Coefficient 2 Degree 3

EVEN degree polynomials Match the Equations and Statements You ll have 2 stacks of 3 cards f x 6x x 10x ODD degree polynomials f x 3x 6x 7x2 ends of the on face the same on The ends of the function face opposite directions

roblem 1 Complete the missing key features and graph the polynomial TT VE X Function f x 2 x 1 x 3 End Behavior As x co f x As xco f x Roots include multiplicity Value of Leading Coefficient Domain TT VE 10 10 0

Determine if a sequence converges and if so find its limit Question Determine whether the following sequence converges and if so find its limit If the sequence diverges enter Provide your answer below 5 4 n3

AL Function VE End Behavior As x co f x Asx f x Roots include multiplicity Value of Leading Coefficient 1 Domain Range Other f 0 16 Missing key features of the polynomial 40 40 y 20 20 5 0 5

Essay The second figure shows a Mesozoic Tetrapod Didelphodon The third shows a partial jaw of Didelphodon Pretend that you found these Wow an entire skeleton congratulations That s an extremely rare find Individual teeth and bits of bone are more common In your essay address the following topics Also find images that support the main evolutionary novelties that you discuss and paste them into your discussion You can use this list as an outline Enlarge the images as necessary to see details Locomotion What are three important novelties related to locomotion that you can clearly see in Didelphodon relative to Ichthyostega How do they differ from the anatomy of Ichthyostega How do they improve locomotion exactly Food processing What is one novelty related to food processing that you can clearly see in Didelphodon relative to Ichthyostega How does it improve food processing and energy management Phylogeny Draw a phylogeny that inlcudes these two organisms Label it with the major groups that these creatures belong to and where the novelties you discussed above originated There should be other branches besides just two for these organisms since Didelphodon is nested much higher in the Tetrapod tree than Ichthyostega Behavior Bevaior itself can t fossilize easily But you can make a guess about how Didelphodon may have behaved based on anatomy Clearly referencing the features you discussed above as evidence hypothesize a little about the behavior of Didelphodon

CURRENT OBJECTIVE Determine if a sequence converges and if so find its limit Question Does the following sequence converge If so find its limit If it diverges enter 2

4 As the function goes the right as x goes to infinity the function goes to the function goes 2 4 2 0 2 4 2 up to infinity down to negative infinity

f x 2x 6x 5x 1 f x 2x 6x 5x 3 x3 2x 1 Match the Graphs to Their Equations You ll have 4 pairs of cards f x x4 5x 5

4 4 2 0 2 4 2 As the function goes the left as x goes to negative infinity the function goes the function goes to up to infinity down to negative infinity

5 Q R Z 4 Y X 105 P

13 In 10 15 Find the measure of the numbered angles in each Kite 10 1 2 22 11 45 12 1 54 90 1 2 2

In 1 6 For each Isosceles Trapezoid find the measure of each interior an 1 2 77

6 B 60 C

13 64 1 3 14 50 13

Suppose that the functions and g are defined for all real numbers x as follows f x 4x 4 g x x 6 Write the expressions for f g x and g x and evaluate f g 2 S 8 x 1 8 x X 1 8 2

A tip in a restaurant has been typically figured at 15 of the total bill Complete parts a through c a If the bill is 52 what would be the typical tip The typical tip would be Round to the nearest cent as needed

The quantity z varies directly with y and inversely with x When y 8 and x 4 z 1 What is the value of k the constant of variation Write your answer in the form A or where A and B are constants or variable expressions

ht 3

The mortgage company requires a 14 down payment on houses it finances If the Sumis bought a house for 114 000 how much down payment did they have to make The Sumis had to make a down payment of

3 4 5 6 7 8 9 10 A 11 12 10 IF f x 3x 11 and 9 x x 7 find go f 6 Type a response D