Questions

4 Find an equation of the line through the first quadrant that cuts off the least area from the first quadrant

h FF h T V F H VE T 3m h 5 m r 6m h 7m 12 m H v

Write the slope intercept form of the equation of 3 15 through 4 1 parallel to y x 4 17 through 2 5 parallel to y x 3 3 19 through 3 3 perp to y x 2 8 21 through 1 3 perp to y x 16 through 4 5 parallel to y x 4 18 through 4 4 parallel to y 3 3 20 through 0 4 perp to y x 1 2 22 through 2 4 perp to y x 5

Graph each linear equation A y 2x 1 B y 3x 2 34 S A

How many square yards of carpet are needed to cover the floor of a rectangular room 18 feet by 9 feet A

One side of a 120 square foot rectangular room is 15 feet long How long is the other side Submit All Parts yd yd ft vd

A ladybug crawls around the outside of a rectangle that measures 16 cm by 18 cm The ladybug stays exactly 1 cm from the rectangle at all times to form a larger figure How far does the ladybug crawl in one trip around the figure What is the area of the new rectangle bound by the path of the bug cm in cm

Using the U S unit conversions that you memorized fill in the following Integers or reduced fractions no decimal approximations or mixed numbers If a conversion is not possible enter DNE a 42 miles b 9 yards c 144 inches d 48 feet e 80 miles inches inches yards yards feet

Angles can be classified by their degree measure Fill in the blanks with the appropriate degree measure for each of the following Use integer values for your responses a The measure of an obtuse angle is between degrees Non inclusive smallest to largest degrees b The measure of a right angle is c The measure of an acute angle is between degrees Non inclusive smallest to largest degrees and degrees and

Find the circumference and area of the given figure in terms of using the correct unit of measure Circumference Give your answer in terms of Area Give your answer in terms of 8 cm Select an at Select an answer Select an answer cm cm m cm a m m

calculator to give the real number value of y cot 0 096 Round to the nearest hundredth

Find the exact value of the following real number y Do not use a calculator y csc 2 Type an exact answer using as needed Use integers or fractions for any numbers in the expression

Find the exact value in radians of the expression cot 3 cot 3 Type an exact answer using as needed Use integers or fractions for a numbers in the expression

Find the exact value of the expression arccos 1 arccos 1 Type an exact answer using as needed

if x 4 cx Let f x 10 dx if x 4 Find c d so that f x is continuous for all x d C

Let f x lim h 0 To find f x which of the following limits must be evaluated lim h 0 1 lim h 0 x f h f 0 h 1 x f x h f x h derivative cannot be found using a limit

Exercise 3 Questions Question 1 How are karyotypes used to screen for genetic disease E E T T B I U I 0 10000

Let f x x To find f x which of the following limits must be evaluated o lim h 0 OT lim h 0 CLO f h f 0 h f x h f x h lim 2x h 0 The derivative cannot be found using a limit f x h f x 1 2 2hx h OF Expand a

If y t 6t 2 5t 3 find dy dt dy dt

Suppose f x and f x have the values shown X f x 2 f x 8 Let g x 20 21 g 21 22 23 3 5 20 4 2 4 1 f x 24 10 0 Cannot Be Determined

You have collected the following d dx n 2 1 1 2 83 2 AC AC X2 Predict Predict 1 Predict d dx 2x 1x7 1 xn 2 X 2 x d dx d x

Suppose f x 6x 7 Find f x in two ways First expand f x f x orm of Fl

48 Consider this function defined for every x 1 where In indicates the natural logarithm Which of these is an expression for its inverse function y f x 2in x 2in x 1 ev 2 A B 1 8 2 ez C 1 D 2 1 1 y 0 Y 0 y 1

Find the derivative of 2x6 9x 9x 5 d dx 2x6 9x 9x 5

Complete the table n 2 1 xn X 2 x x d xn dx 1

6 Araucaria is a conifer the specimen is young eventually it will be tree sized Araucaria appeared in the Early Mesozoic looking essentially the same as it does today Metasequoia is a conifer from the Tertiary Conifers were the among the dominant plants in the Mesozoic but have since decreased in abundance in many regions of the world Are Conifers more closely related to Progymnosperms or Cycads

Write Name Date Period Show all work including labeled triangles in the unit circle showing direction 1 Graph y tan x 3TT 2 T TT 2 y 3 2 0 1 2 3 TT 2 TT 3TT 2 X

What are the domain and range of the function f x 327 Domain 0 0 U 0 O Range 0 U 0 Domain 0 U 0 O Range 0 0 Domain O Range 0 0 Domain 0 U 0 O Range 0 0

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 convic convicted because those voting to convict the required 3 5 of the jury the defendant will No

The graph of y tan br has vertical asymptotes at x 6 x 5 6 x 2 x 5T Find the value of b

10 Use the unit circle to explain why the graph of y tan is increasing for 0 0 2

A tangent function of the form y tan be has no vertical asymptotes for 2 x 2 Find a possible value of b

What are the equations of the asymptotes of the graph of f x 1 11 Select each correct answer Ox 1 OX 1 Oy 11 Oy 11

T and a 9 Geraldine and Miranda were asked to write an equation of a cotangent function with an x intercept at x vertical asymptote at x Geraldine said there was more than one correct answer Miranda said there was only one correct answer Who is correct Explain your answer 4

2 Find the period of y cot 2

4 Let f 0 tan and g 0 cot 0 Which of the following statements is true A If f 0 0 g 0 0 B If f 0 0 g 0 0 C f 0 g 0 when 0 F D f 0 g 0 0 for all 0

7 Graph y cot x 3TT 2 TT y 34 N TT 2 0 2 TT 2 TT 3TT 2 X

Solve the linear programming problem z 5x 5y 7x 6y 133 18x 7y 185 Maximize subject to x y 45 x 0 y20

Write the equation of a tangent function with a period of 3r and a vertical shift up 4 units

Which graph represents the function f x 2 12 4 3 2 5 4 3 2 1 O 2 3 31 3 2 10 2 3 2 3 4 5 5 4 3 21 12345 O 15 2 5 4 3 2 1 2 3 34 4 3 2 1 2 3 4 5 2 X 5 4 3 2 1 1 2 3 4 5

Which graph represents the function f x 3 O y 3 O 8 7 6 1 31 11 b T 29 654 3 x 1 4 w N f x A 24 f x 3 4 5 7 6 5 4 3 5 4 3 2 x 1 y 3 f x 2 4 5 16 f x 345

The graph of y f x solid and its tangent line at 5 3 dashed is shown 10 9 8 87 6 5 4 32 1 10 9 8 7 6 5 4 3 2 1 7 2345 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10

1 3 Graph each equation 1 y x 5 2 3 y x 4 1 5 5 y x x 3 2 77 y x x 6 4 6 2 y x 1 2 4 y x 2x 3 6 y 3x 2 Identify the vertex and axis of symmetry of each Then sketch the graph 8 y x 6 x 2 8

3 4 cm ekil 3 ekil 1 ekil 2 Kenar uzunlu u 5a cm olan kare eklindeki bir ka t nce ekil 1 deki gibi yatay do rultuda daha sonra ekil 2 del gibi dikey do rultuda olacak ekilde ortadan ikiye katlanm t r Son olarak bu ka ttan ekil 3 teki gibi bir kenar uzunlu u 4 cm olan kare eklindeki bir par a kesilerek kar lm ve geriye kalan k s m katlama yerlerinden tekrar a lm t r Buna g re son durumda bu ka d n santimetrekare cinsinden bir y z n n alan na kar l k gelen cebirsel ifade a a dakilerden hangisi ile zde tir A 25a 16 B 25a 64 C 25a 16 D 25a 64

7 Cycas a cycad is another seed plant that was very common in the Mesozoic Describe very briefly the foliage of both Cycas and Araucaria X Although there were softer plants living at the time e g ferns the abundance of the above two plants and their close relatives dictates that herbivorous dinosaurs must have been eating them ouch

Graph each equation 1 1 y x 5 2 3 3 y x 4 1 5 5 y x x 3 2 7 7 y x x 6 4 6 2 y x 1 2 4 y x 2x 3 6 9 4 Identify the vertex and axis of symmetry of each Then sketch the graph 8 y x 6 x 2 8

3 Equisetum Calamites and Annularia are members of the Sphenopsids They have a unique anatomy stellar organization meaning they are composed of bundles of tissue arranged in a circle see figure below They also display jointing in the stems very obvious in Equisetum Sketch Calamites a Carboniferous sphenopsid some of which reached over 10 meters in height and identify on your sketch the bundles of tissue and if you can find it a characteristic joint where the tissue bundles pinch out and then expand

and their close relatives dictates that herbivorous dinosaurs must have been eating 8 Angiosperms are more commonly known as the flowering plants and include most of the plants that you are probably familiar with minus the conifers and the ferns Examples include any plant trees included with a flower plus grasses and many shrubs From your notes describe why double fertilization with respect to seed development is a major advantage over the way that conifers produce seeds

5 Archaeopteris This Late Paleozoic specimen foliage only and its near relatives collectively called the Progymnosperms represent close relatives of the seed plants although they themselves unfortunately lacked the seed habit What are two great advantages that seed plants have compared to Progymnosperms and other plants that lack seeds 1

Solve 3x 5 9 Ox 3 x 2 Ox 7 x 8