Questions

Graph each of the following over the given interval Label the axes so that the amplitude and period are easy to read 23 y 2 sin x 4 x 4 25 y 3 sin 2x x 2 24 y 3 os x 2 x 4 26 y 3 sin 2x 2n x 2

Suppose the population of a city can be modeled by P t It is the number of years since 2000 A function giving the fraction of college graduates is R t In 2014 the fraction of college graduates in the city is increasing decreasing H at a rate of places Meanwhile the number of college graduates in the city can be modeled by D t 105 85t where t is the number of years since 2000 0 09t 2680e persons where per year round your answer to 3 decimal

Graph one complete cycle for each of the following In each case label the axes so that the amplitude and period are easy to read 13 y 4 sin 2x 14 y 2 sin 4x

Solve the following system of equations graphically Ull Answer of a Solution V 22 6 3x y 1 Plot two lines by clicking the graph Click a line to delete it

Question Solve the system by substitution Answer of 7z y 30 2z 5 y

Graph one complete cycle of each of the following In each case label the axes accurately and identify the amplitude and period for each graph 1 y 6 sin x 2 y 6 cos x 3 y sin 2x 1 cos COS X 5 y 7 y sin x sin 9 y os x T 11 y cos x 4 y sin x 6 y cos 3x 8 y co COS X 10 y sin nx TL 12 y sin x

agglutination Anti A Anti B Anti D Blood Type Anti A Anti B Anti D Blood Type Determine the Blood Type Anti A Anti B Anti D Blood Type Anti A Anti B Anti D Blood Type agglutination

Suppose f x and f x have the values shown 4 5 6 7 10 4 5 f x 2 8 6 5 C 42 Let g x f x 83 7

Suppose f g have the following values 3 f 6 e and g 6 4 f 6 8 and g 6 9 Let y5 ln f x y g x 6 Find y at 6 1 y at 6 1 is

Suppose a manufacturer knows from previous data that 1 5 of one type of lightbulb are defective The quality control inspector randomly selects bulbs until a defective one is found Is this a binomial experiment Why or why not OA No because the trials are not independent OB Yes because the situation satisfies all four conditions for a binomial experiment O C No because each trial cannot be classified as a success or failure OD No because the number of trials is not fixed

4 Let f x 2x 4x 5 Find the equation of the line tangent to the graph of y f x at the point 2 11 The equation of the tangent line is Y

Find the following lim h 0 sin 2 h sin 2 h lim h 0 d sin x h sin x h sin x cos 2 cos x 0 04

Suppose f 2 3 and f 2 8 Find the following dx ef x 3x2 x 2 www d da at x 2 is 2 f x ln 3x x 2 at x 2 is

An equation for the line tangent to the graph of y x 3x 2 at 5 42 is

Suppose f 4 10 f 4 10 Approximate f 3 98 f 3 98 places enter your answer rounded to two decin

Question Evaluate f x 4x 7 x 6x 5 dx Provide your answer below

Rewrite in terms of sine and cosine tan x sin x cos x tan x Using the quotient rule DO NOT simplify your answer Or

According to the table below what is the probability random will be 16 or older Age 13 14 15 16 17 18 Probability 0 01 0 28 0 30 0 25 0 15 0 01 A 0 41 OB 0 44 OC 0 46 D 0 83

cos x B d sin sin x sin 2 1 sin x sin 2 Type pi to enter TT

The wholesale price p of e tablet writing styluses in dollars is related to the supply x in thousands of units by 400p x 1596 If 2 000 styluses are available at the beginning of a week and the price is falling at 8 cents per week then supply is Orising O falling at a rate of 1600 32 X styluses per week

Question Evaluate f 2z 1 z x 6 da

Graph h x 2 sin 2x 3 Use 3 14 for T Use the sine tool to graph the function The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point Move 4 71 Sine 3 14 1 57 7 6 5 4 Undo 3 2 1 0 1 2 3 4 n x 1 57 Redo 3 14 x Reset 4 71 X

According to the table below what is the probability that the grade of a student chosen at random will be a B or higher O A 47 O B 7 217 D 3 O C 17 1 7 A Grade Probability 6 B C D F 4 12 9 4 35 35 35 35 35

A school knows that 11 of its students are left handed What is the probability that there will be between 33 and 45 left handed students in a randomly selected group of 400 Use your calculator and this formula Plas x b binomcdf n p b binomcdf n p a 1 Round your answer to three decimal places OA 0 602 OB 0 043 OC 0 029 OD 0 573

Let 4x y 3y 8 Compute dy dx 12x 2y 3 Submit Answer X dy dx ket on in

The circle is centered on point P Points T U and V lie on the circumference LTVU measures 37 Find the measure of TPU T 37 P

Which graph represents f x 2 cos 4x O 2 2 MM M 15 0 5 2 1 5 3 2 1 www 0 1 5 0 5 1 5 21

APS ST

45 6

y C47 Solve the following system of equations graphically on the set of uses below y x 5 2x y 7 P Click t the graph

What is C O A 66 OB 55 OC 36 D 45

Question Solve the system by substitution Answer l y 3z 50 y 2z

6 10 in Y 133 17 in Z

Solve the system of equations graphed on the coordinate axes below 3 y 72 7 y 3 4x 7 y 34 7 y 3 4 7

Find the derivative of f x 25x 2

20 279 Round answers to nearest whole number

Which statement displays the US foreign policy of containment during the Cold War launch attacks on the USSR any time they tried to spread communism and have any international influence stop the spread of Communism by increasing US presence around the world and supporting democracy and capitalism only intervene to stop the spread of communism in North Central and South America not getting involved in any other regions in the world challenge any communist actions in a worldwide court

Question Solve the system of equations graphed on the coordinate axes below 2 y 3z 6 y 3x 6 2 3x 6 y 3x 6

Anthony surveys a group of students at his school about whether they play a sport This table shows the results broken down by gender Boys Girls Total Play a sport 114 63 177 Do not play a sport 61 67 128 Total 175 150 325 Are being a girl and playing a sport independent events Why or why not OA Yes they are independent because P girl 0 46 and P girl plays a sport 0 54 OB No they are not independent because P girl 0 46 and P girl plays a sport 0 54 OC Yes they are independent because P girl 0 46 and P girl plays a sport 0 36 D No they are not independent because P girl 0 46 and P girl plays a sport 0 36

R S 45 cm 22 45 cm T

The dramatic increase for funding in math and science education in the US came about primarily because of the domino theory the outcome of the Korean War the US being the first nation to reach the moon O the Soviet launch of Sputnik 1

Which statement highlights a reason Truman signed an executive order integrating the military segregation undercut the US moral stature during Cold War Korean War increased need for more manpower reduce racial tension in military all of these O

What did Eisenhower s National Interstate and Defense Highways Act do government sponsored creation of infrastructure all of these allowed the US military to move troops and supplies more efficiently connected population centers across the US more easily

Which statement best shows how the US response to the Korean War followed the policy of containment all of these supported democratic South Korea against communist backed North Korea supplied weapons but not troops to North Korea as they attempted to overthrow the communist South formed an alliance with China and the USSR to support South Korea

45 6

D 6 5 cm 85 F 11 2 cm E 4 F E 19 4 mm 71 D 15 2 mm

What was the purpose of the Marshall Plan encourage all rebuilding countries to self determine vote for whether they wanted to rebuild as a communist nation or a democratic nation contain communism by supporting weak western European countries economically to create an environment for thriving democracies and free markets create an economic connection with Sub Saharan Africa in an attempt to destabilize the worldwide oil market contain communism by occupying all Western Europe and challenge the USSR directly if they made any attempts to influence the rebuilding of Europe 000

20 X 13 on to the given blank paper 2 Round answers to nearest whole number X 39

Which statement best describes Sputnik 1 first spacecraft to carry a human Yuri Gagarin last of the manned Soviet rockets first US spacecraft put in to orbit O first man made earth satellite launched by the Soviet Union

21 49