Questions

4 Write an equation for the transformed logarithm shown below Your answer should include a vertical scaling and will be in the form f x a log z c 21 5 4 3 2 2 3 1 2 3 f x

3x 7 x 2 1 x 2 1 3X 3X 7 X 2

Find the indefinite integral using substitution for 10z 52 2 10x 272 C 5x 4 C 5 4 10x 5x 4 C

Z sin xy graph

Given f x dr 4 f x dz 6 and 6 and 9 2 de 19 dz dx 3 find the following L1 2 dz 2 135 15 3f x g 2 dr 12g 2 dr 0

A paint manufacturer uses a machine to fill gallon cans with paint 1 gal 128 ounces The manufacturer wants to estimate the mean volume of paint the machine is putting in the cans within 0 7 ounce Assume the population of volumes is normally distributed a Determine the minimum sample size required to construct a 90 confidence interval for the population mean Assume the population standard deviation is 0 80 ounce b The sample mean is 127 ounces With a sample size of 5 a 90 level of confidence and a population standard deviation of 0 80 ounce does it seem possible that the population mean could be exactly 128 ounces Explain Click here to view page 1 of the Standard Normal Table Click here to view page 2 of the Standard Normal Table a The minimum sample size required to construct a 90 confidence interval is cans Round up to the nearest whole number b The 90 confidence interval for a sample size of 5 is mean could be exactly 128 ounces because 128 ounces falls Round to two decimal places as needed seem possible that the population erval does

026x10 atoms O 129 10 atoms 052 10atons 143 10 atn 007 10 atoms 1 pts Question 3

If the vector v has initial point P what is its terminal point v 2 0 2 P 3 0 3

Adipic acid contains 49 32 C 43 84 O and 6 85 H by mass What is the empirical formula C3H502 C3H3O4 O C HO3 OC2H5O4

In the reaction 2Al s 312 s 2All3 s the theoretical yield of the product is 12 g When a student performed this reaction in his lab he could obtain just 3 g of the product Calculate the percent yield 40 25 35 20 30

The balanced equation 2Cu s O2 g 2CuO s tells us that 8 0 mol of Cu O must react with 256 g of O2 O cannot react with oxygen O produces 16 0 mol of CuO O produces 8 0 mol of CuO O reacts with 8 0 mol of O2

For the reaction 2S s 302 g 2503 g how many moles of SO3 can be produced from 6 0 g O2 and excess S O 0 25 mol SO3 O 4 0 mol SO3 O0 13 mol SO3 0 28 mol SO3 none of these

The important document that set the future boundaries of France and Germany was the Treaty of Pepin O Treaty of Verdun O Treaty of Rome O Treaty of Aachen

any inflection points f x 5x 40x3 10 Determine the intervals on which the following functions are concave up or concave dow Select the correct choice and if necessary fill in the answer box es to complete your c OA The function is concave down on Simplify your answers Type your separate answers as needed OB The function is concave up on Simplify your answer Type your answers as needed and concave up on answers in interval notation Use a comma to and the function is never concave down answer in interval notation Use a comma to se OC The function is concave down on and the function is never concave up Simplify your answer Type your answer in interval notation Use a comma to se answers as needed OD The function is never concave up nor concave down

its two other vertices on the semicircle What are maximum area The rectangle with maximum area has base Type exact answers using radicals as needed and height

long division with steps C

all the ar h z 9z10 The antiderivatives of h z 9z 10 are H z

and decreasing and the intervals of concavity Then graph f assuming f 0 0 Find the critical points 5 10 The critical points are x Use a comma to separate answers as needed

If F x x 3x C and F 1 4 then C Simplify your answer

Find all the antiderivatives of the following function Check your work by G t 8

5 550 yenin bulundu u bir dernekte adaylar n yeler ara das nda oldu u ba kanl k se imi i in aday yar m t r Se im i lemi 10 sand kta e it say da yenin oy kullanaca ekilde d zenlenmi tir Oylamadan sonra ilk 6 sand k a ld nda II aday a lan sand klardaki ge erli oylar n 3 10 unu alm ve 6 sand ktan 30 ge ersiz oy km t r uloy T m sa T m sand klar a ld nda II aday ge erli oylar n 5 2 i olan 204 oyu ald na g re son 4 sand ktan I ve III adaylara toplam kan oy say s ka t r A 48 B 72 C 84 D 96 E 105

f x 1 15 x2 any inflection points Determine the intervals on which the given function is concave up or concave down Select the correct choice and if necessary fill in the answer box es to complete your choice OA The function is concave up on and the function is never concave down Simplify your answer Type your answer in interval notation Type an exact answer using radicals as needed Use a comma to separate answers as needed OB The function is concave up on and concave down on Simplify your answers Type your answers in interval notation Type exact answers using radicals as needed Use a comma to separate answers as needed OC The function is concave down on and the function is never concave up Simplify your answer Type your answer in interval notation Type an exact answer using radicals as needed Use a comma to separate answers as needed OD The function is neither concave up nor concave down Locate any inflection points of f Select the correct choice and if necessary fill in the answer box to complete your choice OA The inflection point s is are at x Type an exact answer using radicals as needed Use a comma to separate answers as needed OB There are no inflection points for f

K The graph of g has exactly three x intercepts a For what values of x in 5 4 is the graph of g concave up Concave down b State the inflection points of g that lie in 5 4 54 3 2 1 y g x a Determine the intervals on which the given function is concave up and or concave down Select the correct choice and if necessary fill in the answer box es to complete your cho OA The function is concave down on and the function is never concave up Type your answer in interval notation Use a comma to separate answers as needed OB The function is concave up on and the function is never concave down Type your answer in interval notation Use a comma to separate answers as needed OC The function is concave up on and concave down on Type your answers in interval notation Use a comma to separate answers as needed OD The function is never concave up nor concave down b Locate any inflection points of g Select the correct choice and if necessary fill in the answer box to complete your choice OA An inflection point occurs at x Type an exact answer Use a comma to separate answers as needed OB There are no inflection points for g

Suppose an airline policy states that all baggage must be box shaped with a sum of length width and height not exceeding 132 in What are the dimensions and volume of a square based box with the greatest volume under these conditions The length of the square end edge is The box height is in Simplify your answers The greatest volume of the box is Simplify your answer in 3 in

Use the given graph of f to sketch the graph of f 1 y 2 1 1 2 3 4 2 3 4 X

A function is given by a table of values Determine whether it is one to one X 1 2 3 4 5 6 f x 17 17 7 19 1 20 9 18 5 17 7 Yes it is one to one No it is not one to one

A function is given by a graph Determine whether it is one to one Yes NO

On April 5 2022 Janeen Camoct took out an 10 25 loan for 31 000 The loan is due March 9 2023 Janeen s terms are ordinary interest Sabrina Bowers took out the same loan as Janeen Sabrina s terms however are exact interest Ignore leap year Use Days in a year table a What is Sabrina s difference in interest Note Do not round intermediate calculations Round your answer to the nearest cent Difference Answer is not complete b What will Sabrina pay on March 9 2023 Note Do not round intermediate calculations Round your answer to the nearest cent

Choose the graph that goes from concave up to concave down as x increases O A B Choose the phrase that best describes the behavior of the second derivative of the function A The second derivative changes from positive to negative as x increases OB The second derivative changes from negative to positive as x increases OC The second derivative approaches 0 as x increases OOOOO D The second derivative increases without bound as x increases OE The second derivative is constant escribe how the second derivative of this function changes OC G O D Q G

h x x 7 The answer is Type your answer in interval notation

The corresponding ordered pair is

X graph of the given function f x to find x such that f x 5 2 Ay

A stone is launched vertically upward from a cliff 288 ft above the ground at a speed of 48 ft s Its height above the ground t seconds after the launch is given by s 16t 48t 288 for When does the stone reach its maximum height Find the derivative of s s The stone reaches its maximum height at Simplify your answer S

The domain in interval notation is 10 B G

x 5 and x 5 notation Graph the solution set of the compound inequality Choose the correct graph below OA OB 10 12 OC 12 10 8 6 OD 12 10 Write the solution set in interval notation Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is Type your answer in interval notation Simplify your answer The solu

x 2 Does the equation describe a function Yes O No

K Write an equation of the line using function notation Horizontal through 0 10 The equation of the line is Simplify your answer Use integers or fractions for any numbers in the equation

K Graph the solution of the system of linear inequalities 3x 2y 6 ys 3 Use the graphing tool to graph the solution Click to enlarge graph 8 6 4 2 10 8 6 10 2 6 8 10

1 x x 4 Choose the correct graph below A a E B a C Q D G

Choose the correct answer below OA OB OC D Q

Find the third side to the following non right triangle Round to the nearest whole number A 91 a 28 m b 36 m C

2 Find an orthonormal basis for the column space of 8 2 0 2 X 17 17 4 217 0 6V 112

EXAMPLE 4 Find the inverse function of f x x 1 0 x SOLUTION According to this outline We first write y x5 1 Then we solve this equation for x 5 x Finally we interchange x and y y Therefore the inverse function is f 1 x

A yeast culture is growing at the rate of W t 0 5e0 1t grams per hour If the starting culture weighs 5 grams what I will be the weight of the culture W t after t hours After 3 hours The weight of the culture after t hours will be W t

iven the function f x 2x x 1 find the following Write none if applicable a vertical asymptote b horizontal asymptote c x intercept d y intercept e sketch its graph below

The average life of a brand of automobile tires is 30 000 miles with a standard deviation of 2 000 miles If a tire is selected and tested find the probability that it will have a lifetime between 25 000 and 32 000 miles Assume the variable is normally distributed Give your answer as a percent rounded to two decimal places to the nearest hundredth

Which of the following is NOT a property of a normal probability distribution The distribution is bell shaped The mean median and mode are equal The distribution is bimodal The curve never touches the x axis

The average time it takes college freshmen to complete the Mason Basic Reasoning Test is 24 6 minutes The standard deviation is 5 8 minutes Find the probability that the average completion time for a sample of 28 students will be more than 24 minutes Give your answer as a percent rounded to two decimal places to the nearest hundredth

Without using a calculator estimate the value of the following Show your process a log2400 b log350

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y 3 y 0 x 4 x 9 about y 4 125 443