Application of derivatives Questions and Answers

1 5 4 and 1 5 5 0 3 answered on 3 instantaneous rate of change of f x at at a

division 4n 5 17n 4 23n 3 14n 2 23n 21 n 3

Describe all x values within a distance of 9 from the number 1

Jobs Inc has recently started the manufacture of Tri Roba a three wheeled robot that can scan a home for fires and gas leaks and than transmit this information to a smartphone The cost structure to manufacture 21 400 Tri Robos is as follows Direct materials 52 per robot Direct labor 39 per robot Variable overhead 5 par robot Allocated fored overhead 28 per robot Total a1 Jobs is approached by Tienh Inc which offers to make Tri Rabo for 114 per unit or 2 439 600 Following are independent assumptions Direct materials Direct labor Assume that 405 000 of the fixed overhead cost can be avoided Enter negative amounts using either a negative sign preceding the number eg 45 or parentheses es 45 Variable overhead Fixed overhead Cost 1 112 800 Purchase price 834 600 Make 107 000 599 200 2 653 600 Buy Net Income Increase Decrease

ment the formula for Pr to solve the foll benefit concert eleven bands have

y Find the area of the surface generated by revolving the curve x The area of the surface is square units www 2 1 0 y 3 about the y axis

Let x 21 20 2 21 21 25 Then the rate of change of the function at x 4 to three decimal places is

graph the solution set 3x y 6 and 2x y 24

F Determine the axis of symmetry 9 Determine the minimum or maximum value of the function h Write the domain and range in interval notation Write your answers in exact form Part 1 of 9 a Determine whether the graph of the parabola opens upward or downward The graph of the parabola opens downward Part 2 of 9 b Identify the vertex The vertex is 33 Part 2 9 Part 3 of 9 c Determine the x intercept s Use the ordered pair button to enter your answer Separate your answers using commas if necessary Select None if applica T intercent ch 6

The cross section of a hill can be approximated by y 0 8x 0 00008x from x 0m to x 100 m The top of the hill is level How high is the hill 120 m

Find the vertex of the parabola by applying the vertex formula g x 3x 6x 107 The vertex is 0 0 0 0 0 1

The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 35 The learning urve for the number NW of units produced per day after a new employee has worked t days is modeled by N 35 1 et After 20 lays on the job a new employee produces 19 units a Find the learning curve for this employee first find the value of k Round your value of k to three decimal places k N b How many days should pass before this employee is producing 27 units per day Round your answer to the nearest whole number days

The traffic flow rate past a certain point on a highway is q t 1300 2400t 420t where t is in hours and t 0 is 8 AM How many cars pass by during the time interval from 8 to 10 AM Answer cars

SKIN AILY YDR OTION lydrates all elps protes un damas L A Click Submit to complete this assessmen Question 2 Select the graph below that matches the followi degree is 6 x 4 is a root with multiplicity 2 x 3 is a root with multiplicity 1 x 1 is a root with multiplicity 3 leading coefficient is negative 100

Choose the correct graph below O A Q fins a O B IN 5 O C OD 7

n last try 0 of 1 pts Se ext question Ge

2357 12 x Find the component form of u Round your final answers to the nearest hundredth

Let f x be continuous and a be any constant Explain carefully why S f x dx f a x dx 0

A particle moves along a line At t seconds the particle s velocity is given by v t 3t 2t 8 in units of meters per second Find the total distance traveled by the particle between times t 0 and t 3 Simplify your answer

Add first finding the LCD 3 14 3 10

Find the slope of the tangent line to the graph of the function at the given point 5 f x at 1 5 8x M Determine an equation of the tangent line y

Y be a function and E F be subsets of Let h X Prove that h EUF h E Uh F

The values of In and wn are n 0 1 2 3 4 5 6 7 8 9 10 In080 160 240 320 400 480 560 640 720 800 W 080 85 90 92 84 76 81 83 83 0 If one kilogram of fertilizer covers 150 square meters find a reasonable estimate for the amount of fertilizer needed to fertilize the fairway amount of fertilizer kilograms a nic picture

V Solve the system of equations graphically If the system does not have the system is inconsistent or dependent

Consider the function f x 4 1 2 and the number I I Here we explore the accuracy of three standard approximations for I namely i R30 f the Riemann sum approximation with 30 subintervals and right endpoint evaluations il T30 f the Trapezoidal rule approximation with 30 subintervals and iii S30 f the Simpson s rule approximation for I with 30 subintervals Using computer assistance as appropriate calculate the exact values for I and the three approximations above Then subtract to reveal the error in the approximations I R30 f I T 30 f 1 1 I S f f x dx FEEL

If P 0 1 possible values for 0 O 2km k Z 7T OTT 2km ke Z O 2km ke Z O4 2km k EZ then which of the following represents all the

If 3 2 lies on the terminal side of 0 then which of the following is equal to P 0 0 3 13 2V 13 O 2 13 3 1 2 3 13 2 13

K A rectangular fish ta a How many c b How many r c How many li

What is P 240 2 2 0 2 2 0 2 0 3 1 2

If P 0 2 2 then at which quadrant does P 0 6 lie OI SO II O III OIV

Find all values of t at which the curve r t sin t cos 3 t p t 2 2 6 passes through the point 0 1 15 find the tangent vector s at these values of t

7 22 Use i shell method and ii disk method to find the volume of a cap of sphere with radius R and height h Answer 3 3R h h

Consider the integral I x 3 3x 5x 5 dx a Approximate I using Simpson s Rule with n 4 subintervals S4 b Find the exact value of the integral I

ques Consider the function f x values f x f x 6x 9 2x 1 Get a similar question You can retry this question below 2x 1 x 6x 9 2 x 2 x 3 Question Help Message instructor Compute each of the following Simplify your answer and use exact X X

Sketch the graph of the polynomial function Make sure your graph shows all intercepts and exhibits the proper end behavior P x x 1 x 2 10 10 5 5 y 15 10 5 5 10 15 y 15 10 5 5 5 WebAssign Plot X 10 10 X 10 10 5 15 10 5 5 10 15 y 15 10 y 5 5 10 10 X X

work 2 3 Product and 16 1 15 answered stion 15 El 9 sin x 4 sin x 6 cos x

Find the following using the table below X 1 2 3 4 1 3 f x 2 4 f x 4 1 2 3 g x 2 1 3 4 g x 1 4 2 3 h 1 if h x f x g x f x g x h 1 if h x

y values 9 8 7 6 5 4 3 2 17 If f x f 3 1 g x h x then 2 3 x values 4 5 a y values 5 3 2 h x 1 2 3 x values 5

y 6 5 4 3 2 1 y f x y g x X 1 2 3 4 5 6 7 The graphs of the linear function f and the linear function g are shown in the figure above If h x f x g x then h 4

ork 2 3 Produ 1 15 answered on 8 uotient rule to find th

Mrs Rodrigues wants to compare the spread of the test scores of her two biology classes Which statistic should use O mean O standard deviation O median O mode

The population of a town is divided into three age categories A random sample of each category is surveyed about voting choices This type of sampling is called O cluster sampling O stratified sampling O simple random sampling O systematic random sampling

B 10 4 Number of Games N 1 0 0 4 Points Scored Per Game 5 9 10 14 Number of Points 20 24 How can the graph be adjusted to show the skew The intervals on the x axis can be changed to be continuous and consistent The interval on the y axis can be changed to show only the relevant numbers 3 and The scale on the x axis can be increased to show the interval 25 29 The scale on the y axis can be decreased to show only the numbers 0 5

The test scores of a geometry class are given below 90 75 72 88 85 The teacher wants to find the variance for the class population What is the value of the numerator of the calculati the variance Variance O 160 6 16 259 2 x x x N

A scientist collected two sample sets of snowfall data Which statistic should he use to compare the spread of the two sets of data O median O mode O mean Ostandard deviation

A convenience sample differs from a voluntary sample in that O a convenience sample is structured based on accessibility to the researcher and a voluntary sample is based participant interest O convenience samples survey each participant once and voluntary samples survey each participant numerous times O convenience sampling is a method of random sampling and a voluntary sample is not O convenience sampling is not a probability based method and voluntary sampling is

Pollsters take a survey of people at a ball game to collect and analyze data about favorite leisure activities of Star City s residents Would this study be biased Why or why not O No it is not biased The sample of people at the ball park is representative of Star City s residents O No it is not biased All people at the ball park will respond to the survey OYes it is biased Not all people at the ball park will respond to the survey Yes it is biased The sample of people at the ball park is not representative of Star City s residents

Which measure would be the most appropriate to describe the center of the data in the histogram below OOO sing TINGG RREING 20 10 mean Dally High Temperatures 50 64 range O median 55 69 60 64 High Temperatures 65 69 70 74

Which formula is used to calculate the standard deviation of sample data S 0 2 2 2 X X x X X X n 1 x x H XN H N 2 XN x x x x X S

The difference between an observational study and an experiment is that Oin an observational study only one group is studied and in an experiment two groups are studied in an observational study the researchers do not control treatment and in an experiment they do in an experiment cause and effect is analyzed and in an observational study it is not O in an experiment one group is studied over a short period of time and in an observational study the group is studied over a longer period of time