Differential equations Questions and Answers

uppose a triangle has vertices A B and C and has the following measurements m C 93 AC 40 1 cm a Start by drawing a diagram of this triangle and labeling the known values b What is the length of AB in cm AB c What is the degree measure of ZA mZA cm m B O d What is the degree measure of ZB O Preview Preview Preview BC 32 5 cm

Jestion 5 J G dy I for y In 4x 4e2

For the given differential equation carry out these steps a Complete the table with values in the slope field b Sketch the slope field using the computed slopes c Sketch the solution curve that passes through the given point using the window defined by the points in the table y t 5t 5 1 1 a Complete the table OA ri www y 0 y 1 y 2 b Use the computed slopes to sketch a slope field Choose the correct graph below 15 0 5 1 1 05 10 15 OB y of 111 1 5 10 0 5 10 25 3061 y 0 y 1 y 2 0 5 10 15 20 25 30 t 0 5 5 5 OC M t 0 1 5 20 055 t 1 t 1 HOOO 0 0 0 t 2 5 55 t 2 11 11 05 10 15 20 25 30 t 3 10 10 t 3 10 Incorrect

olve the initial value problem If possible give the solution as an explicit function of t Int e y t y 1 In 4 3

Solve the following initial value problem and leave the solution in implicit form Use graphing software to plot the solution If the implicit solution describes more than one curve be sure to indicate which curve corresponds to the solution of the initial value problem 2t y t y 4 7 The solution in implicit form is Simplify your answer

For the given differential equation complete the table with values in the slope field Then sketch the slope field using the computed slopes 10y y t 7t Complete the table Simplify your answers y 0 y 1 y 2 y 3 t 1 t 2 t 3 y 0 y 1 y 2 y 3 t 1 t 2

1 ind the volume of the solid generated when the region bounded by y x 8 x 5 and x 6 is revolved about the x axis Round your answer to four decimal places y 0

4 Use the fundamental identities and the given data to find the other function tan 8 3 angle 0 in Quadrant IV sin 8 O A OB O C 335 C 1 1 20 D 315

Solve the initial value problem begin array I frac d 4 y d x 4 y 4 x cos x 8 sin 2 x y prime prime prime 0 0 y prime prime 0 y 0 1 y 0 3 end array

1 Find the Laplace Transforms of the following functions a b c t f 1 124 1 0 t 4 4e4 t t24 ct t t 0 t T sin TdT f t t e 2t d the graph shown in Figure 1 below Figure 1 Graph of f t

5 14 5 14 answered uestion 6 polynomial of degre

2 5 points A Microchip company found quarts in commercial quantities in two different developing countries X Y To take advantage of the reduced cost of labor the company has built two independent foreign pre processing firms one in each location to produce silicon from quarts for its chip Industry However the production of silicon is sometimes stopped due to disrupted electricity supply at these locations In location X there is a 12 chance that there will be no electricity supply during production hours Similarly there is a 21 chance of the same problem in location Y a 1 5 points At a particular random time find the probability that only one of the foreign firms is operating without electricity disruption b 1 point At a randomly selected time determine the probability that at least one of the foreign firms is operating without electricity disruption c 1 point Calculate the probability that neither of the foreign firms is producing silicon because there was no electricity supply d 1 5 points If at least one of the foreign firms is producing silicon at a particular time find the

Find the linearization L x for f x y 3x 2 2y 2 5xy at the pint 1 2

se the alternative curvature formula K r t 8 sint 8 cos t 0 vxa to find the curvature of the following parameterized curve

K A rectangular fish tank is a How many cubic b How many millilit

y t solution of the initial value problem begin array c y prime prime 6 y prime 9 y u t 2 e 3 t 2 y 0 0 quad y prime 0 0 end array where u t is the step function

A missing data value from a set of data has a z score of 2 1 Fred already calculated the mean and standard deviation to be 43 and a 2 What was the missing data value Round the answer to the nearest whole number 39 41 45 47

The rumor People who study math all get scholarships spreads within a technical high school Data in the following table show the number of students N who have heard the rumor after t days 9 10 11 12 1 2 3 4 5 6 7 8 15 21 23 25 25 1 2 3 4 9 26 27 Time t in days Number N Who Have Heard the Rumor a Use regression to fit a logistic equation N t N t Round to three decimal places as needed C 1 ae bt to the data

culus II Discussion 7 Definite Improper 1 86 cervix prostate rung Ski and eye are some of The amount of energy that is transmitt implant is measured in rem units roentgen e P S 3 6 1 where k is the decay constant for the radioact implant and Po is the initial rate that energ activity Notice that the integrand is the c used to model any type of continuous growth of and is thus regarded as a common and widely 1 Implants of iodine 125 are used to trea patient and never removed Iodine 125 a Find the decay constant k for iod ful of the uni DORO 00 wo

Determine the form of a particular solution of the equation u 11u 6t 91 3e t up t At Bt Ct D Ee t up At B Ee t up At Bt Ct D Ee t up t Ar Bt Ee

The function f x log3x 2 is translated to get g x log3x 4 What is the effect on f x O f x moves 6 units downward Of x moves 4 units to the left O f x moves 2 units to the right Of x moves 6 units upward

27 Consider the four phase and eight phase signal constellations shown in Figure P 8 27 Determine the radii r and r2 of the circles so that the distance between two adjacent points in the two constellations is d From this result determine the additional transmitted energy required in the 8 PSK signal to achieve the same error probability as the four phase signal at high SNR where the probability of error is determined by errors in selecting adjacent points M 4 M 8 Figure P 8 27

g Linear functions have a constant rate of change TRUE FAL

Find the partial fraction decomposition for Sdx O 1 x 1 1 x 1 1 x 2 1 O None of the above O 1 x 1 1 x 1 2 x 2 1 O 1 x 1 1 x 1 2 x 2 1

Use the following graph of a difference equation to estimate the value of x3 given X 2 5 2 0 AXn 2 The value of x3 is estimated to lie in the interval Select an Option Select an Option 3 0 Q 1 25 1 5 2 75 3 1 5 2 0 5 1 0 0 2 25 2 75 1 1 25 0 05 Xn 111 e difference equation Xn 1 X 2X 2 is n

Solve for the Given Problem y x y dx x 3x 5y dy 0 Final Answer Y 3 In 2 2 1 ln 12 2 1 X In 2 12 1 In 1 4 ln x C 2 2 X

Follow the steps to find the equation of the tangent line to the curve x4 y 512 at the point 4 4 This problem has two parts You may only open the next part after correctly completing the previous part Implicit Differentiation What is dy help formulas dx What is the slope of the tangent line to x4 y 512 at the point 4 4 numbers x 3 y 3 help

d bounds on the real zeros f x 4x5 2x 2x 2x

The following data represents nonstop flight times in minutes and one way ticket prices

Observe the following picture from the ceiling of DSC 111 involving 5 vectors all emanating from the origin desk They are by color 5 0 6 3 3 31 10 9 91 1 3 3 31 and 3 5 3 5 3 5 Each block in the XW plane represents a square foot In the space below find the volume of the parallelepiped formed by the orange red and maroon vectors in that order

Solve the right triangle where angle C is the right angle a 2 c 4 b A B Round to the nearest hundredth as needed Round to the nearest tenth as needed Round to the nearest tenth as needed

Solve the system of equations by the a a solution state whether the system is 3x 2y 6x 5y 13 28

K Solve the following system of equations by a solution state whether the system is inc x y 11 4x y 4

Use the given zero to find h x x 12x 28x Enter the remaining zeros

For each question give an exact answer or give at least 4 decimal places Show your work 1 45 of the students in a school are female and 70 of the female students do volunteer work 60 of the male students do volunteer work Find the probability that a randomly selected student a is a male and does volunteer work b does volunteer work c is a male given that the student does volunteer work

3 Evaluate the line integral I F dr where C is the triangle from 0 0 to 0 4 to 2 0 to 0 0 and F y cos x xy sinx xy x cos x Answer 16 3

The temperature H in degrees Celsius of a cup of coffee placed on the kitchen counter is given by H f t where t is in minutes since the coffee was put on the counter a Is f t positive or negative negative Be sure that you are able to give a reason for your answer b What are the units of f 25 help units Suppose that f 25 0 5 and f 25 74 Fill in the blanks including units where needed and select the appropriate terms to complete the following statement about the temperature of the coffee in this case At minutes after the coffee was put on the counter its temperature and will decrease by about in the next 45 seconds

DuratIG A ball is projected upward from the g h 16t 224t where t is the num 784 ft above ground

Solve the equation by factoring 5x 2

The cost of producing x units of a commodity per week is C x 0 3x 9x 34x 500 Find all values of x where C x 0 How are these levels of production related to the graph of the marginal co Ox 1 It corresponds to a minimum on the graph of C x Ox 1 It corresponds to a maximum on the graph of C x Ox 10 It corresponds to a point of inflection on the graph of C x Ox 10 It corresponds to a minimum on the graph of C x

the yp being used is 1 26 8 i e 2 i t 3 Now building on that use the yp for the complex exponential forcing to find yp for the following differential equations Warning no credit if you are not showcasing this specific technique i y 6y7y 5e t sin t

x y z 2 1 19 2 2x 5y 2z x 9y 3z 42 3 Write the solution as an ordered triple Select the correct choice below and fill in any answer boxes within your choi OA There is one solution Type exact answers in simplified form OB The system is dependent OC There is no solution Show Transcribed Text Solve the following system of equations x 7y z 7 1 x 8y z 8 2x y 1 2 3 What is the solution Select the correct choice below and fill in any answer boxes within your choice

One standard for admission to Redfield College is that the student must rank in the upper quartile of his or her graduating high school class What is the minimal percentile rank of a successful mpplicant

Given the equation below find dy dx dy dx 36x8 10x60y y 47 Now find the equation of the tangent line to the curve at 1 1 Write your answer in mx format

5 4pts Sketch on the same graph an approximate graph of the derivative of the function below

296 T A building that is 225 feet tal of various lengths x as the day goes elevation is formed by lines from the of the building to the tip of the shado following figure Find the rate of chang do when x 272 feet elevation dx

Wrte this atio as a fraction in simplest form without any units 2 days to 56 hours

er decr max min concavity IP s Mohamed Salad Attempt 1 2 00 00 3 6 Question 1 0 5 points Listen Given f x 2x 3x 36 and decreasing and relative maxima ar incr on 3 and decr on 3 2 rel max 3 33

nswers as a comma separated list If an answer does not exist enter DNE

Show that f x y xe y is differentiable at 0 0