Differential equations Questions and Answers

Use Simpson s rule to approximate the integral using the indicated value of n so there are 2n subintervals Round to two decimal places 1 21 1 03 1 11 1 13 n 4

Using disks or washers find the volume of the solid obtained by rotating the region bounded by the curves x y and x 1 about the line x 1 Volume

please help with the following problem in diff eq Prove y Co sin sqt lamda t C1 cos sqt lamda t is a solution to y lamda y 0 when lamda is greater than 0 0 Prove y cosin x t C cost a solution to gB xy 0 x 0

Help Lecture 87 Ex 87 2 87 What is the minimum value of t for which a t 5e 02t cos 3t damps out to values less th or equal to 1

694 Find the 2nd derivative of f x x4 5x 2x 10 Select one Of x f x 12x 34x Of x 4x 30x 4 O f x f x 12x 30x 4 Of x 12x 30x 4x 2

89 Estimate the present value P of a future sum F of 20 000 deposited into a savings account at a 5 interest rate for 10 years using discrete compounding Altogether how much interest would be earned Select one 12 278 27 12 521 69 7 721 73 11 355 38

Solve the wave equation a a u x u 0 t 0 u L t 0 10hx L 10h 1 u x 0 x t 0 Ban a u 0 x L t 0 see 1 in Section 12 4 subject to the given condition at 0 x L L 2 X L 2 n 1 1 Ju at t 0 0

43 Find f x if f x 1 x 93 Select one O O O In x C 1 In x In 2 2 C C X 2 C

4 3 2 3 H 2 3 4 5 Select the name of the toolkit function in the graph Select an answer Select an answer Logarithmic Exponential Quadratic Cubic a Reciprocal Linear Absolute Value J x x n of the toolkit function in the graph

Which rule should be applied first when we find the derivative of the function given below without re writing it in a different form x cot x 1 x The Product Rule The Sum Rule The Quotient Rule The Power Rule f x x6

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Use the given function f to answer parts a through f below f x 2 Inx d Find f the inverse of f 1 c From the graph determine the range and any asymptotes of f The range of f is 0 00 Type your answer in interval notation Determine the vertical asymptote of f Select the correct choice below and if necessary fill in the answer The vertical asymptote of f is x 0 Simplify your answer B There is no vertical asymptote Question 16 4 75 Part 7 of 8 x 2 Simplify your answer RULD

Cost of hardwood flooring The cost of walnut hardwood flooring is 11 99 Per square foot if Nancy installs the flooring hereself or 15 99 per Square foot if she has the flooring installed by the flooring Company Determine the Cost for hardwood flooring in the living dining room Living Dining 25 x 22 Nancy installs it hereself

Give its meaning in words Values that are 2 Select an answer 1 Select an answer Select an answer less than greater than less than or equal to greater than or equal to values that are

Which of the following are equivalent to log 4 2 log 20 log 10 10 log 20 log 8 logi logt 17 2 Autortion Help M Massage instructor

Which of the following functions are one to one

4 1 pt Solve the initial value problem dy dx 3x 2 y 1 2

The formula 1 x 13 4 In x 11 6 gives the temperature increase in Fahrenheit in a vehicle when the outside air temperature is anywhere from 72 F to 96 F where x is the number of minutes during the first hour W If the temperature outside were 80 F and the interior temperature were 60 F what would the interior temperature be after 6 minutes Round your answer to the nearest hundredths of a degree and do not enter the units with your answer

1 Solve the first order differential equation 6 sin 5x dy dx cos 5x 4 cos 3y

Consider the function f x 6 x 4 for x 4 A Find f 5 B Use Theorem 7 page 156 of the Stewart Essential Calculus textbook to find f 5 f 5 C Calculate f x and state domain and range of f Use interval notation If needed enter inf for or inf for f x Domain Range Calculate f 5 from the formula for f and chook that it

A relation in x and y is given Determine if the relation defines y as a one to one function of x 15 20 y 3 4 7 The relation defines y as a one to one function of x The relation does not define y as a one to one function of x X

Find the exact value of the expression below sin 14 cos 16 cos 14 sin 16

Find the exact value of the expression below tan 49 tan 19 1 tan 49 tan 19

White an iterated integral of a continuous function f over the following region The region bounded by y 7 x y 4 and x 0 Choose the correct answer below Select all that apply DA SS fxy dx dy 47 y SS 7 7 y DE fixy dx dy SS fo fixy dy dx O B OD F 37 X SS f xy dy dx 37 y SSFX 00 77 X SS f x y dx dy f x y dy dx 8 3 98

A pizza pan is removed at 8 00 PM from an oven whose temperature is fixed at 400 F into a room that is a constant 73 F After 5 minutes the pizza pan is at 300 F a At what time is the temperature of the pan 130 F b Determine the time that needs to elapse before the pan is 180 c What do you notice about the temperature as time passes

Let R be the region bounded by the following curves Use the disk or washer method to find the volume of the solid generated when R is revolved about the y axis y x y 5x y 10 OA OB Set up the integral that gives the volume of the solid Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your choice Type exact answers dy GCOCO dx 10 of y Sx y 10

sec x y y tan x y cot x y csc x y cos x y sin x 6 5 4 3 2 1 111 6 5 4 3 2 1 1 3 14 5 6

Evaluate the following integral in cylindrical coordinates 4 5 2 2 25 x s s s 0 0 X e x y dy dx dz 4 5 2 2 25 x s s s 0 0 X Simplify your answer Type an exact answer using as needed e x y dy dx dz

2 points Find the exact length of the curve x 1 yos Arc Length y2 for 1 y 16

Solve the initial value problem y y f t u e du y 0

Consider the IVP y 2t y with some given initial condition Suppose that in one step of the RK4 method applied to ti U we have the following values What is the value of h 0 2 0 3 0 4 0 5 k 0 8 k2 0 48 k3 0 544 k4 0 2624 ui 1 1 4816

8 Describe in words and a simple sketch the surface given by the following equalities b 4

A radio tower is located 350 feet from a building From a window in the building a person determines that the angle of elevation to the top of the tower is 34 and that the angle of depression to the bottom of the tower is 33 How tall is the tower foot

1 19 18 17 16 15 14 1312 11 10 9 8 7 6 5 4 3 2 1 1 f x 3 4 1 5 1 12 5 6 7 8 9 The curve above is the graph of a sinusoidal function It goes through the points 9 4 and 5 4 Find a sinusoidal function that matches the given graph If needed you can enter 3 1416 as pi in your answer otherwise use at least 3 decimal digits

Find an angle with 0 0 360 that has the same Sine function value as 230 0 Cosine function value as 230 0 degrees degrees

A legislative committee consists of 9 Democrats Complete parts a through d below

Find the general solution of the LINEAR differential equation For full creadit show all work and do not use formulas for for the solution y frac y t 2 1 Make an attempt to find the particular solution for the initial condition a y 2 1 b c y 1 0 y 2 0 d cleariy state for which of the initial condidtions the particular solution exists and for which it does not exist Attach File

Part 1 of 6 a As x 00 f x 3 Part 2 of 6 b As x 2 f x 0 Part 3 of 6 c As x 2 f x x 00 Part 4 of 6 d As x f x 3 Part 5 of 6 e The graph is decreasing over the interval s Never decreasing Give your answer in interval notation Select Never decreasing if applicable Part 5 6 y f x Part 6 of 6 f The graph is increasing over the interval s Give your answer in Interval notation Select Never increasing if applicable 0 0 0 0 0 0

Use a tree diagram to find the nu a if repetition is allowed

27 Simplify OB O A O C D 7 2i 4 3i 22 13 25 25 34 13 25 25 34 29 25 25 22 29 25 25

Given P x 1 31 The zeros are Write Pin factored form

Write an equation for the function grap 7 6 5 4 La IN

Exercise 5 2 1 Find the derivative of the following function and express your solution with Dirac s deltas 2 Find the convolution of and f g x 1 2 f x 8 x fo f y g x y dy g x 28 x 383 x

5 a Prove that y x e 1 is a solution of the initial value problem y x x 1 y 1 x 2 y 0 0

23 Solve the differential equation y x y by making the change of variable u x y

vious Problem Problem List Next Pr pint For x E 13 14 the function f is de which two intervals is the function increasing to to the region in which the function is positive

differential dy wh differential dy wh can earn partial

part of a survey 16 college graduates and 19 non graduates were ked How many hours did you spend at your job last week The sults are shown in the stem and leaf display below Answer the estions that follow Number of hours at work Graduates Non graduates 7422 21 3 55320 3 0 3 3 5 6 7 8 982110 4 0124789 4 5259 Key 222 2 1 21 a What were the ranges for the two groups Graduates Non graduates b Which group had the higher median number of hours Graduates ONon graduates The medians were the same c Which group had more responses in the 50s X AN Aa KI

Use math induction to prove 3 n for any positive integer n when n 2

work 2 Determine the measure of the gi AURIC