Mathematics Questions and Answers November 17, 2020

calculus (1 point) Substitution in the Indefinite Integral Part 1. Using the substitution: u = x - 8. Re-write the indefinite integral then evalu -4x(28 - 8) do = 0-0 Note: answer should be in terms of u only Part 2. Back substituting in the antiderivative you found in Part 1. above we have

depends only on the value of Identify f(x) f(x) = Identify L L = Identify a. a = Review the second step for proving that lim f(x) = L. Use the given inequality and the desired form of the condition to determine a plausible expression for 8. 8- Review the final step for proving that lim f(x) = L. What operations will prove the desired inequality

0 Question 13 B on pt '0 100 :3 99 (I) Details Remember, even if you enter an answer rounded to a set number of decimal places, if you use that number in a future calculation, you should use all of the decimal places reported on your calculator! SoLve triangle ABC if AA 2 432, :1 = 185.2, and i3 = 245.1. 51113 = I [round answer to 5 decimal

... UCARD U U-Login Previous Problem Problem List Next Problem 4: Problem 5 (1 point) PREVIEW ONLY -- ANSWERS NOT RECORDED S Results for this submission Entered 0 Da(x4 tan3 x)= See Example 6 page 116 for a similar problem. Preview My Answers Submit AnswersStudentVUE Tile:///Users/aubre... Google Docs Sy critical points (3x... UCARD U-Login bio 1

For the following pair of vectors, find the value of which makes orthogonal to u=(3,a,-2) and v(1-a,-3,4) and Enter the exact value.

Consider u=3i-j+4k and v=-I+2j+5k write 3(u-2v) in the form ai+bj+ck

Question

The demand function for a particular item is given by p=D(x)=1677x dollars. Find the level of production for which the demand is elastic. Remember that you can only produce whole units.

Question

Q14. Consider the power series (x - 1)n M 3n n + 2 (a) [1 point] What is the center of this power series? (No justification needed.) (b) [2 points] Show that the radius of convergence of this power series is R = 3. Justify your answer, and clearly state the name the test you are using. (c) [3 points] Determine the interval of convergence of this

Solve the following problems with steps explained Let C be the curve y = 2.5 In (6.25 - x2), for -1.1

Score on last try: 0 of 1 pts. See Details for more. > Next question 3 Get a similar question You can retry this question below Let F' :. Use Stokes' Theorem to evaluate / / curlf' - d3, where S 3 consists of the top and the four sides (but not the bottom) of the cube with one corner at (-1,-1,-1) and the diagonal corner at (4,4,4). Hint: Use the

Will rate! Heavy work is not needed but please provide correct answer. Do not use Ai Gpt to solve the question it will be wrong i have already tried. Calculate the flux of the vector field (@), y ), out of the annular region between the z* + u" = 4 and x2 ty' - 9

2 1 Let A : 1 2 (a Factor the matrix A into a product SAS -, with diagonal matrix A. (b) Using the factorization in (a), calculate the matrix exponentialed. (You don't need to simplify.)

please solve. Data was collected for a sample of organic snacks. The amount of sugar (in my) in each snack is summarized in the histogram below. Which statement best describes the meaning of one of the bars in the histogram? 10 Frequency 40 42 44 46 48 50 52 54 amount of sugar (mg) a 4 snacks have about 51 mg of sugar. 51 snacks have 4 mg of

220 - X Find the marginal revenue product dR/dn for a manufacturer with 12 workers if the demand function is p(x) = -, and if x = 3n. 4 (For help, see Example 12 on page 648 of the textbook/ebook.) . . . (Round to two decimal places as needed.) O A. Hiring an additional employee will increase the production by items. O B. Producing an additional

Test the following for convergence or divergence - Math Calculus, please show all steps C. n=1 3" -1

nO

please solve just give me the answer please put the answer clear, thank you. The following data represents the age of 30 lottery winners. 23 29 30 32 33 34 34 35 38 40 46 47 48 49 51 52 52 54 57 59 63 64 56 68 73 75 76 77 84 Complete the frequency distribution for the data. Age Frequency 20-29 30-39 40-49 50-59 60-69 70-79 80-89

4. Set up two integrals in rectangular coordinates using two different domains for the dependent variables (x,z), and (y,z) for the volume of the solid bounded by x' + y' - z' =9, -1

A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 48 in. and the length of the diagonal is a minimum, what are the dimensions of the hole? (3' Let the length and width of the hole he x and y, respectively, and let the length of the diagonal be D. Find an equation that describes the quantity to be minimized. E

Question II.6.7. Determine which of the following functions are invertible: y 1 1

Question 11.6.7. Determine which of the following functionS are invertible

Determine the area of the region bounded by y = x2 and y = 3x on the interval [0,6]. Area =

Consider the following. 5 y 4 3 2 7 1 1 2 3 4 5 6 1 2 3 4 5 (a) Evaluate f(3). (b) Evaluate f(4). (c) Solve for f(x)2. x x

2 n Consider the series Evaluate the the following limit. Enter the arctan n n=1 numerical value of the limit L if it exists, oo if the limit is infinity, or -oo if the limit is negative infinity. If it does not exist, type "DNE". lim Van! = L n -+00 Answer: L = What can you say about the series using the Root Test? O Inconclusive Divergent O

Problem 3. Consider the following function f (x, y) = {(x -t)2 + (y-s)?be-+2-> dids, R2 where r and y satisfies the equation + =1. 2 Find the minimum and maximum of f. Hint: The improper integral in R is defined by integrating over a disk of radius R when R- co.Problem 5. Let f be a continuous function. Show the following relation: For the sake of

Consider the contour represented in the following figure. The points marked on the figure are A(3, 1), B(0.5, 1), and O(0, 0). a ) Find the equation representing the line from O to A: y = 1/3x Find the equation representing the line from A to B: y = X Find the equation representing the line from B to O: y = Xb) Use Green's Theorem to find the line

4. (a) Find the particular solution to the initial value problem (IVP) dy _ 9x2, y(0) = 1 dx (b) Evaluate the particular solution y = f(x) of above IVP at x = 0.2, x = 0.4, x = 0.6, x = 0.8 and x = 1. Write your answers rounded to three decimal places. (c) Use Euler's method to approximate the solution of IVP dy _ 9x2, y(0) = 1 dx on the interval

Question

Question

Emergency please help

In the following exercise, find the value(s) of k that makes each function continuous over the given interval.

149. Xl, 3

Convert the point (I, y, 2) -(-b, 4. 4) to spherical coordinates. Give answers as positive values, either as expressions, or decimals to one decimal place. ( p, A, d) ) = Question Help: DVideo Message instructor Submit

All parts of this question concern the function f(:c) : 6 sin :13 + 2 cos :5. (a) Find the smallest positive constant M that satisfies M 2 'f(k)(t)| for every possible combination of an integer k 2 0 and an evaluation point t e (00, +00). Hint: A standard trigonometric identity implies that, for a certain angle 45, one has f(:c) = V40 sin (a: -l-

1. Find constants a and b such that g(x) is continuous for all x, where if x

Find constants a and b such that g(x) is continuous for all x, where 3 g (x) ax b x 22 2. (a) Find the slope of the tangent line to the curve f(x) 2x3 3x at x l using a definition of the derivative (difference quotient). (b) Find the equation of the tangent line to the curve f(x) 2x3 3 x at x l. 3. A plane is flying horizontally at an

A communications satellite is directly above the extension of a line between receiving towers A and B. It is determined from radio signals that the angle of elevation from tower A is 88.9 and the angle of elevation from tower B is 85.9. If A and B are 664 kmapart, how far is the satellite fromA?(Ignore the curvature of theearth.)

Sketch the graph, using limits, of y = 3x/(x-4)(x+2). Be sure to show all work and your coordinate grid must be labeled

Question

Please write everything down in a way I can CTRL- C at least for the last 5 questions - 20 - 25 (writing assessments) 11 of 25 Item 10 Which of the following expressions represents the second derivative of y = In (e] te )? (1 point) Item 11 Item 12 (este = ) Item 13 O d'y ( e te = ) Item 14 d'y ( ex e = ) O ( exte = ) Item 15 O d'y dur2 ! = Item

Let C be the triangular path from (0, 0) to (10,0) to (0, 6) and then back to (0, 0). Let F = . We wish to use Green's Theorem to find the flux of F across 0. The integral we obtain is ft: m where D is the interior of the triangle

Consider a function p(x ) defined by 5n - 2 p ( 20 ) = n 3n! n=0 1. Find p2 (a), the degree 2 polynomial approximation for p(a). 2. Use this polynomial approximation to estimate p(-1)

Show your work finding the answers for #7 here. A flag maker is designing a new triangular flag. The angle of depression from 15 in the top of the flagpole is 30. The height of the flag will be 15 inches and the bottom side will measure 26 inches. Part A) What must be the length of the top side of the flag? Round the answer to the nearest

Compute the length of the curve r (t) = 7ti + 5tj + (t2 - 5) k over the interval 0

Full solution 1. a) (This is problem 3 from the textbook.) Find a power series representation for the function and determine the radius of convergence. 1 f ( x) = = 1 + x b) (This is problem 13.a. from the textbook.) Use part a) and differentiation to find a power series representation for the function and determine the radius of convergence. 1 g

Find a1 and a2 of the sequences

seqiill

1 (2) Consider y(x) to be: 3106) = and that point P (2, 1/5) lies on that curve. 1+2x (i) Find the slope of the secant line PQ for the following x values of point O that lies on the same curve. 1.9, 1.99, 1.999 (ii) Guess what the value of the slope of the tangent line will be at point P You must show the details of your work. You must make a

Question

Question II.1.12. Determine which of the following expressions make sense, geometrically describe the meaning of the expressions, and evaluate the expressions when possible: (a) (4, 1) + (2, 3); (b ) ( 2 , 4 ) - (3, 2 ) ; (c) ((4, 1) - (2,3)) + (5, -1); (d) (2, 4) - (3, 2); (e) (2, 4) + (3, 2); (f) (9, 2) + (5, -1); (g) ( (4, 1) + (2,3)) - (5, -1)

Find the average rate of change for each of the following functions for [-2.9]. -2 10) f(x ) = = (leave your answer as an cract 11 value) 9 (x) - 1 1 B 11) 13) f(x) = -x2 m(r) 12) Determine the end behavior for eady of the following functions. Use limit statements. AJ h(x) = -8x3 + 12x2 BJ f(x) = -3(x - 2)(4-9x)2 Cjh(x) = x4 + 12x]

Apply graphing strategies and sketch the graph of f (ac) = Include the following in your answer: 1. Find the x and y intercepts and vertical and horizontal asymptotes. 2. Find the critical points and MAKE A CHART to determine on which intervals the function is increasing and decreasing. Then classify each critical point as a relative maximum,

handwrit/e and show all work and steps Be sure to show and explain all work. 10 points each Part 1 - Application Find your own values that prove that tan(u-v) # tan u - tan v. Show your work and explain why you chose these values. Part 2 - Find the error(s) and solve the problem correctly. Explain your corrections. Solve: 2cos x = 4 cos x sin x

Help 11. Describe how the graph of f(x) = vx translates to f(x) = -5vx +4-3 12. Describe how the graph of f(x) = 0.75 |x + 9) - 5 transforms from the parent function y = [x|

A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the radius is 8 cm. (Note the answer is a positive number). cm min Hint: The volume of a sphere of radius r is Vil 13

Question

Question

Evaluate the following integral. S. 5x2 dx (196x2)2 What substitution will be the most helpful for evaluating this integral OA. x 14 sin 0 B. x 14 tan 0 OC. x14 sec 0 Find dx. dx de Rewrite the given integral using this substitution. S 5x dx (195x2)2 Evaluate the indefinite integral. S 5x dx (196x2)2 (Use C as the arbitrary constant.) This

1 1. Two hockey tickets and 1 basketball ticket costs $126,77 while 1 hockey ticket and 2 basketball tickets costs 128.86. How much does one hockey ticket and one basketball ticket cost

Evaluate each integral. Please give exact answers in simplest form a. [3pts] [ [, xe dxdy b. [5 pts] [ ]" (x3 + 1) dxdy

I need help with the following please. e graph shown is that of a function, f. Determine (a) f(0); (b) the domain; (c) x-values such that f(x) =0; and (d) the range. 1(0)=0 X Find the domain. Select the correct choice below and fill in the answer box to 6 8 10 12 omplete your choice. A. The domain is the interval (Type your answer in interval

Question

This question: 1 point(s) possible Sub Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) = 9.46x + 87.23, where x=0 corresponds to the year 2000. Total expenditures were $1585.78 billion in 2002 a. Find a function that gives the total expenditures x years after 2000 b. What will total expenditures be in

3. Find the radius of convergence and the interval of convergence. [(-1)- 2 ( x - 4)" 1= 1 ( b ) 2 2 x

Evaluate x- -8x /dx using the following graph. - 8 6 5 3 2 -11 -10 -9 -7 -6 -4 -3 -2 -1 -2O - X

please help with question 9. Please keep your response easy to follow along with and thank you in advance for your help! (Find graphs, region & area )

From the list below, select all TRUE statements. (But do not select any false statements!) The area enclosed between the graphs of y - Sin X and y = cos x between a = 0 and a = It is given by the integral cos x - sin x ) d x. There exists at least one point c E 1, 8 such that fi cos (In x) dx = 7 cos Inc) O x2 + 7x - 11 is an irreducible quadratic

how would you do this? Due Sat 11/04/202 94 5- 8 (x) 4- h(x ) y-values y-values 2 W N 2 3 4 Out 2 3 4 Out x-values x-values If f(20 ) = then h (z ) f' ( 2) = Preview Points possible: 6 This is attempt 1 of 2. Submit

The first derivative of a continuous function y =f(x) is y' = (5x2 - 8x) (x- 4)2. Find y" and then use the graphing procedure to sketch the general shape of the graph of f. v"=D View an example | 14 parts remaining x r P The first derivative of a continuous function y =f(x) is y' = (5x2 - 14x) (x 7)2. Find y" and then use the graphing procedure to

Question

Question

Can u help me solve both 1 and 2 D Question 1 7 pts The table shows the concentration of theophylline, a common asthma drug, in the bloodstream, as a function of time after injection of a 300-my initial dose. It is claimed that this data set is consistent with an exponential decay model where C is the concentration and t is the time Time (hrs)

Often, functions are useful because they can be used to model quantities in applications from another discipline ( physics, economics, biology, ecology, etc.) come up with two original examples: a. An application where the quantity you are measuring would be represented by a continuous function of time

find the general antiderivative for the following exercise Ejemplo 1. Encuentro la antiderivada general para 5x - 3x +6. Col

Use the method of Lagrange Multipliers to maximize flxy} = 2x11 subject to x + v =6. Show your work to receive credit. Upload your response

Helium is pumped into a spherical balloon at a constant rate of 4 cubic feet per second. How fast is the radius increasing after 2 minutes? At what time (if any) is the radius increasing at a rate of 100 feet per second? The radius is increasing at a rate of ft/sec. (Type an integer or a decimal. Do not round until the final answer. Then round to

Question

If a snowball melts so that its surface area decreases at a rate of 0.75 cm /s, find the rate at which the diameter is decreasing at the moment when the radius of the snowball is 3 cm. (-7. cm/s

For v = (3,4) and w = (-6, -8) (Sect 11.9). YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. Find a. v . W b. The angle 0 (in degrees) between u and w

Please answer this question thank you so much 1. Consider the curve y = f(x) = 2x -1. A. Find the exact area of the region in the first quadrant bounded by the curves y = /(x) = 2% - 1 and y = x. ("Exact area" means no calculator numbers.) B. Find the inverse function y = (x). C. Using part A and the notion of symmetry between a function and its

Evaluate s(t) = J" ||r'(u)| | du for the Bernoulli spiral r (t) = ( et cos(4t), et sin(4t)). It is convenient to take -oo as the lower limit since s(-oo) = 0. Then use s to obtain an arc length parametrization of r (t). r1(s) = (

Question 7 18 pts 1 3 -2 Given A = 0 6 -1 -4 1 3 -2 and CE= 5 OO 0 9 a b C A - C = d e f g h " . a = -78 b =-43 C = 13 d =1 85 e = 15 f 75 9 = h = 1 =

Please solve e wish to sketch the graph of the function f (z) = x2 - 91 + 17 ( - 4)2 . Find all the critical numbers of f and of f' (that is, all potential extrema and/or inflection points). There are two of them; enter their exact values, together with the value x - 4 at which f is undefined, in the first column of the table below (in ascending

answer the following question m i] 1. The path of a tennis ball is given by the function t) : 't2 + 8'. t) represents the height in feet and I represents the time in seconds. What is the maximum height that the ball will reach? 0 Cannot be determined 0 16feet high 0 14feet high 0 8 feet high El D 2. The sum of 2 numbers is 28 and their product is

QUESTION 2 . 1 POINT Use the differential dV to estimate the change in volume of a sphere when the radius changes from 3 to 2.4. Round your answer to the nearest tenth, if necessary. Recall that the volume of a sphere is - nr, where r is the radius o the sphere. Provide your answer below: cubic units

08.12 exam

Determine whether the sequence defined by 3n+2 an = 5n converges or diverges. If it converges, find its limit. O O0 O diverges O

6. [-/12 Points] DETAILS SCALCET8 4.3.013.MI. Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 5 sin(x) + 5 cos(x), OSXS 21 (a) Find the interval on which fis increasing. (Enter your answer using interval notation.) Find the interval on which fis decreasing. (Enter your answer using interval notation.) (b) Find the

Question

x + 45 Question 3. Sketch the graph of the function f (x) = 2 + 1000 on the domain [-50, 50]. Indicate any local max/mins, absolute max/mins, inflection points. Give the intervals on which the function is increasing/ decreasing, and the intervals on which the function is concave up/down

5) Estimate the rate of change of vehicles through the intersection modeled by the function F(t) = 92 + 5sin (- ) for 0

For the graph shown below, find all values of x for which f(x) is not differentiable. O X =0 O X= -3, = - 1, x=0 O X = - 3, X= - 1 O f(x) is differentiable for all x-values

1. p and q are complex numbers such that q = 415 and Ip + al = 9V/2. On what interval must p fall? 9V10 O 20 , 90 0 [9V2 -415, 00) O 2V10 9 ,00 0 9V/2 + 4V5, 02 Convert I" m to rectangular form. Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified. Fmm Q Q Vector a is expressed in

10. Consider the function f (20 ) := 1 - 2 2 . Please apply the tools from differential calculus developed in the previous sections and determine all important features of the function f like: domain, range, symmetry, intervals of increase, decrease, local maxima and minima, inflection points, intervals of concavity, asymptotes and then sketch the

Can you generalise E(X) to a pair of fair m-sided dice?

Question

12:58 AM Sun Nov 12 . . . 93% xyzhomework.com Clear All Draw: Opposite: 5 wo N -5 -4 3 -2 -1 1 2 3 4 Clear All Draw: Conjugate: -5 -4 -3 -2 -1 1 2 3 4 ur Clear All Draw: Question Help: B Video BeBook Add Work Submit12:57 AM Sun Nov12 no xyzhomework.com B G a XYZ Homework 8_2 Progresssaved Done E] E' : Score: 8.83/15 8/15 answered 0 Question1 [30/1

Use the Law of Cosines to find the remaining side(s) and angle(s), if possible. (Sect 1 1.3). YOU MUST SHOW ALL WORK TO RECEIVE FULL CREDIT. a = 5, b = 12, c = 13

3. Two points (1,1) in a metric space X are said to be connected, if there is a connected subspace of X containing a and b. Prove that if every pair of points in X are connected, then X is connected

An isosceles triangle with a horizontal bottom side measuring 12 feet and other two sides measuring 10 feet is submerged such that the top point of the triangle is 2 feet below the water surface Approximate the hydrostatic force against one side of the plate by a Riemann sum, and choose one of the following for the integral formula for this

Test: MidTerm Exam MML Question 15 of 20 This test: 20 point(s) possible This question: 1 point(s) possible Question list K Find an LU factorization of the matrix A (with L unit lower triangular). 4 4 1 = / 16 - 30 12 O Question 10 - 1 4 0 Question 11 U = 1 1 (Simplify your answer ) Question 12 L = 0 (Simplify your answer) estion 13 on 14 15 Q .

7-67 (Every fourth, and also 29, 33, 61, 65; pp.329-330 ) SECTION 3.5 . Complex Zeros and the Fundamental Theorem of Algebra 329 EXAMPLE 7 . Factoring a Polynomial into Linear and Quadratic Factors Let P(x ) = *4+ 2x2 - 8. (a) Factor P into linear and irreducible quadratic factors with real coefficients. (b) Factor P completely into linear factors

Assignment 6 1 Question 1: Verify that y = 623 is a solution of the differential equation 3;" + yr 23; = U. {6 points) Question 2: Solve the rst order differential equation by separating variables. [18 points) (a) if = 2(1: -1} Question 3: Find the solution of the following initialvalue problem. (12 points] {a} y' = aley; y(} = 1 Question 4: The