domain of a relation

Q: 8. Find the volume of the solid generated by revolving the area under f(x) otated about the y -…

A:

Q: Consider a nonnegative measurable funct that m({x € E : g(x) > M}) ≤ √ √ ² 9. M E Hint: Consider the…

A: Given a nonnegative measurable function g defined on E. If G is integrable over E. We have to prove…

Q: can you explain how you plotted the points?

A:

Q: Determine if the series converges or diverges. If it has both positive and negative terms, determine…

A: The given series ∑5+3-1mm4+3m We have to find its convergence.

Q: Consider a retirement savings account where the monthly contribution is $110 for the first 25…

A: P1=PMT1+rnnt-1rn Where  PMT=$110,  t =  25 years,…

Q: Let E be the region bounded below by the cone z = 3. (x² + y²) and above by the sphere z² = 10² – x²…

A:

Q: A box contains N coins, m of which are fair and the rest are biased. The probability of getting a…

A: Here the observed frequency of the experiment is as following:     f(head) = 1/2 = f (say)  Now it…

Q: 20. Tickets for a school play were $10 for adults and $6 for students. Total ticket sales were…

A: Since you have posted a multiple question according to guildlines I will solve first (Q.20)question…

Q: (d) Add a new node to the above nodes, and find the interpolating polynomial. Write down the…

A:

Q: Evaluate the following integral π/2 π/2 [V=7² [√=12 NI 0 Y x² cos(xy) dxdy

A: The given integral is:                              I=∫0π/2∫yπ/2x2cosxy dxdy

Q: The rumor "People who study math all get scholarships" spreads within a technical high school. Data…

A: Consider the given table, Time, t 1 2 3 4 5 6 7 8 9 10 11 12 Number, N 1 2 3 4 9 15 21 23 25 25…

Q: For the given function f (x,y) = ln (x3 + xy2), find f (1,1) x

A:

Q: In order to pay for college, the parents of a child invest $25,000 in a bond that pays 6% interest…

A: Bond Amount =$25000=P ROI = 6% = 0.06 Compounded semi annually so n =2

Q: 1 Parametric curves Consider the parametric function (1) Show that this traces a line segment in the…

A: The given parametric equations are, x(t)=sint , y(t)=2-sint. (1) To Prove: the curves traces a line…

Q: 5. Consider Newton's method for solving the nonlinear equation f(x)=x²-a=0 where a > 0 whose two…

A:

Q: Ana's Catering Service rendered a Service cost P 250 per head for 20 or less person, P 230 per head…

A: Piecewise function: A function which is defined according to interval. For each interval the…

Q: . The bridge shown has dimensions as given where the arch measures 18 feet at its highest point. The…

A: Given CD= 18 feet and r is the radius that is OA=0B=r Therefore OD=OC-DC=r-18 Since AB= 60 feet…

Q: 2. Define a relation R on Z as follows: a Rb if and only if 5 | (a²-b²). a) Prove that R is an…

A: A relation R on ℤ is defined by: a R b if and only if 5 | a2-b2 . We have to prove that R is an…

Q: Solve the equation for y in terms of x. Enter the exact answer. 2x = 3 - 3y Enclose numerators and…

A:

Q: Solve the system equation A) 2x-y+z=1 2x-3y-3z=5 2x+2y-z=-13 B) 3x-4y+2z=15 -2x+3y+z=-7 x-2y+3z=13…

A:

Q: (6) Evaluate (y+z) ds where S is the part of the half cylinder y² + z² = 4; y 20 S that lies between…

A:

Q: The graph below depicts a function f(x). Its two asymptotes are indicated in red: The graph below…

A:

Q: (3) (a) Determine whether the series is convergent or divergent. Explain why. n (b) Show that the…

A: The given series is ∑n=1∞inn We have to check the convergence of the series. We know that - loge1-i…

Q: 114. Biology With each breath, a person at rest breathes in about 0.50 L of air, 20.9% of which is…

A: Given volume V=0.50 L Temperature T=20°C pressure, P1=1 atm P2=0.695 atm R=0.08205 Use formula…

Q: could be either true or false). Example: EITHER dogs bark OR cows croak. TRUE V FALSE ANSWER: TRUE…

A: Please find the answer in the next step

Q: the directional derivative of the function J (x, he direction of v = 3i + 4j at the point (3,0)

A:

Q: 1. Population Growth The population of mosquitoes in a certain area increases at a rate proportional…

A:

Q: 1) The diagram shows the straight line L₁. Points A (-9, -1), M(-3, 2) and C are points on L₁. M X M…

A:

Q: ou want to purchase a new car in 5 years and expect the car to cost ​$31,000. Your bank offers a…

A: We know that future value can be calculated by formula, A=P1+rnnt-1rn Here P=deposits per month…

Q: Problem 3. Let Mnxn (R) denote the vector space of all n x n matrices with real entries. Let S be…

A:

Q: Determine whether or not each of the following congrunces has a solution. If it has, find all the…

A:

Q: Can you write it properly? It is not understandable.

A:

Q: 7. fn(x)= 1 - I 1+x -, 0≤x≤1. Evaluate lim n→+∞0 [0,1] fn. What limit result is/are applicable?

A:

Q: There is a mound of g pounds of gravel in a quarry. Throughout the day, 300 pounds of gravel is adc…

A: According to question,  In a quarry there is mound of g pounds of gravel. Then  300 pound of gravel…

Q: Evaluate x²dV where R is inside x² + y² = 1, over z = 0, and under z² = 4x² + 4y² R

A:

Q: A mobile plan charges a base monthly fee of $19.00 for the first 475 minutes of air time plus a…

A:

Q: 9. Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below (4…

A: To prove that the complex Fourier Transform of the function defined below:…

Q: Question 2 2.1. Given AABC with DE//BC. 2.1.1 State two questions that can be asked about the…

A:

Q: Lights Aglow makes desk lamps and floor lamps, on which the profits are $2.65 and $4.67,…

A:

Q: At the beginning of a study, a certain culture of bacteria has a population of  40. The population…

A: Let y be the population of the bacteria and dydt represents the rate of change in population and r…

Q: Find the minimum value of f(x1, x2, x3) = 14x, + 13x2 + 9xy subject to the following constraints.…

A: Solve this problem using Simplex Method...  Given problem...    MinZ=min{f(x1 , x2 , x3 ) }=…

Q: Ana's Catering Service rendered a Service cost P 250 per head for 20 or less person, P 230 per head…

A: Let the number of person is represented by x. Since, it is given that a service cost $250 per head…

Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

A: It is given that ; f(x) = 11+2x = ∑n=0∞-1n2nxn We have to determine the series expansion for f'(x).

Q: Determine whether the following statements are TRUE, FALSE, OR INDETERMINATE (could be either true…

A: The given statements are: 4) EITHER a bat is a mammal OR crocodiles fly. 5) IF 5 is less than 10,…

Q: Can you help figure out what percentile 78/345 is please? I need to know if it is above 80% .

A: Percentile: The value below which a percentage of data falls is known as the percentile. The formula…

Q: Solve the following ODE using Laplace Table and partial fraction expansion. +11+12y = 5 a. 2- 2²…

A:

Q: Use (1 + x)" =1+ Σ k=1 Maclaurin series for (a) (b) (c) 1 1+x √1 1+x (1+x) ³ m(m-1)... (m-k+1)* if…

A: (1) We have  1+xm =1+ ∑k=1∞mm-1...... m-k+1k!xk  if x<1 We have to find Maclaurin series for the…

Q: 2) Find the work of F = (x² - y² -4,2xy) on the semi-circle of radius 2 centered at the origin…

A: ∮F·dr=∮x2-y2-4dx+2xydy             =∬S∂∂x2xy-∂∂yx2-y2-4 dxdy               By applying Greens…

Q: Let A = {1, 2, 3, 4, 5) and S = A³. Define an action o : S5 × S → S by σο(a1, 22, ag) (σ(a₁), σ(a₂),…

A: Given : A=1, 2, 3, 4, 5 and S=A3 Define an action o : S5×S→S by     σ o a1, a2, a3=σa1, σa2, σa3,…

Q: What are the meanings of (2) (k≤n)?

A: We have to give the meaning of nk.