1. For each solution. congruence determine whether there is a J X² = -1 (mod 397) (397 is prime) CC x² + 8x + 14 = 0 (mod 37) iii) x² = 785 (mod 787) (787 is prime)

Q: 16. Use separation of variables to obtain the general solution of the equation ди ди Partial…

A: ∫xndx=xn+1/(n+1) , n≠−1∫1xdx=ln⁡x∫exdx=ex

Q: Graph and shade the region enclosed by y=sin(3x), the x-axis, 0≤x≤ $ Volume Enter the exact value.…

A:

Q: Show that cos x = k=0 (−1)k (2k)! x²k, Vx ER.

A:

Q: (6 pts) Let g: A →→ B and f: BC be two functions. Prove or disprove the followings: (a) if f and g…

A: The objective of this question is to prove or disprove two statements about the composition of two…

Q: g.uk/courses/37010/files/13546023?module_ite... Topic review: Surface area Download 235 review…

A: The objective of the question is to calculate the area of metal used to make the waste skip and the…

Q: Which random graph G(N, p) has (k) and variance o² of the degree distribution given by o² = 20?.…

A: We have the following relations between the given quantities:Given values:Solve for and :For :  For…

Q: A non linear function: A. makes little sense because in real life, variables are related linearly…

A: Among the given choices: A. False. Nonlinear capabilities are regularly experienced, in actuality,…

Q: Find the inverse of the function, s(t) = √3 – t² − 6

A:

Q: Prove:

A: The proof of the statement is given in the explanation part.Explanation:Steps and explanations are…

Q: Consider a Poisson random graph of average degree c = 100. You observe a node with a 500. How many…

A: The objective of this question is to determine how many standard deviations the observed degree of a…

Q: Y Suppose w = =+ where Y Z 5t, y = 2+ sin (4t), and z = 2 + cos (3t). x = e5t A) Use the chain rule…

A: By using chain rule, we will solve the given problem.

Q: Find a general solution to the differential equation using the method of variation of parameters. y'…

A:

Q: Solve the given initial-value problem. y′′′ + 18y′′ + 81y′ = 0, y(0) = 0, y′(0) = 1, y′′(0) = −8

A:

Q: Use the following procedure for the recurrence relation an=2nan-1 with the initial condition ag = 3.…

A: (a) Given  (i)and (ii)Formula for n!n! = n (n-1) (n-2).....1Here,

Q: can you explain how they simplified using the chain rule

A: The chain rule is a fundamental concept in calculus that allows us to differentiate composite…

Q: 2. Follow Archimedes' ideas to approximate pi, the ratio of the circumference of any circle to its…

A:

Q: Solve the given differential equation by undetermined coefficients. y'' + 2y' = 2x + 9 - e-2x

A: The objective of the question is to solve the given second order linear differential equation using…

Q: Estimate a range for the optimal objective value for the following LPs: *(a) Minimize z = 5x₁ + 2x₂…

A: NOTE: As per the guidelines, we are supposed to answer only one question with 3 subparts in a single…

Q: Evaluate the limit along the stated paths, or type "DNE" if the limit Does Not Exist: xy + y ³ lim…

A: We have to evaluate the following limit along the stated paths, if it exist.Along the path .Along…

Q: Let Compute θω Əs δω Ət -(-3,-4) (-3,-4)= = w = -5xy + 4yz - xz, x = st, y = est, z = t²

A:

Q: Let x, y, and z be real numbers. Prove the following a. -(-x) = x b. (-x) * (y) = -(xy) and (-x) *…

A: I have provided detailed proof for each question in the Explanation section.Explanation:Let's go…

Q: 7. Compute Res ( 1 z(eº − 1)’ ;0).

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1:

Q: 5. Theorem 4.27 says that if ƒ : [a, b] → R is Riemann integrable then ƒ² : [a, b] → R is Riemann…

A: The objective of the question is to determine whether the converse of Theorem 4.27 holds. The…

Q: A meat processing factory performs tasks by a series of 4 operators. Below table lists for each of…

A: The table for each of the four resource pools, the unit load, and the number of resource units are…

Q: Find a set of vectors {u,v} in R4 that spans the solution set of the equations  { w-x+2y+3z = 0 {…

A:

Q: Consider the following nominal annual interest rate. 5% compounded quarterly = Determine the…

A: rnom or nominal rate of return=5%m =4 reff =0.0509  (Rounded to four decimals)Effective annual…

Q: 11. Solve the differential equation y" - 8y' +16y = 16e4t, subject to y(0) = 1 y'(0)=2. Using…

A:

Q: Let D= {1, 2, 3} = C. Either define functions f: D → C with the following properties or assert that…

A: Given D = {1,2,3} = C.We have to define function f: D → C with the following properties or assert…

Q: In a harbour, there are 2 landing places. Ships arrive at a rate of 8 per day (exponentially…

A: The arrival rate of ship =8 per dayLoad or unload rate of the ship The profit made by the company…

Q: -1 (3) There exists a multiplicative inverse, say z, in C, the set of complex numbers. That is, you…

A: We have to show that there exists z-1 in C such that zz-1 = l and z-1z = l for every z in C( Here I…

Q: ∞ 3. Define rN=S-SN= Σ n. Show that Σ n=N+1 n=0 Zn = s if and only if lim || = 0. N→∞

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1:

Q: Let ← || 8 N -6 Plane 2 and V₂ = 12 3 -9 then the geometric description of Span {V₁,V₂ } is A set of…

A:

Q: For this question, you will prove that the roots of z² +6z+8.5 are irrational. In other words, that…

A: We need to prove that roots of  are irrational.

Q: Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile…

A: (a) The constraint limiting next week's production of the 4-cylinder connecting rods to either 0 or…

Q: 1. Use graphing techniques to solve this linear programming problem. z = 3x₁ + 2x₂ 3x₁ + 3x₂ ≤ 66 x₁…

A:

Q: F(x,y,z)= and C is parameterized as r(t)= you may assume VXF=0

A:

Q: Find the edge chromatic number of Kn when n is positive integer.

A: We have to find the edge chromatic number of  when  is positive integer.

Q: 1 2 I - du dx du - dx = du dy +3 du 一 dy Solution of Partial Differential equation By Separation of…

A: Note: ''As per guidelines we will solve the first question. If you want any specific question to be…

Q: Assume that 3xVy P(x, y) is false and that the domain of discourse is nonempty. Which of Exercises…

A: Given that  is false and the domain of discourse is nonempty.We need to identify that which of the…

Q: The legislature in a state has 49 seats. Apportion these seats to the five counties below using the…

A: Given Information:The legislature in a state has 49 seats.The seats is filled across 5 countries.The…

Q: (2) Consider the following LPP in canonical form: maximize subject to a₁x₁ ++ anxn+y=t=b x1,, xn, y,…

A: The objective of the question is to find all Basic Feasible Solutions (BFS), basic directions at the…

Q: 2.2.1. Prove that each of the following sequences converges to zero. write a) xn =…

A: We have to show that the following sequences  converge to zero.

Q: Solve the given differential equation by undetermined coefficients. y'' -  8y' + 20y = 200x2 -…

A:

Q: for the O.D.E. Q₁ (A) Determine the value of y رينج كوتا two step. when X=1 given that y(0) = 1…

A: Given that ,   and           Let    Fourth order R-K method,…

Q: 10. Use Laplace Transforms to solve the following differential equation linear with constant…

A:

Q: 5. Solve the one-dimensional wave equation for a string of length 10 units, fixed on both ends, with…

A: The wave equation is ytt=a2yxxGiven conditions:a=3y(0,t)=y(10,t)=0y(x,0)=x , yt(x,0)=0

Q: 85 Download 235 review topics.pdf (704 KB) k/courses/37010/files/13546023?module_ite... 1 Edexcel,…

A: Q1. Amanda wants to buy a new mobile phone. She sees these two offers for the same mobile phone.…

Q: 13. Calculate the Fourier series in the sines of the function f(t)= t³ in the interval [0]

A: Given function is we have to find out fourier sine series for given function.for that we consider…

Q: A 8-member ABC Alliance is being created to represent groups A with 5 thousand, B with 3 thousand,…

A: Given Information:8 members are needed to apportion on ABC Alliance.A is of 5 thousand people, B is…

Q: デジタル形式で段階的に解決 ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT 4. Find the solution of the differential…

A: A differential equation of the form  is called exact DE iff  and the general solution is