> Evaluate [ ²(x² + y²) dx + (x + y)²dy C › C is the triangle with vertices (1,1), (2,2) and (1,3)

Q: 2. Repeat the problem about the collision points discussed in recitation but this time describe what…

A: The position of first particle is given by, x1=3sint, y1=2cost, 0≤t≤2π. the position of second…

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: Calculate and simplify as much as possible the perimeter and area of the entire figure at the right.…

A:

Q: You owe $2300 on a credit card with 21% APR if you pay $80 a month, how long will it take you to pay…

A: Formula for the loan amortization is  A=Pi(1+i)n(1+i)n-1 where A=periodic payment P=loan amount…

Q: Consider the curve C: y=cos x. You may assume that for all values of x = [0,/2] the curve C lies on…

A:

Q: 10) Suppose that r is a fixed constant and ao, a₁, a₂, ... is a sequence that satisfies the…

A:

Q: 1) i) Add the two following sine wave forms together using the compound angle and combining…

A: The given sine wave functions are v1=asin10πt and v2=bsin(10πt). The given values of a=0.3, b=0.8.…

Q: During a certain flu epidemic, the total number T of patients diagnosed with the flu after d days is…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: without solving given the differential equation, find the minimum radius of of series solution power…

A:

Q: Consider the equation 12 sin x = 6 √2 for real values of x. a) A student states that this equation…

A:

Q: A biologist recorded a count of 360 bacteria present in a culture after 5 minutes and 1300 bacteria…

A:

Q: prove or disprove the following statement: “If n is an odd integer, then n^2-n is odd"

A:

Q: Problem 17.33: Let I, J be ideals in a ring R and define their sum I + J as I + J = {x+y: € I, ye…

A:

Q: The day-to-day changes in weather for a certain part of the country form a Markov process. Each day…

A: Using the given data, we can form the transition matrix as T=0.70.30.60.20.50.20.10.20.2.

Q: Developing: Approximate R'(45). What are the units of the answer you got? R(1) (minutes) (gallons…

A: As per the question we are given the following data table : x R(x) = f(x) 0 20 30 30 40 40…

Q: Find a power series representation for the function cot^-1 x. Find the radius of the convergence and…

A: The given problem is to find the power series representation for the function cot-1x and also to…

Q: Give an example of each of the following or prove that such a request is impossible. infinite family…

A: Here we have to give an example or prove that such a request is impossible. e) infinite family of…

Q: Is there any chance you can show me how to do this with LP in excel?

A: The solver function in Excel is used to solve or optimize any equation (linear or nonlinear) or a…

Q: The value of a machine, V. at the end of t years is given by V = C(1-r)'. where C is the original…

A:

Q: . Starting with the transform L{1} (s) = 1/s, use for- mula (6) for the derivatives of the Laplace…

A:

Q: The number of supporters of a volleyball team, n, grows at a rate proportional to its size, so that…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: The following graph shows the average American household debt h as a function of the date d.…

A: Given h(d) represents household debt as a percentage of disposable income.

Q: f is a function with the following Fourier coefficients on the interval [-] Jag=0 a₁ = 0b₁ = | 0b₂ =…

A:

Q: Let A and B be sets. Prove that A union B = A intersection B if and only if A = B.

A:

Q: Solve the initial value problem below using the method of Laplace transforms. y" + 8y' +12y=90e³t,…

A: Solution given below.

Q: ju(x) u(x) = secx + tanx - 1. se sec tu(t)dt

A: Note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: B D С A F E G

A: 1. for a trail or circuit to be a Euler trail or circuit. An undirected graph has an Euler trail if…

Q: In P2, find the change-of-coordinates matrix from the basis B = {1+ 3t², -3 +t-8t²,1 - 4t) to the…

A:

Q: The linear tranformation L defined by maps P₁ into P. (a) Find the matrix representation of L with…

A:

Q: (c) m m dx" Prove that: [ex ‚F₁ (a:c:x)] = (-1)" (c − a) „e¯×‚F₁(a;c+m;x).

A:

Q: Use the divergence theorem to write a triple integral that is equivalent to the flux integral - = 64…

A:

Q: Zia resides in Calamba, Laguna, and has a job at McDonald that is located 2.3 kilometers away from…

A: Given :  The distance of Zia from her office and home.   To find : An Effective route for Zia to go…

Q: Let f be a function of x defined by ex f(x) + 15x-9x² =0. The derivative of f at x is f'(x) =

A:

Q: The population of a certain city was 16000, then 5 years later the pouplation was 28000. Part 1…

A:

Q: 46. Find the order of 7 modulo 172.

A:

Q: Use the crossing-graphs method to solve the given equation. (Round your answer to two decimal…

A:

Q: The population of a certain city was 26000, then 5 years later the pouplation was 40000. Part 1…

A:

Q: Solve the initial-value problem given J= x³ ex², y (0) = -1 give the largest interval i over which…

A: The given problem is to find the solution for the given initial value problem with given initial…

Q: Let 1= [t I Evaluate the integral I defined above. Use C for the constant of integration. Note that…

A:

Q: Consider the following 3 x 4 matrix A and its Reduced Row Echelon form, denoted U. [10-4 1] [120 1]…

A: The two given matrices are A=120101201201, U=10-4101200000 1. To find a basis and dimension for the…

Q: (b) Let f [a, b] → R be a function which is continuous on [a, b] and differentiable on : (a, b).…

A:

Q: 1. Let f: Z/4Z → Z/2Z × Z/2Z be defined by f([0]) = ([0], [0]), ƒ([1]) = ([1], [1]), f([2]) = ([0],…

A:

Q: Let f: Z/4Z → Z/2Zx Z/2Z be defined by f([0])= ([0], [0]), ƒ([1]) = ([1],[1]), f([2]) = ([0], [1]),…

A: We see,         [2] = [1] + [1]    but, f([2]) = ([0], [1])          f([1]) + f([1]) = ([1], [1]) +…

Q: a) After determining the total product cost of P100.00 per unit, Mr. Rick the owner, decided to set…

A: According to the guideline, only one question can be answered. Please repost other question…

Q: a) Integrate the function f(x, y, z)= yz over the part of the sphere x² + y² + z² = 4 that lies…

A: The given problem is to integrate the function f(x,y,z)=yz over the part of the sphere x2+y2+z2=4…

Q: Use a Proof by Contradiction to prove that there is no integer a such that a congruent 5 (mod 14)…

A:

Q: Write x as the sum of two vectors, one in Span {₁,2,3} and one in Span {u4). Assume that {u.....4}…

A: The given vectors are u1=01-6-1, u2=5711, u3=101-6, u4=7-5-11, x=11-540. The set {u1, u2, u3, u4} is…

Q: Q2D. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {[a, b},…

A:

Q: Find the unit tangent vector, unit normal vector, and unit binormal vector given R(t) = ti+t²j+t³k…

A: