: Find the limit by using l'Hôpital's Rule. tan x sec 2x lim-o 3x

Q: (1) 2xy + y² = 2x² separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y…

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Q: 2 4 Let y = D-0 3. -1 -3 Find the best approximation to y in W. Computation: 20 and ₂ = 5 -2 4 2 -…

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Q: A- Full in the blanks of the following: for x = 1,2,3,4,5. 1- If given a p.m.f f(x) - 0. W Then the…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: Suppose h(x) = x² - 4x³. Which one of the following is true? Select one alternative: ○ The first…

A: If the derivative of the function is positive in a interval then the function is increasing And If…

Q: A car company performed an experiment to accurately describe their new vehicle's gas mileage. The…

A: Given :

Q: Find the solution in the form of Fourier integrals: U₁-3 = 0, uz (0, t) = 0, |u(x, t) bounded as…

A: We have the following partial differential equation : ut - 3uxx = 0  , x,t > 0 With boundary…

Q: 3. a. es ¸²-²5 S Find the inverse Laplace transform of each of the following functions. 5s² - 3s +31…

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Q: olve the following system of linear equations: 5x1-5x₂ = 5 x1-5x3 = -4 of the system has infinitely…

A: We solve given system by finding the values of x1, x2, x3.

Q: Use the method for solving Bernoulli equations to solve the following differential equation. 1 3 dy…

A: We solve given  Bernoulli's equation.

Q: 3. Determine the vector equation for the line with symmetric equations*=3+22=1

A: Given: Symmetric equation of line: x-34=y+25=z-13 To find: Vector equation of line.

Q: Determine the values of r for which the differential equation y" - 25y = 0 has solutions of the form…

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Q: Which of the following is not a plane? OF- (1,3,4) + s(2,-1,2) + (1,1,1), s,t e R OF-(2,4.2) + s(1,…

A: To Find: Which of the given equation is not of a plane.

Q: Define T: R² R² by T(x) = Ax, where A is the matrix defined below. Find a basis B for R² with the…

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Q: 2.) Solve using 6 steps of the Euler's method, Improve Euler's method, and Runge-Kuta methods.…

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Q: Compute the limit lim N-∞ N-1 II k=1 COS #k 2N 1/N

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Here we use the integrating factor to find the solution of differential equation. And to solve the…

Q: Build the least common multiple of A, B, and C using the example/method in module 8 on page 59&60.…

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Q: Hello I am stuck on a homework problem for the question of trying to prove that for any integer…

A: We have to answer the question.

Q: x-2x + x = 15; x (0) = 7, x (0) = -16 hand written plz

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Q: Example 1: A large tank holds 350 gallons of brine solution with 38 lbs. of salt. A concentration of…

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Q: A cable television firm presently serves 7500 households and charges $45.00 per month. A marketing…

A: Given, Cable television firm presently serves 7500 households and charges $45 per month. Given, Each…

Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

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Q: H.W: Calculate the Fourier series for the waveform 27² 4(-1)" Ans. ao & an 3 n² = - t² wi M -2π -π…

A: Given  ft=t2, -π≤t≤π

Q: Prove that √ ²07²dx = √= So e

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Q: Helicopter Task Introduction: An observer at Point A makes measurements that show that the peak of…

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Q: 3. 기<2 ga-호= f(x)는 기준을 ㅎ(ㅈ~ㅎ)

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Q: Using the Laplace transform, solve the IVP. y₁ (t) 32(t) = = y₁5y1 - 4y2 - 9t² + 2t, y2 = 10y1 - 7y2…

A: Use the following formulae, to obtain the solution.…

Q: Write the equation z = 4-√√x² + y² in spherical coordinates. Op=4-tan(d) 4 P = cos(p) + sin(0)…

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Q: Which of the following is the vector equation of a plane that contains the line x-3y+2 2-1 5 -23 and…

A: We know r→ = a→+s→+t→ From the equation of line, we get a→ = 3i^-2j^+k^ or we can write it as 3, -2,…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Consider the function shown in the figure. Find Fourier Series expansion: f(x) = { -R5X50 0≤x≤ f(x +…

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Q: Show that the following functions are contin- uous but not differentiable: (a) z (b) |z² (c) Imz (d)…

A: Since you have posted a question with multiple sub-parts , we will solve first three subparts for…

Q: Find a particular solution of the indicated linear system that satisfies the initial conditions X₁…

A: given with

Q: Using Euler's method, find the approximate values of the given initial value problem y = 5-2√y, y(0)…

A: Given: y'=5-2y To find: Solution

Q: The solution of the differential equation by variable separable method dy (1+y²) (3z²+6) dz 1³ +62…

A: Given :  The differential equation is ;   dydx = 6 1+y23x2+6x3+6x To find : The solution of the…

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: The solution is given in the next step.

Q: 2. A line passes through the points P(4, -3) and Q(6,2). Write the following equations of the line:…

A: Given the points  P(4,-3), Q(6,2)

Q: H (a) f(0) (b) f(2) (c) f(3) = (d) lim f(x) = X--1 (e) lim f(x) = (f) lim f(x)= (g) lim f(x) = X10

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Q: 6. Find the rank of the following matrix. (Using elementary row opera 1 2 -1 A= 2 0 3 13 6 -3/

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Q: Write the following integral in polar coordinates (do not evaluate the integral). Make sure to…

A: see my solution

Q: Match the given differential equation with one or more of the solutions. (Select all that apply.)…

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Q: abouis 13. Let (G, *) be cyclic group of finite order n and let a € G. Prove that ak is a generator…

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Q: Let A be a 2 × 3 matrix, B be a 2 × 3 and C be a 3 × 2 matrix. Which of the following could be ABT…

A: Using the definition of transpose of matrix, we have proceeded the given problem as in next step.

Q: Solve the following: Each question is either separable or linear: y' In|y| + x²y = 0

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Q: A cheese firm produces two types of cheese: swiss cheese and sharp cheese. The firm has 60…

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Q: Find the general solution of the given differential equation. 3. + 15y = 5 dy dx y(x) = Give the…

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Q: (Dirichlet's function) we define f(x) d, if 1: = x is aration number otherwise, xe [0,1]

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Q: Consider the relation y=-3x+5. Which of the following statements about the graph of this relation is…

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Q: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 1 x² + 2xy dx…

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