Find the area of the region under the given curve from 1 to 4. x² + 1 y = 2 5x − X

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Q: Find a · b. a = 2 = (3, 1, 1), b = (7,-5, -6)

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A: Step 1: Formulas used    Step 2: Step 3: Step 4:

Q: please solve problem 4. Thank you

A: (b) Solve the differential equations provided in (a) for Rt.To solve the differential equation for…

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Q: Which of the following is a solution of the initial value problem √ y ln(y) dx + x dy = 0 \y(e) = e…

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Q: Consider an object moving along the parametrized curve with equations: x(t)=e² + e², y(t)=-* where t…

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Q: Inverse laplace transform Lect: Huda I H.w 1- F(S)= A- Find - F(s) of the following S (s+1)5 1 2-…

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A: The Trapezoidal Rule is a method for approximating the definite integral of a function. It works by…

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A: From the given table, we can see that the Maclaurin series for cos(x) is Σ((-1)^n * x^(2n) / (2n)!)…

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Q: Question 1 Reverse the order of integration to calculate .8 .2 A = = So² Son y1/3 cos² (x²) dx dy.…

A: 5. Calculating sin(A):Let A = (3/8)(16 + (1/2)sin(32)) A ≈ 6.238sin(A) ≈ sin(6.238) ≈ 0.894

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Q: solve the equations by Laplace?- 1 Σ(s² - 1)u(s) + 5sv(s) = 2, (4) System 2 -2su(s) + (s² - 4)v(s) =…

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Q: For what value of the constant a does the substitution u = ya converts the differential equation -t…

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Q: In the attached graph of f', and given that f(0) = -4 a) Approximate the slope of f at x = 4. b) Is…

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Q: A particular solution of y" + 2y + 2y =-3 cos(t) +7 sin(t) is given by Yp(t) = A cos(t) + B sin(t)…

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Q: Show all steps. Correct flow: -4.5. Correct flux is 4.5

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Q: Find the value of the integral: ∬xysin⁡(x)cos⁡(x) dA where the region R lies between the graphs of…

A: Note : • sin(5π)  = sin(2*2π + π) = sin(π)• cos(5π)  = cos(2*2π + π) = cos(π) (Since period of…

Q: Match the following vector fields with their plots below. 1. F(x, y) = 2. F(x, y) = (0, x²) (x − y,…

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Q: Determine whether the series is convergent or divergent. (-1)+ + 1 n+8 n = 0 Identify b Evaluate the…

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Q: use the Laplace transform to solve the initial value problem.

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Q: Find 8 lim x +4 (x, y) = (0, 0) (x² + y²) by converting to polar coordinates. L

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Q: f(x, y) = x² + y² − 2y + 1; R = {(x, y): x² + y² ≤ 4}

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Q: 3. Submit answer Practice similar Calculate the integral approximation Se for So dz. L-de 4 1.…

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Q: Let f(x) = - 2x^3 + 15x^2 - 24 x + 5 be a given function then find, A) all the intervals at which…

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Q: 1. how do i find the value at which f is discontinuous and is f continuous from the right, or from…

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Q: Explain to me why the answer is: 4a⁷b⁶ if not then defend yours

A: The problem is asking us to simplify the expression (4a3b2)(-2a2b2)2 using the laws of exponents.

Q: 7) The growth of corn leaves is modeled by the equation: A(t) 105 = 1+32900e-.04t Where A(t) is the…

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Q: Use series to evaluate the limit. lim sin(2x) - 2x + .5 4 + 3

A: Step 1:To evaluate the limit using series, we will use the Taylor series expansion of sin(2x) and…