If x² + x = 1 Find 8 + 5* x+1

Q: Evaluate the following integral: Ca-ex ·e¯³) dx a. Analytically b. Trapezoidal rule c. Composite…

A: As per our guidelines we are allowed to answer only three subparts of a given question. Kindly…

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Q: S x² e¹x dx

A: EVALUATE USING INTEGRATION BY PARTS  For the function x2e4x .

Q: Determine the modulus and the principle argument of the following complex number: (2 + 4i) (2 + 2i)…

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Q: -1.5 -4.5 -1.5 Let [ f(x)dx = 5, |_^*^* f(x)dx = 6, [*¹*³ f(x)dx = 5. -6 -6 Find and -3 [²₁ f(x) dx…

A: This question is related to definite integration, we will solve it using given information.

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Q: where a = and b = 16 10% f(x) dx = f* f(x) 10 24 [*1 (2) dz - f(2) f(x) dx

A: To find the value of a and b.

Q: 6. Find the area of the region bounded by x = y³ − 4y² + 3y and the x = y² − y. 77 (a) A= square…

A: The region is bounded by the curve x=y3-4y2+3y and x=y2-y

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A: For the given sequence, If limit of the sequence at n -> infinity finitely exist, then we'll say…

Q: 4. For the series Σ=1+()", does it converge and if so what does it converge to? * n²

A: We have to check that series 1/2*(2/5)n  where n=1 to infinity. Is convergent or divergent.

Q: Find the solution of the initial value problem. y” +36y = 0, y(T) = 6, y¹ (7) = == Sketch the graph…

A: To find out the solution of the differential equation.

Q: Evaluate the following antiderivatives. 2dx x ln x S

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Q: s sin xv9+ cos2 xda xdæ

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Q: Q1): Determine the general solution of the O.D.E: (1-x) y'-y²=0

A: The given differential equation is:  1-xy'-y2=0   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ;…

Q: Find the derivative of f(x) = (-x³ - 2x² - 2x) sin(x). Do not include "f'(x) =" in your answer.…

A: Topic = Derivative

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Q: Solve the initial-value problem. x(t) = x" + 3x' + 2x = 1 + t², x(0) = 0, x'(0) = 2

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Q: 12. Integral x² dx x³ +4

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Q: Let (w, x, y, z) = wxy + x² tan z and a = (1, -2,3,4). Then w(a): .₂(a) = -6 -2 8 60 -8 1-1 2 , (a)…

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Q: Find the general solution of the following differential equation. y" + 13y' + 42y = 0 NOTE: Use c₁…

A: The objective of the question is find the general solution of the given differential equation.

Q: CHECKPOINT 1.13 Find the average value of f(x) = 6 - 2x over the interval [0, 3] .

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Q: 4. xy = COS (²) + +1

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Q: Method of undetermined coefficients. y" -y = 3ex ○ y = c₁e² + c₂e²=* + ²/xe* O y = c₁e* + c₂ex +…

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Q: a. Use limits to find the derivative function f′ for the function f. b. Evaluate f′(a) for the given…

A: The given function,    fs=5s3+3s, a=-3

Q: 5. Test the ff ODE for exactness and find the general solution of the DE (2x + 3y) dx + (3x + 4y)…

A: To solve Differential equation.

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A: If A and B are two matrix then matrix AB is defined only when  (A) A and B are of same order (B) The…

Q: Using the two points (x,y) and (x₁,51) to find Lagrange interpolating polynomial, L.(x1) is always…

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Q: Q2) A: By using partial method solve [2x² cos x dx

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Q: Solve equation: 4 sin x + 3 cos x = 5

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Q: 2/ Find the limit of the function lim X415 хъ Ч 2 X

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Q: If u = 4j – 2k and v = 2ỉ − j + 7k, find ú.v. Select one: O √110 O-18 O √18 O 18

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Q: Find the absolute extremum within the specified domain. 21) Minimum of f(x)=(x2+4)2/3; [-2,2]

A: According to our policies we are allowed to solve one question at a time. Kindly repost other…

Q: : Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3)

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Q: If f(x, y) = x²y + x sin y, then is af dx Select one: 2xy + sin y x² + x cos y ₂2 O O x² + sin y O…

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Q: B = By using the result of det(A) (A) Find the value of det(B) (B) without use the def (det) if 3 4…

A: According to question,Given MatrixA = 123456101

Q: B: solve the system of equations by Grammer Metho 3x₁ −2x₂ + 4x3 = 19 x₁ +5x₂ −x3 = -12 x₁ + 2x₂ +…

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Q: 6. Integral Df ef

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Q: [sin x √9+ cos² rdr

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Q: Evaluate each integral. √x+Yy dz Jx - "X rx + y 0 Jx-y y dz dy Now evaluate J = = y dV, where E =…

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Q: 16. A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over…

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Q: Evaluate the following antiderivatives. S 4x dx 4e e8x +4

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