6. Evaluate the following real integrals by residue theorem 3 • I- 88 151 +47 O dx (x²+1)(x² +9) ans 12 the

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Q: Which of the following graphs is the correct plot of y=- 2 cos(x)? -5+ 3 2 -1 -3 -5 -3 -2 --2 -3…

A: Please see the below picture for detailed solution.

Q: ¡ (ew - 3) dw? O ew - 3w+C O - ew + 3W + C O -ew - 3W + C O ew - 3+ C

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Q: 11

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A: We need to fill in the blanks.

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A: As per our norms we have to write one question at a time kindly repost remaining questions.

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Q: Зу" +y=0.

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A: Find the derivative

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Q: Write an equation for the function graphed below -7 6 5 4 -3 -2 y= 50 on it'st 72 3 Q

A: Topic = Functions

Q: 9 P cost D2 + 1 }; రె 2 cos²x T+a {

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Q: Evaluate fx² Arcsinxdx

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Q: -10 -10 10 (c) Describe the relationship between the graphs. The graphs off and f" are reflections…

A: Let's solve for c part.

Q: (b) Determine whether the series n=1 n 3n+2 n is convergent or divergent.

A: See this solution in below

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A: Explanation of the answer is as follows

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A: Given Price of ticket for first 100 skiers = $20 Discount in the price of ticket for skiers over 100…

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Q: | (8z + 4z³ - 6z²) dz? O 16z²+z4-2z³ + C O4z²+z4-22³ + C 16z²+z4+ 2z³ + C O 42² +224 + 2z³ + C

A: Solution: ∫8z+4z3-6z2dzApply the sum rule=∫8zdz +∫4z3dz -∫6z2dz

Q: 7. Determine the intersection, if any, of the planes with equations x +y-z+12=0 and 2x + 4y - 3z…

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Q: y" - 12y' + 36y = 12x + 3 nd the complementary function for the differential equation. _(x) nd the…

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Q: Find the integral of So 7x+2x² (x-4)(2x+3X2x+1) dx

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Q: Given differential equation y""-ay" -4y' + 8y = e²-³x +8x⁹ (D³ - 20² - Auxilary equation 2 4D +8)y=e…

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A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

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Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

A: The given function is fx,y=x2+y2+6x-18y+3

Q: Solve the following ODES by Undetermined Coeff 11 X 4X y 16 y = 19.2 € + 60 e - , уса) =ўс=0 THY 4X

A: This is a problem of ODE. Please follow the procedure given below.

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Q: 2) y" - y' — 6y = 0. бу

A: Follow the procedure given below.

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Q: ₁ and w(x) = u(x). hod of reduction of order to find a second solution y₂(x) of the homogeneous…

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Q: Find the centroid of the region bounded by the graphs of the functions y = 3x², y = x² + 4 The…

A: Centroid Of the Region :           x¯ = 1A∫x=ax=b xf(x)-g(x) dx  and   y¯ = 1A∫x=ax=b 12fx2-gx2 dx…

Q: 23. Express each of the following as a logarithm. Use a calculator to evaluate your answer correct…

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A: Here we have to sketch the graph and then finds its domain and range.

Q: 13) x+2 x+4, Which inequality is equivalent to *-*+4? = x-3 x+1 a. treb. 2x² + 4x-10 (x-3)(x+1)…

A: This is a problem related to linear inequalities. Please follow the procedure given below.

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Q: 1. 9x2 + 4y2 = 36 2.222² 쫑 = 1

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Q: Decide which of the two given functions is linear and find its equation. 12 3 4 X 0 f(x) 9 14 g(x)…

A: Topic = Functions

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A: Given general solution of the equation y=C1e-4x+C2e-2x

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