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Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √x + 4 and x - 2y +…

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Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √x + 4 and x - 2y + 4…

A: Given problem:- Calculate the volume of solid of revolution when the region bounded by y = √(x + 4)…

Q: 16. √(16-9x²) dx 17. dx/ (9x² + 4) 18. sin³ x cos x dx 19. f (secs x) dx/csc x 20. Stan² x dx

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Q: Prove that the following functions u/v are harmonic; then find the conjugate harmonic function v/ u.…

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Q: Consider the function y = (2x+1) e³x. Find the extreme value (or values) of the function (classify…

A: Given problem:- Consider the function y = (2x + 1)e3x Find the extreme value (or values) of the…

Q: S dx (x²+2x+10) ²

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Q: Instructions 1. Write your complete solution for each item. It should be handwritten. 2. Make sure…

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Q: 5. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = X. 4 f(x)= = and g(x)…

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Q: S I (s - 2)² Option 4 Option 3 ★ Find laplace transform for -| (s-3)2 Option 1 O Option 2 O

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Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: find The angle of the triangle whose vertices are C(1,-2, 2) Points AC-1,0,2) B (2,1,1) A B

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Q: 5. Find the length of the curve = = = (1 ²+2) X=- 3 9 0≤ y ≤ 4

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Q: Solve the following initial value problem for r as a function of t d²r Differential equation:…

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Q: Find the final value of the system corresponding to

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Q: Find the limit or show that it does not exist. lim √25t² + 2 − 5t t-x

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Q: 2x³ − 45x² + 300x + 6 has one The function f(x) = 2x³ local minimum and one local maximum. This…

A: Given: Axis interception points of 2x3-45x2+300x+6:  X Intercepts: -0.01994…, 0, Y Intercepts: 0,…

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y + 15y = 2 sin (3t), y (0)…

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Q: integrate using partial decomposition (y^2)/(y+1)(y-1)

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Q: Investigate if the integral is convergent or not. Justify your answer.

A: Given:     ∫1∞dx1-x   Substitute u=1-x→dudx=-1                dx=-du   =∫1∞-1udu

Q: 3d8 √93

A: Here we have to solve only part d

Q: cos e de sin² 0 + 4 sin 0-5

A: To evaluate the given integral.∫cos θ dθsin2 θ+4 sin θ-5

Q: * The z-transform of a signal is given below,its final value z¯¹ (1 - z-4) x(z) = 0.25 (1-z-¹)² 10…

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Q: 2. If F = (3x² - 3yz)i + (3y²-3xz)-(32²-3xy find div curl

A: Given problem:-

Q: 3) (11x + 17) dx 2x² + 7x - 4 S

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Q: 5x lim x→0 sin 3x

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Q: 1) e5Ln x+4Lny-Ln z 2) 2Ln√x+2Lne√ - 2Lne* QV² + 2²

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Q: Solve the following Differential Equations with Laplace Transforms y" - 6y + 15y = 2 sin (3t), y (0)…

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Q: A while than 15t 7-47 / र

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Q: Question 4 (a) Solve the following: √4x¹dx (b) Explain with the aid of a sketch how this value can…

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A: We have to use the Euler method

Q: Consider h(x, y, z) = ln (xy) —sin (y²)+e** at the point P (1,1,0). 1 the following: (a) the…

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Q: (D4 - 1)y = 7x².

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Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

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Q: solve the differential equation for initial value problem using the method of undetermined…

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Q: The table below shows values for four differentiable functions. Suppose we know the following…

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Q: Q3) Given, u (x, y) = xy is harmonic, find a harmonic conjugate v(x, y), write u+iv as a function of…

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Q: Find the point(s) on the surface y2-xz = 4 that are closest to the origin and find the minimum…

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Q: Consider the following. √u-5(6 - ² + ¹0) du Simplify the integrand by distributing u-5 to each term.…

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Q: 15. f (sec² x) dx / (√(1-4 tan² x))

A: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should be…

Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Classify the critical points of h(x, y) = x²y + xy² + x²y² + xy³ found in the previous Question by…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: 1. y" + 3y = 18x², y(0) = -3, y(0) = 0

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Question 5 limx→→+∞ (1 + ¹)² O ll SO III OIV O Not Indeterminate

A: Please mention also what the first four options wants to represent here ...as correct answer is e .

Q: 4. The equation of a plane is [x, y, z)=[-1,-1,1]+s[1, 0, 1]+[0, 1, 2]. Find the - intercept of the…

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Q: P3: Calculate the volume of solid of revolution when the region bounded by y = cos x and x² - y - 2…

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Q: a) b.) O F+ x dx (x³ +1) ³ 3 Sinx sin 2x dx 2 cos x

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Q: 9) Ур H Asin(2t) + Bcos (2t) Q13) The general solution for y' a) = 3x² + c b) = y Q14) The solution…

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Q: Find the normal line to f(x) = ax² - 4ax at x = 3. Assume that a is a positive constant. Next…

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Q: Evaluate the triple integral 9(z, y, z) dV over solid B. B B = {(x, y, z) | 5² ≤ x² + y² ≤ 7², x ≥…

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Q: Evaluate improper integrals if they converge, or 1/7 a) S. 72 de dx shab diverge

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…