y''-5y=sinx

Q: 6x² + 5x + 16 S x3 + 3x² + 2x + 6 5 Injx+31+ In (x² + 2)√2 tan ¹() + C Option 1 5 Injx +31+ In (x² +…

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Q: Analyze and sketch the following curves.Indicate the intercepts, asymptotes, and critical points

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Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = x²i+…

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Q: 10 What is the 6th term of (x − 1)¹⁰-

A: Please refer to the image below

Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. (Simplify your answers completely.)…

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Q: trahedron enclosed by the coordinate planes and the plane x+2y+z= 8.

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Q: S eln (1-t) 1-t - dt ed to you in any form

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Q: -4 -3 -2 -1 NWA -1

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Q: y = log sin x (csc 4x)

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Q: The area bounded by the parabola x²- 2x+y=3, the y axis and the line y=4 revolves about line y=4.…

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Q: Find the equation of tangent line to Graph of f(x)=3 x In(5x-4) at point where x=.1

A: Solution:

Q: 3* - 128 12/8 256 (Sin 2x) + 1024 (sin 4x) - Sin³2x 1900 320 0

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Q: In cylindrical coordinates, the equation below describes what? O a vertical plane O a horizontal…

A: Given :   r=5

Q: n Express the function n, lim 21³ n→+∞ n5 i=1 and then find the limit. in closed form

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Q: Use DeMoivre's theorem to compute (1+i)¹²

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Q: (a) Find the general solution of each of the differential equations: dy 8e2x - 4x dy dx = 12e - 10y…

A: Solved below.

Q: A pilot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The wind is…

A: Let's solve all given questions.

Q: Find the area of the region bounded by y = 3x - x² and the x- axis. 9/4 9/7 9/2 9/5

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Q: In spherical coordinates, the equation below describes what? O a plane O a cone O a sphere O a…

A: topic- spherical coordinate system

Q: Set up the iterated double integral in polar coordinates that gives the volume of the solid enclosed…

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Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis. 1/3 3 1/9 9

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Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a circle of radius r =…

A: We have to find dimension of rectangle which maximize the area of given rectangle.

Q: In Exercises 1 and 2, compute the solution of the given IVP. d²y 1. +9y2 cos(3t), y(0)=2, y'(0) = -9…

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Q: The given integral is equal to cos 3t dt 5 + 3 sin 3t O (1/3) In 15 + 3 sin 3t| + C O (1/9) In 15 +…

A: To find out the integration.

Q: 1 2 In|2|

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Q: 2. If g(x)=√√3-x and f(x) = x³ +1 evaluate the following: gof(-1) b. (g-f)(2)

A: Given, g(x)=3-xf(x)=x3+1

Q: 6 F 0 28inx Cask ex

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Q: Assume that x and y are both differentiable functions of t and are related by the equation y = cos…

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Q: Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

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Q: Let F be the vector field defined on the plane by F(x, y) = (x¹+3y, 6x - siny). Let C be the unit…

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Q: A 29-ft ladder leans against a building so that the angle between the ground and the ladder is 77°.…

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Q: Which of the following are parametric equations for the entire unit circle? Choose all that apply.…

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Q: et (e2t + 8et + 7)² 3 dt

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Q: ) Approximate ſ*^*In(y +1)dy with a midpoint Riemann sum using three equal subintervals. 1

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Q: 3. y = logsin x (csc 4x)

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Q: USING DISC METHOD Find the volume of the solid obtained by rotating about the y-axis the region…

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Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤b, 0≤z≤ 1, find the one for…

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Q: a rocket ship is climbing at the rate of 610 ft/sec when it is at 4600 ft it is tracked by an…

A: y is height, x is distance between camera and launching pad  dx/dt = 0  At y = 4600 ft, dy/dt =  The…

Q: Convert the Cartesian coordinate (-4,-2) to polar coordinates, 0≤ 0 < 2π r= 2√5 Enter exact value. 0…

A: We need to find polar coordinates.

Q: cos 3t dt 5 + 3 sin 3t Ocos 3t

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Q: Evaluate (2a² y +9y³)dA, D is the region bounded by y 33522 a. 5 Ob. 4811 5 C. None of the choices.…

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Q: Question 16 This equation represents what? O a sphere an ellipsoid O a paraboloid O a double cone x²…

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Q: Simplify csc(t) sin(t) - cot(t) to a single trig function with no fractions.

A: csct-sintcott=1-sin2tsintcot(t)=costcottcott=cost

Q: II. Solve the non-linear equation: 1.) x2 - xy + 2y2 = 16 x-y=2

A: Given:  x2-xy-2y2 = 16        ...(1)x-y =2                         ...(2) To find: The value of x ,…

Q: ind the general Solution of the of the following differentia yu-5y" +4y=013 y=0

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Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: Inys 5. lim y→⁰⁰ y

A: To solve for the limits of the following function using L'hospital's rule.limy→∞ ln y5y

Q: - The region trapped between y = 4x 2 2x² and y = 2x² 1³ is shown below. - I

A: Please refer to the image below

Q: Find an equation of the plane tangent to the following function at (0, 0): O z = 9 O 2x +2y+z-7=0 O…

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Q: Calculate the line integral of the vector-function F(x, y, z) = (y² +2²) i-yzj + xk along the path…

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