Write the equation of a sine or cosine function to describe the graph. 'y 0 2π 2π 3 7 6+ 5 4 3 2 2π 4π 3 too Dm 8π whet. 10 π

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Q: Solve the following Bernoulli's differential equations. 1. x²y' + 2xy-5y³ = 0

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A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

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A: 2θ=tdθ=dt2I=12∫ sin4t  dtI=12 ∫ sin t sin3t dt =12∫ 3sint -sin3t4sint dx=38∫ sin2t dt-18∫sin3t sint…

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A: Given,             ∫sin3x-3sin2xsin4x-4sin3x6cosxdx

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Q: M8 Σ n=1 3 n2 + n

A: Given problem:- Determine whether each of the following series converges.

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A: Let's find.

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Q: Activity 2 Find the first derivative of the following: 1. y = ln (12x) 2. y = sin-¹ (x² + 3) 3. y…

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where 0 ≤ t ≤ 1. [(x + 3y²) dy

A: We can solve this as follows:

Q: The Bernoulli's form of the differential equation x²dy+ (2xy-y³dx=0 is The Bernoulli's form of the…

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: Solving

Q: Current Attempt in Progress Find the arc length of the graph of r(r). r(t) = ²³i+j+₂√6²² k, 25157 Li

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Q: Use the given derivative to find all critical points off, and at each critical point determine…

A: Follow the procedure given below.

Q: d³y d²y dy+y=0 dx3 dx² dx

A: d3ydx3-d2ydx2-dydx+y=0                (1)LetD=ddxTherefore   equation (1)…

Q: Find the arc length L of the graph of r(t). L: = r(t) = 10 cos(t)i + 10 sin(t)j + tk, 0≤t≤ 2π

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Q: Find for z = for z = ex-y Əz Əx

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Q: Find dy dx 1. y = (3-2x)³ (x² − 2)

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Q: cos( sin 8x 8 Also, u = x. Therefore, the differential is du = dx dr Step 2 To find the integral J x…

A: A detailed solution is given below.

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Q: Find the sum of the series, if it converges. Otherwise, enter DNE. 6 Σ n(n + 2)

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Q: Determine whether the series is convergent or divergent. Σ 122 O convergent O divergent If it is…

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Q: ∫10x9−12x3−5 dx Evaluate indefinite anti-differentiation

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Q: Tutorial Exercise A force of 9 lb is required to hold a spring stretched 3 in. beyond its natural…

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Q: Jo (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (3,-5) X Evaluate -30

A: Here we have to evaluate        ∫c(2x-y)dx+(x+5y)dy    C: x-axis from (0,0) to (0,-5) and (0,-5) to…

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Q: Find the derivative of f(x) = x²e² A. re* (æ+2) B. x² + 2x C. —xe* (æ+2) D. x²e - 2xe O U A B

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Q: The Bernoulli's form of the differential equation x³ydx+(3x4 - y³dy=0 is

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Q: (b) 3, 1, 1 1 1 3'9' 27

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