Find the arc length L of the graph of r(t). r(t) = t3 i+t L= i j+126t2 k, 3≤t≤6

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Q: 8 sin 8. Then sketch the curve.

A: The correct curve of r = 8 -8sin(θ) is  Option (C)

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Q: Activity 2.2 For the given function sketch the graph; determine if f is continuous at xo and…

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Q: Write the Taylor series for f(x) = xº about x = −4 as Σ Cn (x + 4)". n=0 Find the first five…

A: The given function is  f(x)=x3 about x=-4.

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A: Given: Graph:

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A: Given :

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A: See the details solution in below

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: Here, the given series is: ∑n=1∞7n2(2n+1)! Let, an=7n2(2n+1)!; n≥1

Q: For the function f(x) = x² + 7, find the equation of the tangent line at x = -1. Answer: Submit…

A: Let's find.

Q: What are the rectangular coordinates of the point whose cylindrical coordinates are (r = 7,0 = 1.2,…

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Q: Change the polar equation 2r = 2 + cos 0.(2r - 1) to Cartesian equation

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Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

A: The error in the approximation of a given series is always less than the last term that is used for…

Q: 1. F = cos y i+ xyj + yk, A B C D E F О н A. i+j+(y-siny)k B. i+ (siny - y)k C. j (2y-siny)k D. 3i -…

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Q: A new fish species is introduced into a lake. Assuming that the population of fish quadruples in the…

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Q: (a) Write a sum formula for sin(u + v + w). sin(u + v + w) = (b) Write a sum formula for tan(u + v +…

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Q: Find the exact length of the curve x = tsint, y = t cost where 0 ≤ t ≤ 1.

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Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: Radius of Convergence of a Power Series. (n!)x" Determine the radius of convergence for the series…

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Q: Find the area of the region enclosed by the parametric equation x = t³ - 7t y = 6t²

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2√x + +√x dy = Need Help?…

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Q: - y' + y = 2 sinx when y(0) = -1

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: veen y - II [U, 1].

A: We will find the area .

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Q: Suppose parametric equations for the line segment between (7,-3) and (8, 2) have the form: Т a + bt…

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Q: Given: (x is number of items) 3844 Demand function: d(x) = √x Supply function: s(x) = 4√x Find the…

A: The demand function is given by dx = 3844x The supply function is given by sx = 4x To evaluate: The…

Q: Find the limit. NOTE: Enter the answer using round brackets. t² +7 1 lim t +∞o (?, ?) 5t² + 6'5t,

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Q: Find dy. Do not simplify your dx answers cashy (x² + + 7) = x curt y² 1. COS -241

A: As per the instruction, we will be answering only the first question. For (1),…

Q: Sketch a right triangle corresponding to the trigonometric function of the acute angle 8. cos(8)= 4…

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Q: Determine the interval of convergence for the series 2¹.¹. n=0 The series converges on the interval…

A: This is a geometric series with r=2x.

Q: 16. Let u = ln t, t = 2r and r = √w. Find and simplify du dw in terms of w.

A: As per Bartleby guideline,  we have answered only the first question. Please repost mentioning the…

Q: What are the cylindrical coordinates of the point whose spherical coordinates are (3, 5, 1)? r = 0 =…

A: Given: spherical coordinates ρ,θ,φ, here ρ=3,θ=5φ=π6 To find : cylindrical coordinates r, θ, z

Q: Use Green's Theorem to evaluate the line integral √(x - (y - x)dx + (2x - y)dy for the given path.…

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Q: Evaluate the integral 13 ƒ(x)dx geometrically for ƒ (x) = { |3 − x ; x ≤ 5 2; x > 5

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Q: fand sketch it, for f(x, y) = x²

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Q: Evaluate (F JC Er F • dr. F(x, y) = xi + yj C: r(t) = (7t + 4)i + tj, 0≤t≤1

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Q: Suppose we have a surface f (x,y)=x²y+cos (4x) · Which of the following is the gradient of f(x,y) at…

A: First I have found the partial derivatives of f(x,y)  with respect to 'x' and 'y' at point P(π/2,…

Q: Given: function f(x) with dom f = R \ {-1} lim f(x) = 00, lim f(x) =+ ∞, lim [f(x)-(1- x)] = 0, x→-1…

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