Evaluate the line integral Ly² da + 2xy³dy C where C is a positively oriented ellipse x² + 2y² = 2.

Q: Test the series below for convergence using the Root Test. Σ (3n+4)* n= n The limit of the root test…

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Q: dy ☐ ☐ 5. For the differential equation -4y with the initial condition y(0) = 3 and dx Δα = 0.2, use…

A: Step 1: y0 =3 at z0 = 0z1 = z0 + Δz. f(0,y0)= 0 + 0.2 = 0.2 y1= y0 + Δz. f(0,y0)= 3 + 0.2.(-4.3) =…

Q: its Use the Squeeze Theorem to evaluate the limit: lim 4x ecos(6x/x) = Sources +0x Submit answer…

A: To evaluate the limit using the Squeeze Theorem, we need to find two functions that are both…

Q: Of all rectangles of area 441, which one has the minimum perimeter? The rectangle that has the…

A: To find the rectangle with the minimum perimeter among all rectangles with an area of 441, we first…

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Q: In Exercises 39-42, graph the functions. Note: In each case, the graph crosses its horizontal…

A: To graph this, we first need to identify its intercepts, asymptotes, and domain. To solve for the…

Q: Use the table graph to answer question in photo.

A: Step 1: Step 2: Step 3: Step 4:

Q: Use Stokes' Theorem to find the line integral of F = 6yi +3zj + 3xk around the boundary of the…

A: Step 1:Given that, F=6yi^+4zj^​+3xk^  around the  boundary of the surface S given by: z=9−(x2+y2)…

Q: Graph the function y=x-17x²x² (x²-17) by identifying the domain and any symmetries, finding the…

A: Step 1:The domain of the function is (−∞,∞)Step 2:The derivative of the function is 4x3−34xStep…

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Q: 3. Consider the piecewise functions f(x) and g(x) defined below. Suppose that the function f(x) is…

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Q: 40. Find the area enclosed by the ellipse x2 4 y2 + = 9 1.

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Q: A laboratory uses 400 white mice each year for experimental purposes. It costs $6 to feed a mouse…

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Q: Use summation properties and formulas to rewrite and evaluate the sum. 28 70 - 70 (j² 2j+1) j=1

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Q: ○ f(x) ○ g(x) 1. Compare the relative rates of growth of the following pair of functions and give…

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Q: Thinking 21. Given x = (2,5), ỷ = (-5, 12) find the scalar projection of x on ỷ. 22. If (-1, 3, 5) x…

A: Step 1:Step 2:Step 3:Step 4:Question 23 aQuestion 23 b

Q: (6) Let f(n) = n +ak-ın k−1 + ... + a1n+ao and g(n) + ··· +a1n+ao and g(n) = n™ +bm−1nm−1 ++b1n+bo…

A: Step 1: To determine when the series ∑n=1∞​​g(n)f(n)​ converges, we can use the Limit Comparison…

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

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Q: Please see image

A: Step 1:Given a0​=16,an+1​=12−an​−412​ a)sol) Now a0​=16>8         an+1​=12−an​−412​Put…

Q: Determine whether the integral is convergent or divergent. If the integral is convergent determine…

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Q: Q(4) The engine block M with a mass of 250kg is suspended from the pulley system in Figure Q4. What…

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Q: Q Search L W Find the equation of the curve whose slope is √√6x-3 and passes through (2, -1).

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Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z over the curve c(t) = (et,…

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Q: Using the attached theorms, Solve dx/dt =4x+y , dy/dt=-2x+2y

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Q: Evaluate the line integral Lxydx + x²y³ dy where C is the positively oriented triangle with vertices…

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Q: Question 17. Use logarithmic differentiation to find dy for the implicit function た dx (1+x)5 (1 −…

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Q: Use spherical coordinates to evaluate the triple integral SSSE e-(0²+²+) dV. where E is the region…

A: Step 1: change in spherical coordinate system Step 2: puting limit according to it Step 3:…

Q: Using the attached theorms, Solve dx/dt =2x+3y , dy/dt=6x+5y with initial conditions x(0) = 8, y(0)…

A: The given system of differential equations is a linear homogeneous system and can be written in…

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Q: Evaluate the line integral f(2x+4y)ds for C: r(t)= ⟨3t2, 4t2+3⟩, 0 =< t =< 2

A: Now, we can compute this integral. We'll need to multiply  (22t2+12)(10t),  integrate with respect…

Q: Test the series below for convergence using the Ratio Test. n= n72n 5n-1 The limit of the ratio test…

A: Given the series,n=1∑∞​5n−1n72n​ Using ratio test to test for convergence of the series, we…

Q: Consider the following pentagon. Which of the following is false? B E A W A. BD =w+ B. AB OC. AC CB…

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Q: 4. 5

A: If you have any problem let me know here in comment box for this thankyou for your question.

Q: Please please be thorough. Double check your work and the questions!! Please complete the first…

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Q: Please answer parts a and b

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Q: (5 and 6) Explain how to solve these question in detailed steps.

A: (3.) FalseA point of inflection occurs where the concavity of the function changes, not necessarily…

Q: (5) Use the limit comparison test and Problem 1 to decide for what values of k and m nk converges.…

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Q: 1. (x + √y² + 1) dx · (y – H.W. solve the following D.E. xy - - √12241) dy = 0

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Q: 1. (a) Differentiate and substitute to show that y = x - x-1 is a solution to the differential…

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Q: NO zion Given the following information, find the matrix A. 1. (47) ¯ = (25) = Instructions for the…

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Q: (3, 4, 3) Let v = Calculate: vxi=( vxj=( v x k = ( A F ->

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A: The miller indices for hexagonal lattice:Miller indices for any direction; The miller indices is…

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: Dèterminer les forces qui s'exercent sur (s) sur la figure sans souci d'èchelle

A: D'après l'image fournie, on peut identifier les forces suivantes qui s'exercent sur le corps (S) :Le…

Q: S₂ S Now Ꮖ (xy+5) dydx try the integral X dady to see why the order of integration is important.…

A: To solve the double integral, we first integrate with respect to y: ∫27​[−7(xy+5)71​]34​dx This…

Q: Given the following points: A (4, -2, 0) and B (-2, -4, 2), find: 1. The length of the segment AB…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Sketch a graph of the polar equation and find the tangent lines at the pole for 0 ≤ 0<π r = = 3(1 -…

A: Step 1: Analyze the Polar EquationThe equation r = 3(1 - sin(θ)) defines a relationship between the…

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Q: Using the attached theorms, Solve dx/dt =2x+4y , dy/dt=-x+6y

A: Reference: Differential Equations, Linear Algebra