Find the directional derivative of the function at the given point in the direction of the vector v. f(x,y) = x/(x^2+y^2), (1,2), v = <3,5>

Q: 10z +2 (z+1)²(2-3)² S dz

A: ∫10z+2z+12z-32dz

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A: Basic differential equation is used

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Q: (5). a. The length of one side of a square tile is 1½ feet. Determine the area of the tile in square…

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Q: FIND THE DERIVATIVE OF THE FOLLOWING FUNCTIONS. g(x)=xnx

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞,00). f₁(x)…

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Q: Find the equation of a plane passes through (1, 2, 3), (3,2,1) and (-1, -2, 2) ○ 4x - 3y + 4z = 10…

A: This question is based on finding equation of plane that passes through 3 points.

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A: We need to find equation of polar curve.

Q: When I put what you circled as an answer it tells me I am wrong so what part specifically is the…

A: You need not put the whole boxed expression as your answer.

Q: xy³ lim (x,y) (0,0) x²+2y6, O a. Does Not Exist O b. Infinity О с. 0 O d. 1/3 =?

A: limx, y→0, 0xy3x2+2y6

Q: Find the domain and the range of the function. (Enter your answers using Interval notation.) h(x) =…

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Q: Assume that the radius r of the cylinder below is decreasing at a rate of 2 m/s, and that its height…

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Q: Verify Green's Theorem by evaluating both integrals (ON-OM) d [[ y² dx + x² dy = √ √ ( ³x for the…

A: In this question, we want to verify the green's Theorem for the given integral.

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Given solution is y=C1+C2x+C3e4x

Q: Question 1 Find the total differential of the function z = 7x³y8 Odz = 7x¹y³dx + 7x³y+dy dz =…

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Q: Evaluate the iterated integral. 2 √4-3²3-8²-12² SS S x dz dy dx 0 -S+x² + y²

A: Given, ∫02∫04-x2∫-5+x2+y23-x2-y2xdzdydx

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Use Simpson's 1/3 rule with (n₁ = 2), and Simpson's 3/8 rule with (n₂ = 3) to estimate tan-¹(2).…

A: We have to estimate the given function.

Q: Find the following integrals. Do not add any constants of integration, as the resulting functions…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The answer for x is correct but the answer for dy is wrong.

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Q: Determine the region R in the xy-plane that minimizes the value of JJ (x² + y² - 8) dA. OR={(x, y):…

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Q: Solve the following ODES by Undetermined Coeff. X X A 1 3X 2 • Y -2y = 4y + 8y = 2³x + 8x² - + 2X -…

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Q: Consider the following problem. A bicyclist is riding on a path modeled by the function f(x) =…

A: The following question belongs to sort trick question where we are provided with extra information.…

Q: Find the general solution of the given second-order differential equation. 25y" - 15y' - 4y = 0…

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Q: A) Let g(x) (5x+24 =x² 2x+8 x<-3 -3<x<4 x 24 a) lim g(x), lim g(x) X--3 evaluate the following…

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Q: Given the unit circle, x^2 +y^2=1. Sketch the unit circle and pick a point K(a,b) on the unit circle…

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Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

A: Solution:

Q: LILL Hours spent studying 2 Graph B 4 6 8 Hours spent in class d. What is the equation for Graph B?…

A: Here s denotes study hours and c denotes hours spent in class.

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Find the equation of the tangent line to the curve at the given point. \\ y = 1 + 2x − x³, (1, 2) y…

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Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = 0 y(x) =

A: We need to find general solution.

Q: The profit from the sale of x units of radiators for automobiles and y units of radiators for…

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Q: 3. Sketch the graphs of the curves y = 2x² + 1 and y=7-x. Shade the region bounded by the curves.…

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: a) (-²) lim x-0 3r b) = (₂) (72)" lim

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Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find Magnitude and Direction (Angle) Giving the Vector Given the vector u = -47 +17, find the…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jx x5/2 In(x) dx

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Q: Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation…

A: Given equation:- x5-x-5=0 , x1=1

Q: Find the Jacobian (x, y) / d(u, v) for the indicated change of variables. x=u-v², y = u + v a(x, y)…

A: Follow the procedure given below.

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: We need to fill in the blanks.

Q: 19j isn't even an option... neither is your choices of + and - Please review possible answers and…

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Q: S D

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Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

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Q: You own a hamburger franchise and are planning to shut down operations for the day, but you are left…

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Q: d) Consider f(t) = bt, where t&R and b ER such that 0 by [Select] e) 5 log25 k² = k where k denotes…

A: To label the following statements as T for true or F for false.d Consider ft=bt, where t∈R and b∈R…

Q: If f(x) = f'(x) = f'(4) = 4x + 7 2x + 3 find:

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