Find the circulation of the fieldF = (x2 - y)i + 4zj + rk around V? + y?, the curve C in which the plane z = 2 meets the cone z = %3D counterclockwise as viewed from above.

Q: Find the equation of the tangent line to the function f(x)=2x^2-x at the point where x=-1. Give you...

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Q: Solve for the unknown side lengths of the given triangle. Give the exact answers. To enter the squar...

A: topic - trigonometric ratios sin θ=oppositehypotenusecos θ=adjacenthypotenuse

Q: В E A 37 32 22 14 -- В 3 10 38 8 27 -- 37 10 11 30 -- D 32 38 11 17 39 -- E 22 8 6 17 44 -- F 14 27 ...

A: This question can be solved using the rules of Kruskal's algorithm: STEP 1: First arrange all the ed...

Q: Use sigma notation to write the Maclaurin series for the function. 6cosh x 6. (2k) !" 6. (2k) !" k=0...

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Q: (b) Find the volume of the region D bounded in back by the plane r 0, =0, 1-y, on the top by the par...

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Q: Try to observe the graphs below : y = f(x): y= f(x) 2 y3f(x) y = f(x) 0. (a) (b) (c) (d) Activity: 1...

A: The objective is to solve the above question. 

Q: et ● t'(x) = 805x4 (x),1 O %3D O t'(x) = 80(e)-(e*)(5x4) (x),1 e2r e2x ((*(-(,r5)(,2) 08 = (x),1 C %...

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Q: Previous question Use transformations of f(x) = x to graph the following function. AY g(x) = 4(x-1)2...

A: The given question has been solved in detail.   

Q: find the sum of this series: (-1)* 2n+1 y2n+1 (2n +1)! n:0

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Q: 1.Determine the convergence of the following sequences {a,} = {In (#)}

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Q: S 3x(ln(42x))²dx

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Q: What is range of function f(x) = x-1 which is defined everywhere on its domain? * (-00, 00) – {0} (-...

A: Topic:- range and Domain of function  

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: f(x) = vx – 1 at x = 5 %3D

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Q: Does the parabola y = 2x - 13x +7 have a tangent whose slope is - 1? If so, find an equation for the...

A: The parabola y=2x2-13x+7 have a tangent whose slope is -1

Q: Use the graph to determine Ay (a) open intervals on which the function is increasing, if any. (b) op...

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Q: 2x2 + 3x + 4 If f(x) : then: f'(x) = f'(3) = %3D

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Q: Cosx 1+sinx 11. 1+sinx 2secx Cosx

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Q: The graph of y = f(x) (solid) and its tangent line at (0, - 5) (dashed) is shown. 10+ 6- 4- 10 -9 -8...

A: Given: The graph of y=f(x) and its tangent line is at (0,-5) (dashed) is shown.  

Q: The motion of a spring that is subject to a frictional force or a damping force (such as a shock abs...

A: We know that rate of change of position is called velocity of the function.

Q: 0.08e* Determine p' (x) when p(x) = Select the correct answer below: 0.08e* %3D (x),d O (12)(x^)-( 1...

A: topic - derivative of a function

Q: Find the equation of the tangent line to the curve y 2x cos x at the point (п, — 2т). The equation o...

A: We will find the equation of tangent line. 

Q: Consider the function f(x)=x^5 - 5x^4 a. Find where the function is increasing and decreasing.   ...

A: Increasing and Decreasing functions : If f'(x)>0 for every x on some interval ,then f(x) is incr...

Q: x2 + 1 dx (x – 6)(x – 5)2 |

A: To solve the integration of the integrand (x2+1)/(x-6)(x-5)2 , we use partial fraction form. 

Q: You are told that Vf(2,3) =. %3D Given ü =, compute Düf(2,3).

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Q: 32 e こと dz と+e Use gamma or beta laws with the solution in detail of

A: The value of the given improper integral is π/8

Q: QUESTION 1 Suppose that z depends on variables r, s. and , andr, s, and I each depend on a variable ...

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Q: (a) A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to t...

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Q: g(x) 3- Determine two functions g(x) and h(x), neither of which is constant, so that Ax) =f(x) = 0 ...

A: We will determine two function gx and hx so that fx=gxhx<0  andf'x≤0 for x<0 andf'x≥0 for x&gt...

Q: 2. - 4

A: The given integral,    ∫dyyy8-4

Q: + Q&A Library 8. Determine the Taylor series for f(x) = sin x at x = T. ... 8. Determine the Taylor ...

A: According to our company's guidelines I can only answer first question since you have asked multiple...

Q: What is the first derivative of f (x) = ln n A)? 3x²+7x 5х Select the correct answer below: бх-7 O f...

A: Given query is to find the derivative of the expression.

Q: Find the area of the surface generated by revolving the curve - 5x y = e x > 0

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Q: Σ k! k=1

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Q: Let h(x) f(x) where f(x) = In(3x2 + 2x + 2) and g(x) = -2x. What is h' (x)? g(x)' Select the correct...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the con 7dx x(x...

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Q: 1. a) Consider the function z = t², in which t = x – y. Use chain rule to compute dz the partial der...

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for ...

Q: According to the alternate form of the definition of the derivative, to compute f′(0), we need to co...

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Q: sin 3x 39.lim tan 6t 41. lim 50 sin 21

A: We will use the l'hospital rule to fine the limit of 39.  To fine limit 41. We will use the basic al...

Q: )

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Q: x2 + 4х + 3 23. у %3

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Q: Find the derivative of g(u) = square root of ((u+1)/(3u+2))

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Q: 2. -4

A: Our Aim is to evaluate the integral given below:-∫dyyy8-4 -(i)

Q: 4. S(cos 2x)e$in 2.x dx 5. S cos x In(sin x) dx 6. ſ tan 0 In(sec 0) de

A: According to given : Only 4,5,6 are solved

Q: Find the derivative of the function. Show your complete

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Q: Prove the identity. 1+ tan 0 1 + cot0 = 0 1- cote %3D 1- tan 0

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Q: Find the derivative of the function. y = xe-x8 %3D y' = %3D

A: Given: y=xe-x8

Q: Suppose lim f(x) = 3 and lim g(x) = - 5. Name the rule or limit law that is used to accomplish each ...

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Q: Evaluate the integral

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Q: valuate the integral. (Remember to use absolute values where appropriate. Use C for the cons x² – x ...

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