Question 2 Compute the following limit. Give your answer as a simplified radical, if necessary. lim √2x² + 3x - 1 x-1

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Q: b) 2 1/2 dx x(lnx)4

A: Topic:- integration

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A: Topic = Derivative

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A: Given a→=<5,-1,-4>To find: a→

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Q: a) b 5. c) [ 4x²-3x+2 dx. x Evaluate f Solve the initial value problem = cost-2 sint, z(0) = dt Find…

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A: Solution is given below:

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A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. (a) Find the curvature (t) for the vector-valued function (t², 2t, In t), t > 0. (b) Find where…

A: Basic identities of differentiation and vector calculation are used

Q: Problem Set #1. (w/Answer Key) 1. x²y' = x²+1 3y² +1 1. y(y² + 1) = (x² + Cx - 1) X

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Q: Question 1 Find lim f(x) given the graph of f(x) shown below. x-5 +++ -10-9-8-7- Y 3 4 5 6 7 9 10 x

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Q: 5 (x²-4)

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A: Please see the below picture for detailed solution.

Q: Pls answer fast 2+2

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A: y2x+y-2dx-2(x+y)dy=0 Lets check for exactness.…

Q: 1 Given the differential equation dy = y³xex² уз хеха dx a. find the general solution

A: The objective of the question is evaluate the differential equation.

Q: Find the vector equation that represents the curve of intersection of the paraboloid z = 2x² + y²…

A: Given: Let us take x = t. So, we get y=t4  and  z=2t2+t42=2t2+t8.

Q: 4. If ricost cosh t+j sint sinh t, where i and j are constant orthogonal vectors prove that (a)…

A: Given r = i cost cosht + j sint sinht

Q: 10. Evaluate f(x) = 10-4x for f(3). a) 23 b) 2 c) 22 d) -2

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Q: Use the cross product u x v to find the obtuse angle between vectors u and v, where u = i +8j + k…

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Q: Solve the differential equation dy dx y+√√x² + y² X ; when x x = a. y² = 2x-1 b. x² = 2y-1 2 c.…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: The function f is shown below. What is the value of answer in simplest form. -10-9-8 -7 -6 -5 -4 -3…

A: This question is related to definite integration, we will solve it using given information.

Q: 37. Problem Using polar coordinates, a point is at (7, 38). Find its rectangular coordinates. a)…

A: As per bertleby guideline I  have to solve only problem 37. For answer to others resubmit the…

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Q: 2. Which graph is NOT a function? a) b) 20.00 0.00 0.00 c) n 20.00 x X d) 10

A: Option D  is not a function.  Because to qualify as a function, for every value of "x" there must be…

Q: 9. Which of the following is f(x) = x³ the parent function for? a) f(x) = 8x³ - 13x + 11 b)…

A: 9. Which of the following is f(x)=x3 parent function for.

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Q: Calculate the determinant. jk 1 -1 9 4 0 71 기 -7i-34j+3k x

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A: answer is in next step.  as per guideline i can answer only one question .

Q: What form of the particular solution is appropriate for the differential equationy'' - y'=4+4e*.

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A: Centerville is located at 10,0 in the xy-plane Springfield is at 0,5 Shelbyville is at 0,-5 The…

Q: Consider lines L₁ and L₂. L₁: x = 1 + t, y = t₁ z = 2 + t, t€ R, L₂: x-3=y-1=z - 3 (a) Verify…

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Q: Find the cross product u x 7 where u = 2i -3j +k and = (7, - 3, 4). ü xü= Check Answer

A: We have u→=2i-3j+kor u→=2, -3, 1Alsov→=7, -3, 4

Q: Find the center and radius of the sphere with equation (z + 3)² + (y + 1)² + (z+4)² = 1 Center:…

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Q: Solve the differential equation xdy]=0 xdx +sin? (%) [yde 4x ln || - 2y + x sin ( ² ) = 0 2x a. 2y…

A: Given :   xdx+sin2yxydx-xdy=0

Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

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Q: Let r(t) = cost i + e^t j + t^2 k be given. A) Find the unit tangent vector to the curve at any…

A: Given: rt= cost i + et j + t2 k

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Q: Solve the differential equation (1 − xy)−²dx + [y² + x²(1 — xy)−²] dy + x²(1 − xy)−²] dy = 0; y (2)…

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Q: Assume the coordinates are integers. Determine the coordinates of the point shown. (Type an ordered…

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