Find the following limit lim x-4 X-72 3x-6

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A: Note- open circle at any point means value of function at that point is not defined or not included…

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A: Step 1: Step 2: Step 3:The answer is 1.

Q: #39

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A: Note :  we have formulas,  a⋅ba×b​=∣a∣⋅∣b∣cosθ=∣a∣⋅∣b∣sinθ​ where, θ is the angle between the two…

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Q: 5 4. ·3. -2+ 1+ AN -5 -3 -4- 1 x 3 ད Graph of f The graph of the function f is given in the xy-…

A: See answer and explanations above

Q: (2) (4 points) Find all vectors v having length 1 that are perpendicular to both =(2,0,2) and j =…

A: We find all vectors v with length 1 that are perpendicular to both a = (√2/ 2, 0, √2/ 2) and j = (0,…

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Q: 2. (i) Describe with a sketch the trace of the following curve in R² (t) = (t² sin(t), t2 cos(t)),…

A: The given curve is a parametric curve in R², defined by the function (t) = (t² sin(t), t² cos(t)).…

Q: Im confused on part d

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Q: Question 1 (1pt). The graph below shows the velocity (in m/s) of an electric autonomous vehicle…

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Q: Exercise 1 Given are the following planes: plane 1: 3x4y+z = 1 0 plane 2: (s, t) = ( 2 ) + ( -2 5 s+…

A: In the above diagram, the angle between the normal vectors α is what we are calculating using the…

Q: Sketch a possible graph of a function f, together with vertical asymptotes, that satisfies all of…

A: Step 1: Step 2: Step 3: Step 4:

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

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Q: For what values of p is the following series convergent? Justify your answer. ∞ (−1) k-1 (In k)P k…

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Q: ansewer both questions in a very detailed manner . thanks!

A: First, we need to identify the integral that we are asked to solve. In this case, we have two…

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A: More explain

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A: Step 1: Step 2: Step 3: Step 4:

Q: Find the flux F(x, y, z) = xi + 2yj +4zk, S is the cube with vertices (1, 1, 1), (-1, -1, -1)

A: This question can be solved using Gauss divergence Theorem, which states…

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A: Steps and explanations are as follows: To solve this problem, we need to find the rate of change of…

Q: || 8 Example: If ƒ (x + 2π) = f(x), obtain Fourier series expansion for the function given by 2x 1+…

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A: Given the vector field𝐹=(−𝑥𝑦𝑧−𝑥−2𝑦,−4𝑥𝑦𝑧−4𝑦𝑧−4𝑦,−3𝑥𝑦𝑧+𝑥𝑦+4𝑧) and the parametric…

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A: To find the average velocity over the interval [1 , 5], we use the formula:vav = (s(t2) - s(t1)) /…

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Q: (b) For each of the following sets, 6 is an element of that set. (i) {x ER|x is an integer greater…

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A: I hope this is helpful.

Q: The answer is A Show me how to do it

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A: a) The graph starts at (0,1) and grows exponentially on both sides of the y-axis.b) To prove the…

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A: An integral is considered as an improper integral if one or both of the limits of integration are…

Q: #19, #25

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Q: Please help me with these questions. I am not understanding what to do. Thank you

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Q: Please help on this Math 1

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Q: (2) (8 points) Determine normal vectors for the planes given by the equations x-y+2z = 3 and 2x + z…

A: Given:Plane 1: x - y + 2z = 3Plane 2: 2x + z = 3  Step 1: Normal Vectors of the Planes The equation…

Q: what is the f(x) when the lim reached to: 5^- 5^+ 5 9 and when f(9) ?

A: AnswerStep 2

Q: "P3 Question 3: Construct the accessibility matrix Passociated with the following graphs, and…

A: Step 1: Constructing the Accessibility Matrix PThe accessibility matrix (adjacency matrix) P…

Q: 4 πT14 Sin (X) 3 Sin(2x) e dx 1716 S (sinx + cosx) dx

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Q: ||A||=23 45° Find the EXACT components of the vector above using the angle shown.

A: We are given a magnitude of 23 and an angle of 45 degrees with the positive x axis.The vector in…

Q: Let (W)to be a Brownian Motion. (a) Let 1 if Wt > 0, Xt=sgn(W)= 0 t if W₁ = 0, - 1 if Wt < 0. Check…

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Q: Use the Error Bound Formula  for the trapezoid Rule to determine N so that if the integreal of e-2x…

A: The Error Bound Formula for the Trapezoid Rule is given by: |K2|(b2-a2)n212 where: K2 is the maximum…

Q: π 25. If lies in the interval <0</ and Sinh x = tan 0. Show that: 2 Cosh x= Sec 0, tanh x =Sin 0,…

A: Using the definition of hyperbolic functions, we can show that coshx=secθ, tanhx=sinθ, cothx=cscθ,…

Q: Determine Whether series converge or diverge if it converge what is the limit.  $\{ \frac…

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Q: i need the solution of part d and bonus. THANK YOU

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Q: 3. (i) Consider a mapping F: RN Rm. Explain in your own words the relationship between the existence…

A: #####(i)To understand the relationship between the existence of all partial derivatives of a mapping…