The position function of a particle moving along the x−axis is given by x(t)=t3−4t2+5t−2, t≥0. Find the open t−intervals when the particle is moving to the left.

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A: To know which one is better we have to compare with calculator values of sqrt(1.1)  and sqrt(0.1)

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A: Introduction :

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A: According to our guidelines, we can answer only one question or three subparts of a question. other…

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A: Given, y'=t-2y y(2)=3

Q: a. Find linearization of f(x) = Vx +1 at x = 7. b. Using your answer above, estimate V8.1.

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Q: of and dy For the function f(x,y) = In (8x + 9y), find - - of

A: partial derivative of two variable functions

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A: Given that, f(x) = x cosx and we have to find linear approximation L(x) at a = π

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Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + B.

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A: given family of parabolas y2=cx at angle θ=60° claim- find the family of oblique trajectories that…

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A: Given:

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Q: Find fryz from the functions f (x, y, z) = 4x³y² – e²y* + + 4y – x16

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Q: y6 = C (x² + 1) %3D

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A: Orthogonal trajectories can be find in the following way: (i) differentiate given family of curves,…

Q: of find 4x + 9y of and dy For the function f(x,y) = %3D of dx ||

A: We can answer this question as below

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A: Given:The given function is f(x,y)=2x2-4x+y2-4y+1 on closed triangular region bounded…

Q: Q2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

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Q: Find the critical point(s) of the function f(x, y) = x² – 3xy+5x – 6y +8, and determine whether they…

A: Given function is  fx,y=x2-3xy+5x-6y+8 The function f is defined for all x,y∈ℝ2 and partial…

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Q: V Sove using variaton of parameters recuction of order or (D² - 2D+1) y = e*(e*+)*

A: Please find attachment for the details solution

Q: Find the linear approximation 0 to Write your answer in the form y = Ax + B. at x =

A: Explanation: The Linear Approximation should be a line that can substitute (in a narrow interval)…

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Q: Suppose that f(0) = 1, ƒ(0.5) = 2.5, f(1) = 2, and f(0.25) = f (0.75) = a. Using trapezoidal rule…

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Q: 2. Use the secant method to estimate the root of f(x) = a° + a³ + 3. %3D By starting with the…

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Q: (b)/ Use the Trapezoidal Rule with n = 4 to estimate ſ,(x3 + 1)dx.

A: To find: ∫-11x3 + 1dx using trapezoidal rule with n=4

Q: Find the 2nd solution using reduction of order. xy" +y' = 0; y1 = Inx For the toolbar, press ALT+F10…

A: Just I have used the method of reduction of order and solve in detail and find that  Second solution…

Q: Use the Quotient Rule to compute the following: t2 + 1 at t = -2 dt \ t2

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Q: Find the local extremum of the function • f(x,y) = xy² – 6x² – 3y²

A: Find the local extremum of the function f(x,y) = xy2 - 6x2 - 3y2