explain

Q: Find the Taylor series generated by f at x= a. (-1)"n(x - 6)" OA. E 6*1 (-1)"(n+ 1)(x- 6)" O B. E…

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Q: Consider f(x) = cos (x) ln(x +2). a. Find the local linear approximation of f(x) at xo = 0. (In 2 z…

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Q: 4 y = ,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n c. u.)

A: This question is based on finding volume of solid.

Q: x² – 4 For the function f(x) =- x' +3x – 4 a) Find the equation of the vertical asymptote(s) b)…

A: Solution is here

Q: x2 + 7x – 3 | dx J (2x + 1) (x – 2)²

A: Given problem:-

Q: Find the differential dy: y = In(sec² ( 3"-2*+5)). Find the differential dy: y = In(sec? ( 3-2x+5…

A: We have to differentiate given function

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = e 2x2 + y? - 8x…

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Q: x5Vx2 + 2dx

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Q: For the function f(x)= x3 + ax2 + 2a2x + a, there exists a point of inflection at x = 2. Determine…

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Q: By considering different paths of approach, show that the function below has no limit as…

A: In this question we have to find the limit.

Q: By considering different paths of approach, show that the function below has no limit as…

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Q: What are the local extreme values of the function f(x) = x' – 3x + 2? a. None of these. O b. Local…

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Q: Given f(x) = 2x + 4, what is the value of (1)? Select the correct response: 1 O 2 O 4

A: Note to student :    Thanks for posting your queries. But there are multiple questions given. As per…

Q: Lim 3 128 2 J

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Q: Assuming that out of 200 documents, 40 documents are relevant. A search engine returns 30 documents,…

A: Number of relevant items retrieved =12Total number of relevant items = 40

Q: Evaluate the integral. (2 4y2 – 7y – 12 J. yớ + 2)y – 3)*

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Q: ∫x+2x√3−6x32x  dx∫x+2x3−6x32x  dx = ∫3sinh(lnx2)  dx∫3sinh⁡(ln⁡x2)  dx =  ∫69+x2  dx∫69+x2  dx =

A: As per bartleby guidelines we only give first three question answers.

Q: b. d.x Vx4 – 2x2 + 1 3

A: Let's find.

Q: Let B be the sphere x2 + y? + z? = 1. The volume of the portion of B contained in the first octant…

A: Here, the sphere is x2+y2+z2=1 to find the volume formula for the spherical coordinates of it in the…

Q: 4 Which formula would be used to calculate the trapezoid approximation of L dx using five…

A: We have to use trapezoidal rule. Option B is correct.

Q: etermine the absolute maximum and absolute minimum values of the function f(x)= x2 - 11x + 18, where…

A: Given: f(x)= x2 - 11x + 18

Q: I. Find the Laplace Transform of the given function using the definition of Laplace Transform a.…

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Q: 2. If the acceleration function of a certain particle is given by a(t) the velocity function…

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Q: lim X- Sin X X3

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Q: Using the definition of differentiation, find the value of f'(a) if f(x) = sinx

A: Topic = Derivative

Q: the second order partial derivatives of the given function. (x.y) = xye -y O A. 21 = 0;=2xye -Y (2y²…

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = x², a = 2 A. P3(x) = 1 +8(x- 2) +…

A: Let's find.

Q: Find all the derivatives of the following functions f (x) = x° + 4x* + 3x° – x² + 6 - 1. 1 12 g(x) =…

A: Let's find.

Q: Differentiate each function by applying chain rule. Match each item to a choice: y = x(x² + 3)² y =…

A: We have to differentiate following functions using chain rule: y= x(x2+3) 2 y= (4x-10) 4 y=…

Q: -2 is a critical number of the function f(x) = /2x - x2, Select one: O True O False

A: The given function is  f(x)=sqrt(2x-x2)

Q: 1 an 1 Use the transformation u = 2x+ y, v=x+ 3y to evaluate the given integral for the region R…

A: Given

Q: 1. Evaluate the following integrals. 2" – 4" - dy - с. 2+ 49

A: To evaluate the given integral.∫2y-4y2+4y dy

Q: Integrate f(x.y,z) = x+ Vỹ - z° over the path from (0,0,0) to (1,1,1) given by C,: r(t) = t i+t°j, 0…

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Q: 1 x2 1. Evaluate: f(x) = S, dx 2. Find the Taylo

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Q: ||1+ Vx dx

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Q: Which of the following is true for the graph of Ax) on the interval (0, 2)? (Circle ALL that are…

A: The graph of the function fx

Q: a spherical balloon is filled with gas at a rate of 300 mm3/sec. Find the rate at which the surface…

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Q: Let B be the sphere x2 + y? + z2 = 1. %3D The volume of the portion of B contained in the first…

A: x2+y2+z2=1

Q: 1) (3,4), (4,3) Ans. Independent

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Q: e) f(x) = 3x2 – 7 g(x) = 2x+3 find f(g(x)) %3D

A: Find f(g(x))

Q: Determine any critical point(s) for the function f(x)=-3x2-9

A: For Critical Points We will Put F'(x)=0

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know the surface area of the cube is; S=6a2                            ...(1) Where 'a' is the…

Q: Evaluate the integral. tan x sec³xdx

A: LetI=∫tanxsec3xdxSubstitute u=sec3xDifferentiate…

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given Data: fx=x2+ax+b

Q: The power series representation of 1 f (x) = 5x +4 is: O 5 25 125 x+... 256 4 16 64 25 125 x++...…

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Q: 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in the form of…

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Q: B- Find the length of the curve given by the position vector r=, =r'i+(1+(1/3)x')j+(1-(1/3)')k for

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Q: Write true if the statement is correct and false if the statement is incorrect. = V3x + 2 Given the…

A: As asked we can answer the question true or false with out explanation as below.

Q: 1. Evaluate the following integrals. csc 0)(1+ sin² 0 + sin 0 cot² 0) do a.

A: To find out the integration.

Q: (in) S 15:22 15-z dx. u = (M S 15 - TV9 – a² dx. u= (vi) S dr. u = 22+15

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