Find the Taylor polynomial of order 3 generated by f at a. f(x) =x, a = 3 %D O A. P3(x) = 1 + 6(x- 3) + 9(x– 3)² + 12(x - 3)3 O B. P3(x) = 9+6(x- 3) + 9(x- 3) + 12(x- 3) O C. P3(x) = 1+ 18(x – 3) + 81(x – 3)+324(x- 3) O D. P3(x) = 9 + 6(x- 3) + (x– 3)-

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 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.

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A: To explain when we should use chain rule.

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A: To find the total derivative

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A: The  derivative of f at the given point is given below.

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A: We have to Solve as per given conditions.

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

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A: The trapezoid approximation of the given integral is given below.

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A: This question is based on application of derivative.

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A: To find out the correct options.

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A: To evaluate: I=∫x5x4-2x2+13dx=12∫x22(x2)2-2x2+132xdx Substitute x2=u⇒2xdx=du

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A: Given :   y=x y=2x x+y=6

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A: Given that total volume Volume of cylinder+volume of cuboid=30 πr^2 ×h + 2r ×2r ×r =30 πr^2 × h…

Q: (iii) Extremum point(s), (iv) The interval of concavity, (v) Inflection point.

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A: Topic = Series

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A: f(x)=x2-x-1if x<13x3-4if x>11if x=1

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A: Topic = Integration

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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

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A: We have to integrate by partial fraction.

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Q: 3. Consider the vector field F(x, y) = (2xy, x2 - sin y). Evaluate %3D F. ds where C is the curve…

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