Here we consider f(x) = Vx near a = 8. (a) Find T1(x) and T2(x) centered at x = 8. (b) Separately use both T1(x) and T2(x) to approximate 7.8. (c) Use the Taylor Error Bound to determine the maximum possible values of the errors |T:(7.8) – V7.8| and |T2(7.8) – V7.8|. (d) Compare the actual errors to the guarantees calculated in the previous part.

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A: Given,          r't= 3t2 , 4t3 , 2t  , r1=-2,-5,-9

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A: Let  f(x)=x3+3x-5  with range [1,2] f(1)=1+3-5=-4f(2)=8+6-5=9 1st Iteration: Let a=1, b=2…

Q: 5. Consider the function y(t) = rect (a) Sketch y(t). (b) Sketch (d+1)y(t). d-5 (c) Sketch y(t-(a +…

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Q: the linear approximation of the function f(x) = √3 1 + x at b = 0 and use it to

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Q: Consider f(t) = (6t², 10t3, 3t4). Find ||f"(1)||. Type your answer.

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Q: find the differentiate of h(t)= the 5th square root of t - 5e to the power of t

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Q: 3- Verify the MVT with f (x) = √7x, a=1 and b=16.

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