Find the limit. lim t→3(t i-4 j + t² k) a z→3(t 1-4 j + P²³ k) = [i i+ Mi + M k

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A: Topic:- application of integration

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A: First we will find expansion using general formula and then put the value .

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Q: ☎ Q1: If x=² and y=21³ then b) 3 314 ² dx d) at x=4 F others Choose

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Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 4 1 T(+7) = -√17 Т…

A: given  as you have already found Tangent vector

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A: We have to find the area between the loops.

Q: 10. Given that y = at x = 1. e* X + 1 Find, in terms of e, the values of . 최 and dx dx²

A: (10). Given: y=exx+1   As we know that; The Power law; ddxxn=nxn-1 The Quotient rule;…

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A: To find out the tangent line approximation.

Q: 2. lim lim (x-i) tan (x 3 x) x>1 (x+1) sind (2x-2)

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Q: The graph y=f(x) is given; transform the graph y=f(x) into y=2f(x+1)

A: Given: Line passing through 0, 0, 4, 4:  y=x    {0≤x≤4}The equation of the curve is y=x-52+3…

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Q: use the constrained variation to maximize the volume of an open cone when the surface area is 2π

A: use the constrained variation to maximize the volume of an open cone when the surface area is 2π

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A: Given: r1t=costi+sintj+8tkr2t=7i+tk

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A: Solution is given below:

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A: Given x=4sint-sin4ty=4cost-cos4t0≤t≤2π

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Q: Problem 3

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