Use the formula k(t) : ||r(t) × r"(t|| to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk K(t) =

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A: Let's find.

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A: Given: u=3, 11, v=-4, 3

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A: To evaluate the following limit.limx→-13-9x2-12x+113x-1

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A: Given,               x2+y2=225

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Q: 8) Solve the initial value problem: y' = 5e +9x²- 7x y(0)=9

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A: We have to find the area between the parabola y=x2-1 and the line y=x+5 .

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A: Maclaurin series of arc tan (x)= ∑k=0∞ (-1)k x2k+1(2k+1).

Q: /3x+10 4 Evaluate lim x- 2- x2- 4x +4 А. 1 В. 3/8 D. -00 E. None of these C.0 B O D E O A

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A: Given problem:- Find the volume of the solid bounded by the graphs of the given equations.   z = xy,…

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A: This question is based on 3-d line.

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Q: x³ – 11. What is dx ? х-1 x2 + 2x + C x3 x3 A. + C B. +x+ C C. 3 D. x(2x²+3x+6) + C 12. In solving S…

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Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); fi-) U =

A: we can solve this as follows:

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A: This is a problem related to function calculation. Based on the graph we can find out the interval…

Q: 1 Use SUBSTITUTION to evaluate the definite integral to three decimal places. xp- 2x +4

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Q: ピ+5 1 lim t一+0|5t2 +6'2t (?, ?)

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