If 7 (t) =< 2cost, v3 t, 2 sint > then the curvature at the point (2,0,0) is (A) (B) 25 (c); (D)를 (E) -

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Q: Given the space curve F(1) = (a) Compute 7 (t) and 7" (t). (b) Find an equation of the plane that…

A: Solve the following

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Q: (d) r'(t) x r"(t)

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Q: ] Consider the function p(x, y) = e=x²-y² .) Find the directional derivative of oat (3, 4) in the…

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Q: За and the equation of the tangent line to the curve at the point (a,b) is y = 2 - If f(x) = -x- x +…

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Q: Q3. For the motion vector r(t) = e'cost i + e'sint j , find: (i) (ii) ат

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Q: Find the curvature of he curve :  at y = (x^3)/3 at x=1 a. 1/sqrt(2)                       b.…

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Q: (i) find the curvature of the function f(x) = 4x^2 at the point (0,0).  (ii) find the equation for…

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Q: The following r(t) = (3 sint, 4 cost) represents vector-valued function. i) ii) iii) By eliminating…

A: The followingr(t)=(3sint,4 lcost) represents vector-valued function.i) By eliminating parameter 1,…

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Q: 1. | cos*x dx CO 4.

A: Integral.

Q: 10. Given the curve C defined by the vector-valued function r(t) = a) find an equation of the line…

A:

Q: What are the coordinates of V'

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Q: Let r(t)= (212-t,t³ +1²-5t), -2≤t≤ 2. (a) Sketch the curve which is generated by r(t). You may use…

A:

Q: Find r'(t), r"(t), r'(t) •r"(t), and r'(t) x r'"(t). r(t) %=D 흑래- 26j + 하하k (a) r'(t) (b) r"(t) (c)…

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Q: 3xyz = 63 and 3x² + 4y² + 8z² = 423 at point (−3, 1, −7). ř(t) = with -∞ < t <∞

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Q: find the curvature of y=x^4 at (1,1).

A: