Find the positive t when the vector r(t) = (7t, 6t², 9t2 3) is perpendicular to r'(t). - t =

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Q: Find the positive t when the vector r(t) = (4t, 4ť, 5t² – 6) is perpendicular to r' (t). -

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Q: Find the derivative of the vector function r(t)=ta×(b+tc), where a=⟨3,−2,−3⟩, b=⟨1,3,−2⟩, and…

A: To find the derivative of the vector function, rt=ta×b+tcWhere, a=3, -2, -3, b=1, 3, -2, and, c=-2,…

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Q: A bee with velocity vector r' (t) starts out at (3, –5, –2) at t = 0 and flies around for 3 seconds.…

A: Let f(x) be a continuous function in the interval a,b . The the fundamental theorem of calculus…

Q: Find the derivative of the vector function r(t)=ta×(b+tc) where a=⟨−4,−3,5⟩ b=⟨−1,2,5⟩ and…

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A: The given vector function is                                   r(t)=ln13-t2i+13+tj-9e-3tk

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Q: Find a vector equation for the tangent line to the curve 7(t) = (5 cos(6t)) i + (5 sin(6t)) j+…

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Q: Find the directional derivative of the function f(x, y) = 2x2y + 6xy at (1, 1) in the direction of a…

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Q: b. Find the directional derivative of the function f(r, y, z) = re" + ye + ze" at the point (1, 1,…

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Q: 2. For a non-zero vector ü(t), show that 1 dü dt u| dt dû dt where û is the unit vector in the…

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Q: A bee with velocity vector r' (t) starts out at (2, 5, -2) at t = 0 and flies around for 1 seconds.…

A: We can answer first question as per the honor policy. Please resubmit other parts as well to know…

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Q: Find the derivative, r'(t), of the vector function. r(t) = (e-t, 6t – t3, In(t))

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Q: A bee with velocity vector r'(t) starts out at (-3, 2, 4) at t = 0 and flies around for 9 seconds.…

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Q: Let r(t) = (e²t, e−³,5t) Calculate the velocity vector and the acceleration vector at t = 0.

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Q: Find the derivative, r'(t), of the vector function. r(t) = (e-t, 4t - t, In(t) r'(t)

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Q: Find the directional derivative of the function f(r, y) = 1+5x/j at the point (5, 1) in the…

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Q: time ?

A: Uploaded question :   The rocket is launched at time t = 0 with r (0)=2i-6j+4k. If the initial…

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