Q: Match each graph with its equation. F(t) = [cos(t), sin(t), t] v F(t) = [t cos(t), t sin(t), t]…

A: The given problem is sketch the regions of 3d parametric equations and match the following with…

Q: O A cameraman is filming a marathon. He wants to keep his camera pointed at the lead runner, but…

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Q: Find: L [ t sin h 6t ]

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Q: Differentiate with respect to t. y = 7sin(x - t) -(7sin(x-t)) = dt

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Q: (c) Use a calculator to verify that Σx = 135, Σx2 = 7055, Σy = 151, Σy2 = 4815, and Σxy = 3193.…

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Q: For the following exercises, determine the slope of the tangent line, then find the equation of the…

A: Here given that x=3sint,   y=3cost,    t=π4 We have to find the slope of the tangent line at t=π4…

Q: A hang glider is spiraling upward due to rapidly rising air along the curve r(t) = (3 cos t) i+ (3…

A: Given,            r(t) =3 cos ti + 3 sin tj + t2 k

Q: An amusement park has two ferris wheels that both load passengers at the bottom, 3 m above the…

A: Given that , Height above the ground = 3m Diameter of larger Ferris wheel = 25m Diameter of small…

Q: Graph the curve described by the function, indicating the positive orientation. r(t) = (2 cos t)i +…

A: The given function is- r(t) = (2cos t)i + 3j + (2sin t)k, for 0 ≤ t ≤ 2π

Q: Match each graph with its equation. r(t) = [t cos(t), t sin(t), t²] r(t) = [cos(t), sin(t), t] r(t)…

A: We have to match the graph

Q: r=ulnv, y=v² sin u

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Q: H(t) = A sin(Bt) + C models the height (in meters) of the tide in Happy Harbor at time t (hours…

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Q: El iminate the parameter (f) from the following. x(カ=-2sint yの= 2c0St

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Q: a. If T(vi) = v, for each i, show that T = ly.

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Q: Consider the function r(t) = (2 cos t)i + (8 sin t)j. Find all the points on the function at which r…

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