Find the vector equation of the tangent line to the curve given by 7(t) = sin ti + cos (2t)j + tan tk at t = T. %3D %3D F(t) = (1,0, 0) + t(-1,0, 1) 7(t) = (0,0, 1) +t(-1,0,1) %3D %3D O A O B

Q: Find T, N and B for the curve 7 (t) = (4 cos(5t), 4 sin(5t), 5t) at the point t = 0 Give your…

A: Given that, r→t=4 cos 5t,  4 sin5t,  5t  at the point   t=0

Q: Find an equation of the tangent line at the given point on the curve. (a) x = 2 – 3 cos 0, y = 3+ 2…

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Q: Consider the curve given by the equation eªy + x² cos y cos y = 3x - y +2. 0). Find y/(0) (i.e. the…

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Q: Find the derivative of y = In O O a.) dy dx =In(5) +4ln(x) —In(cosx) 4 1 dx X COSX b.) dy = c.) dy 1…

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Q: Find T', N and B for the curve r(t) = (2 cos(5t), 2 sin(5t), 4t) at the point t = 0

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Q: Find the vector equation of the tangent line to F(t) = (2 sin 2t, cos 2t, – 6t) at the point where…

A: Consider the given vector. rt=2sint,cos2t,-6t   Find the derivative of the vector with respect to t.…

Q: Find T, N and B for the curve F(t) = (5 cos(4t), 5 sin(4t), 3t) at the point t = 0 Give your answers…

A: We need to find tangent, normal, binormal vectors.

Q: Consider the curve where a is the last digit of your exam number. (a) Compute=7 (t) at t € [0, +∞).…

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Q: 4. Find the unit tangent vector T(t) to the curve r(t) = (In(cos t), cost, sin t) at time t. (a)…

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Q: which one of the pairs are linearly dependent? a) O f(x)=e*, g(x)3xe b) f(t) =t and g(t) =t² c) f(t)…

A: Two functions f(x) and g(x) are linearly dependent if there exists a , b , both not equal to 0 and…

Q: Find 7, Ñ and B for the curve (t) = (4 cos(3t), 4 sin(3t), 2t) at the point t = 0 Give your answers…

A: We have to find the  for the given curve.

Q: baseball is hit at 120 ft/sec from the ground at a 300 angle to the horizontal from a height of 3…

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Q: 24. A point is moving along a curve that is given as: R(!) = (cos 3!)i + (sin 31) j + (31)k. Find:…

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Q: Obtain the gradient to a curve with the parametric equations given by I = In - and y = sinh 2t whent…

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Q: Find the domain of the vector function 7(t) = Domain: {t| <t< }

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Q: Find T, N and B for the curve 7(t) (2 cos(2t), 2 sin(2t), 5t) at the point t = 0 Give your answers…

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Q: The slope of the tangent line to the curve parametrized by the equations x (t) = -2(cos(t) + t…

A: Slope of tangent is equal to dy/dx.

Q: Determine the equation of the tangemt line to c(z) = cot (Tz)sin-1(z) at the point where z=1/2.

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Q: Consider the curve defined by r(t) = (cos(t) + t sin(t))+ (sin(t)- t cos(t))] for t > 0. (a) Compute…

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Q: Find the equation of the tangent plane to the surface z = cos(6x) cos(3y) at the point (-2π/2,…

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Q: Find T, N and B for the curve r(t) = (4 cos(3t), 4 sin(3t), 4t) at the point t = 0 Give your answers…

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Q: Find the length of the curve 7 (t) = (4 cos(5t), 4 sin(5t), 5t) for – 3 < t < 9 Give your answer to…

A: Given: r→t =4cos(5t), 4sin(5t), 5t  for -3≤t≤9

Q: 1. The parametric equations for the astroid below are x = sin' (t), y =- cos (1) on 0<t < 2a. a)…

A: Given, the parametric equation for the astroid below are  First need to find the stating point on…