Consider the helix r(t) = (cos(1t), sin(1t), −1t). Compute, at t = 픔 A. The unit tangent vector T = ( B. The unit normal vector N= ( C. The unit binormal vector B = ( Qunoturo.
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- For the curve R(t) = (Sin2t, t, cosat) Find the Unit tangent vector.Consider the helix r(t) = (cos(-4t), sin(-4t), 3t). Compute, at t = 픔 A. The unit tangent vector T = ( 000 B. The unit normal vector N = (00 C. The unit binormal vector B=( 000 D. The curvature k = E|OQ1) Find the tangent &normal vector for the curve r-asint?i+acos tj +bt?k
- Please calculate the unit tangent vector and curvature of the following curve. Thank you.Find a unit vector parallel to the tangent line of y = x at (2,8). What angle does this vector make with a horizontal line in the positive direction?Consider the curve given by the equation y2+x3=0. Find its curvature at the point (−1,1).
- Consider the helix r(t) = (cos (4t), sin(4t), -2t). Compute, at t = : vector T = (0 000 A The unit tangent B. The unit normal vector N ->> C. The unit binormal vector B = ( D. The curvature K =I would need some help with problem #18, please? (a) Find the unit tangent and unit normal vectors T(t) and N(t) .(b) Use Formula 9 to find the curvature.Consider the helix r(t) = (cos(-3t), sin(-3t), -4t). Compute, at t = : A. The unit tangent vector T = ( B. The unit normal vector N = ( C. The unit binormal vector B = ( D. The curvature K =
- a)What is the slope of the tangent line to the curve y=2sin4x at x=⊼(pie)/4? b) Find a unit vector that is perpendicular to both u=(2,1,2) and v=(2,–2, –1) .Consider the attatched curve. Describe the unit tangent vector to the curve at the point t = π. (Hint: basically, find an equation for the plane that is normal to the curve at the given point)Consider the following vectors u = (-1, 1, 2), v = (3, 6,-1) and w = (0, 1,-4). Find %3| i. The distance between u and v ii. v.w (dot product) iii. The angle between w and u iv. The vector perpendicular to u and v Find the arc length of the curve y = log(1/cosx) from x = (T/4) to x = - (π/ )