Find the principle unit normal vector to the curve given below at the specified point. Shortcut ok. Show a sketch of the curve to justify the direction that you choose for N. r(t) = ti+=j, i+²j. t t=4

Q: find a unit normal vector UN to the curve y = x at the point p(1,3)?

A: The given curve is y = x3, we can write it as x3 - y = 0 = f(x,y,z), where z = 0

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: The tangent vector to the curve is rt=3costi+3sintj+3tk , 0≤t≤π. We have to find the unit tangent…

Q: Q2. What is the curl of the following vector function? v =x

A: Curl of a vector function is ∇ x v

Q: H.W. Find the unit normal vector to the curve at t=2, r(t) = 4t i-3 t j.

A: Unit normal vector is N(t)=T'(t)‖T'(t)‖ here T(t) is unit tangent vector and T(t)=r'(t)‖r'(t)‖ So we…

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Q: 6) Find the tangent slope of the curve graph below. Make sure the tangent line passes through 2 or 3…

A: Given, the graph of the curve, we have to find the tangent slope of this curve.

Q: Find the the given curve e length of -64e4€ 27 3. 3y 34 32

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Q: 3 B. C. provide D. The Line A. -42-5 A. (-10,-10) B. (-5,0) C. (0, -5) D. (-5.-5) x²- Find the 202-6…

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Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° < 0 < 360°.) V2 % = 9 |v| =

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Q: ind the curve's unit tangent vector. Also, find the length -(t) = (5cos t)i + (5sin t)j + (V7 t)k,…

A: length is 4(root 2) Pi

Q: Lines /1 and l2 are parallel and 13 is a transversal. 1. 3. Which statement is true? A m/1= 90 B.…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: find a normal vector to the plane.

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Q: Sketch the curve traced out by the vectorvalued function. Indicate the direction in which the curve…

A: Let F:R2→R, and the parametric equation given is , for t≥0.Since, there are 3 components to F(t),…

Q: Dz: tow ord the find the unit vector Curve y =x? at

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Q: The vector n = (7, –4, 2) is normal to the tangent plane to z = h(x, y) at (4, –5,6). Estimate…

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Q: Find the principal unit normal vector to the curve at the specific value of the parameter. 3. r(t)…

A: (3).  The given vector is:  r(t)=t i+ 12t2 j

Q: Experiments show is that in temprature field, heat flows in the direction of maximum decrease of…

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: BIALS

A: we have to find the equation of tangent and normal to the curve y=xa+ax at a2,52