Q4: Find the unit tangent and unit normal vector at t = 2 on the curve x = t? – 1, y = 4t – 3, z = 2t2 – 6t where t is any variable. |

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

A: Curl of a vector function is ∇ x v

Q: i If (a,ß), a<0 is the unit vector that is parallel to the tangent line to the curve y=-1x²-x at the…

A: The equation of the given curve is            y = -x2 - x        =&gt; dy/dx = -2x - 1 So, slope of…

Q: ü=i- where Use directional derivative definition to find Df (2.1) for the unit vector f(x y) = xy +1

A:

Q: tangent plane

A:

Q: Consider the function f(x.y) = 2x -y - 3 and the point (2, - 1). a. Find the unit vectors that give…

A: Given function is fx,y=2x2−y2−3

Q: On a metal plate in the shape of a rectangle, the temperature at a point (x,y) is given by; 100 3x²…

A:

Q: 4. Find the unit tangent vector T(t) for the vector function: r(t) = .

A: To find the unit tangent vector.

Q: Calculate the directional derivative of f(x, y) = x²y in the direction of v = −3i+2j at the point P…

A:

Q: 1-x² - y² -3 For the function f(x,y) that has a positive component. = " find a unit tangent vector…

A: The function is For finding the unit…

Q: Consider the following equation. (y - x)² + 2 = xy - 3 Check that the point (2, 3) lies on the…

A:

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

A:

Q: Suppose that distances are measured in lightyears and that the temperature T of a gaseous nebula is…

A: Suppose that distances are measured in lightyears and the temperature T of a gaseous nebula is…