The unit tangent vector of the function ⟨2t+1,(3t+1)^2,(2t+1)^3⟩ at the point with parameter value t=1 is: a, b, c, d or e?

Q: Find a vector tangent to the curve of intersection of the two cyclinders x2 + y2 = 50 and y? + 22 =…

A: Find a vector tangent to the curve of intersection of the two cylinderx2+y2=50 and y2+z2=50 at the…

Q: Evaluate along the curve y=x2 from (-1,1) to (2,4). First find the vector valued function r(t)…

A: Curve length problem..

Q: IDENTIFY FROM THE THE SURFACE BY EUMINATING THE PARAMETERS VECTOR VALUED Function 3 COS v Cos ui + 3…

A:

Q: How is the binormal vector related to the curve’s torsion? Give an example?

A:

Q: 6. Find the unit vectors that are parallel to the tangent line to the curve 2x3 at the point (2,…

A: The given curve is y=2x33 at the point 2,163. Calculate the unit vector that are parallel tot he…

Q: Find the parametric equations of the tangent line to the curve represented by the vector function…

A:

Q: Determine equations of nomral line and the tangent plane to parametric surface defined by…

A:

Q: Find a vector-valued function whose graph is the indicated surface.

A: Given : The plane x + y + z = 6.   To find a vector-valued function.

Q: A hiker begins at the origin and walks in a straight line in the direction of the vector (1,1) for…

A:

Q: What is meant by a tangent vector?

A: To Explain:  a tangent vector

Q: (6) calculate the inrtantanco us rate of at point (4,1,2) in the change of 9 direction of the vector…

A: This is a question of multivariable calculus, the calculus of several variables.

Q: Represent the plane curve by a vector-valued function

A:

Q: What is a differentiable curve’s unit tangent vector? Give an ex-ample.

A: Given:What is a differentiable curve’s unit tangent vector? Give an ex-ample.

Q: What is special about the derivatives of vector functions of con-stant length? Give an example.

A: What is special about the derivatives of vector functions of constant length

Q: Find the normal vector to the tangent plane of z = 2u at the point (4,8,3) X component y component…

A: We need to find normal vector component.

Q: Find a vector tangent to the curve of intersection of the two cyclinders x2+y2=32x2+y2=32 and…

A: Solution: The objective is to find a vector tangent to the curve of intersection of the two…

Q: Represent the plane curve by a vector-valued function.

A: Vector - valued Function  represented as   r→(t)=X(t) i ^+Y(t) j^

Q: Evaluate the directional derivative Duf (3, 4) if ƒ (x,y) = /æ² + y² and u is the unit V vector in…

A:

Q: An object moves with velocity vector (t,t?,-t) starting at (1,2,3) when t=0. Find the function r…

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: A normal vector to the tangent plane for the at the point (1, 1, 1) is: y surface x =

A: A(1, 1, 1)z= xyf(x,y,z) =xy-zfx=yfy=xfz=-1Normal vector to the tangent plane for the surface;n^…

Q: Represent the line segment from P to Q by a vector-valued function and by a set of parametric…

A: we have to represent the line segment from P to Q by a vector valued function and by a set of…

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: Represent the plane curve by a vector-valued function y=1-x^2

A:

Q: Find the normal vector to the tangent plane of z = 6e- Öy at the point (12, 24, 6). x component = y…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: an object is moving in 3-dimensional space with velocity vector v(t)=(sin(t),t,t^2) starting at…

A: Consider the given velocity vector: vt=sint,t,t2 Find the position vector: Integrate velocity vector…

Q: find a vector parametrization for the line with thegiven description. Passes through (1, 1, 1)…

A: To find the vector parameterization for the line that passes through the point (1, 1, 1) and…

Q: Find a unit vector tangent to the curve of 25 intersection of – x? – 2y3 = z - 3 and 4y – 3z? =- x+…

A: This is a problem of vector calculus.

Q: Find the normal vector to the tangent plane of z 7ea-2y at the point (4,8,7) x component = y…

A: The tangent plane is given as z=7ex2-2y and the point is (4,8,7) Let f(x,y,z)=7ex2-2y-z Then obtain…

Q: Find the derivative of f at the point P( – 3, – 2) in the direction of = ( – 1, – 1) | -(– 3, – 2) =…

A: Given, f(x,y)=-0.02x2y3   (b) The directional derivative for a function f(x,y) in the direction of…

Q: Find the directional derivative of in the direction of the vector (1,3) at the point (-1,2)

A:

Q: 7(t) =

A:

Q: Find equations of the normal line and the tangent plane to the parametric surface defined by the…

A: NOTE: Refresh your page if you can't see any equations. . the given point is  compare coordinate on…

Q: What is the connection between vector functions and space curves?

A:

Q: Find the unit vectors that are parallel to the tangent line to the parabola y = x² at the point (5,…

A: Given: y=x2 at the point (5,25)

Q: give two example of tangent vector on manifold

A: Manifold is a topological space that which is almost similar to a euclidean space near to each of…

Q: Find a vector equation for the tangent line to the curve of intersection of the cylinders x2+y2=25…

A:

Q: Find a vector parametrization for the line with the given description. Perpendicular to the…

A:

Q: (a) What is the maximum directional derivative of g(x, y) = y²e2¤ at (2, – 1) and in the direction…

A:

Q: find the directional derivative of the function in the direction of the vector v

A:

Q: What is special about the derivatives of vector functions of constant length? Give an example.

A:

Q: (B) At point (1,5), Find the Vector that is tangent and Normal to the curve: X' = 2y + 10

A:

Q: Find a unit vector pointing in the direction in which the maximum rate of change occurs for the…

A: Consider the formula for vector ? f (x, y) in the direction of the maximum rate of change for the…

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A:

Q: Prove the Sum and Di¡erence Rules for vector functions.

A: Let the vectors are, We have to prove,

Q: Find the displacement vector with initial point A(-3,4) and terminal point B(1,1) and determine the…

A:

Q: to Dara bala y=XZ. Find the unit vectors that are parallel to the tangent line Dara bola y = x² at…

A:

Q: Represent the plane curve by a vector-valued function. y = x + 5

A: To Determine: represent the plane curve by a vector function . Given: we have a function y=x+5…

Q: Represent the line segment from P to Q by a vector-valued function and by a set of parametric…

A: Given information: The points are P(0, 0, 0), Q(5, 2, 2). Calculation: Find the vector valued…

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: Solution