Find the work done by the force F in moving an object from P to Q. F = 2i – 4j; P(0, 0), Q(3, 6)

Q: = f(x,y) = e²+y. For a unit vector u in R?, it is fü(0, 0) = 1. Let z true that

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Q: Find the work done by the force F = y2i + x3j, where force is measured in newtons, in moving an…

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Q: Find the work done by a force F = 4i + 9j (in N) in moving an object in a straight line from point…

A: Given:           F=4i+9j

Q: (NOT IN SCALE) Determine the unit vector of of a force vector F, where 01 = 55°, 02 = 30°, and |F| =…

A: To find - Determine the unit vector of a force vector F→, where θ1 = 55°, θ2 = 30°, and F→ = 340 N.…

Q: Find the velocity and acceleration vectors in terms of u, and ue en r=6 sin t and 0= 9t

A: The velocity is given by            v = r' ur +rθ' uθandThe accerleration is given by        a =r"-r…

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A: Given information: The values of the partial derivatives of the function are fx(0,1)=3, fy(0,1)=2.…

Q: Find the work W done by a force F=31+7j Ib in moving an object in a straight line from point A (0,…

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Q: 9. Find the work done by the force F(x, y, z) = e³i + ln(x)j + 3zk, in moving an object over the…

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Q: Find the work done by the force F (r, y) = yxi– (x – y) j over the straight line from (1, 1) to…

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Q: Find the work done by the force F(x, y) = acting on a point along the smooth curve C, where C is the…

A: The given question is from the topic of Advanced Calculus

Q: Find the work done by the force F = xyi + (y - x)j over the straight line from (1,-3) to (3,-9).

A: Given force is F→=xyi^+y-xj^ and straight line coordinates are 1,-3 and 3,-9

Q: Find the work done by the force F in mving an object from P to Q. F = 2i – 4j; P(0, 0), Q(3, 6)

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Q: Find the work done by the force F in moving an object from P to Q. F = 10i + 4j; P(2, 3), Q(6, –2)…

A: Given : F =10i + 4j , P(2,3) , Q(6,-2) r→ = (x2 - x1)i + ( y2 - y1)j     = (6-2)i + (-2 - 3)j     =…

Q: The work done by the force F = in the displacement along the path C:y=x² from the point (0,0) to…

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Q: if A=i+j+X, B=zi-j+3ksfind vector normal to B and in plane of A and B- ans. $2(3i+9j+x)

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Q: Q3: If the resultant force acting on the bracket is to be 800N directed along the positive xaxis,…

A: Given The given force is 800N and the given diagram is shown below.

Q: Without findingT and N, write the acceleration of the motion r(t)=(cost+t sint)i+(sint-tcost)j, in…

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Q: 21 Work Find the work done by the force F = xyi + (y – x)j over the straight line from (1, 1) to (2,…

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Q: Determine if the vector filed is conservative and if so find the potential function F (x, y) = 12xyi…

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Q: D. Find the Iimit of the vector position r(t) = e "i+ j+ cos 2t k when t=0

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Q: 6. Find the work done by the force F = 31 – 5j in moving an object from the point (2, 2) to the…

A: Given that the force F=3i-5j moving from the point (2,2) to the point (7,-13). We need to find the…

Q: B) Find a vector parallel to the plane 2x – y – z = 4 and orthogonal to i +j+ k.

A: This is a problem of vector analysis.. we will solve the problem using the concept of vector dot…

Q: Find the work done by the force F= xyi + (y - x)j over the straight line from (1,2) to (3,6).

A: we have to find the work done by the given force

Q: 1.A particle moves once counter clockwise about the triangle with vertices (0,0), (4,0) and (1,6),…

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Q: A force F(x) = 10−2x N applied in the positive x-direction moves an object 3m from x = 2to x = 5.…

A: Given that , Fx=10-2x N Work (W)=?

Q: Find the work done by the force F = xy i + ( y - x)j over the straight line from (1, 1) to (2, 3).

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Q: Find the vectors T and N and the binormal vector B = T x N, for the vector-valued function r(t) at…

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Q: Find the unit tangent vector T(t). r(t) = t²i + tj +4k, P(9, 3, 4) TO) (No Docpopcol

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Q: Find a vector function, r(t), that represents the curve of intersection of the The cylinder x² + y2…

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Q: Find the unit tangent vector T(t). () = r'1 + j + k, P(4, 2, s/3) T(2) =

A: "Since you have asked multiple question, we will solve the first question for you. If youw ant any…

Q: Without finding T and N, write the acceleration of the motion a(t) to the position vector r(t) =…

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Q: The work done by the force F = in the displacement along the path C: r(t)=from the point (1,0,0) to…

A: To find the work done by a force

Q: 2. For a non-zero vector ü(t), show that 1 dü dt u| dt dû dt where û is the unit vector in the…

A: Let u→ be the vector and |u |→ is the magnitude of u.→ unit vector u⏜ is given by:  u^=u→|u→|…

Q: find the distance d(u, v) between u and v in the given exercise.

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Q: If an object moves along the line segment 'c' given by x = t, y = t?, t3 from P(0, 0, 0) to Q(2, 4,…

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Q: Find the work done by the force F in moving an object from P to Q. F = 200i + 45j; P(-1, 1), Q(300,…

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Q: Let r = OP = 3i + 2j + k. A force F = (10, 10, 0) is applied at P. Find the torque about O that is…

A: Given: r=3i+2j+k and f=<10, 10, 0> To find: The torque.

Q: Let r(t) = (sin 2t ,3t, cos 2t), -n SIST, a) Is speed always constant? b) Show that the velocity and…

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Q: Q7) The work done by the force F = 2j to move a particle from the origin to the point (3,3,3) is:

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Q: Find the work done by the force F 3)ix2j in moving (0, 1) (2xy = an object from (1,0) to (0,1) along…

A: It is given that,

Q: Find the work done by the force F(x, y) =(x' – y') i+xy' j acting on a point while travelling along…

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Q: (b) Solve the electric flux through a paraboloid z = x² + y² – 16 that lies below plane z = 0. It is…

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Q: Given two points A(3, 0) and B( ), find the work done by the following force field in moving a…

A: By using property of integration and definition of work done.

Q: B/ show that if u(t) = d cos t + b sin t, where a and b are constant vectors |du d'u dt dt then…

A: B. Given: u(t)→ =a→ cos t+b→ sin t  where a→  and b→du⇀dt=-sin t a→ + cos t  b→d2u⇀dt2=-cos t a→ -…

Q: Without finding T and N, write the acceleration of the motion r(t)=(cost+t sint)i+(sint-tcost)j, in…

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