r = |F|, = xi + 4yj - 2zk Let it be V(6r), v²(7r) v°(7r) find all of

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Q: Find the work done by the force field F on a particle moving along the given path.

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Q: Find V (V x F), if F(r, y, z) = 7e""i + 2xe"j- 3e""k.

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Q: '4 I x1/2 dxi n = 8 (a) Approximate its value by using the Trapezoidal Rule.

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Q: ∆ XYZ ≅ ∆ PQR, XZ = 3y – 7, PR = 2y, RQ is 25 less than 3PR. Find y, XZ, PR, and YZ

A: Given: ∆ XYZ ≅ ∆ PQR  XZ = 3y – 7 PR = 2y RQ=3PR-25

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Q: Find Duf at P. f (x, y) = 3(1 +wy)"; P(1,3); 1 1 i+ j V2 u = NOTE: Enter the exact answer. Duf ||

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

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Q: Find Duf at P. f (x, y) = 3(1+ xy)/"; ху)"%; Р(3, 5); и%— 1 1 i+ j V2 u = NOTE: Enter the exact…

A: Given function is  f(x,y) = 3(1+xy)3/2 and point P(3,5)  And u= 1/√2i+1/√2j  We have to find out the…

Q: K is between J and L, KJ= 46, and KL = 47. Find JL. Y f(X) Vx X,

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Q: The x, y, zER, subject to the condition yz + zr + xy = 12. Then greatest value of rvzis (a) 6 (b) 8…

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Q: Find V · (V × F), if F(x, y, z) = 6e²*i+ 5xe"j – 2ev³k. %3D -

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Q: Q4: Let z = 2x2 – y? . Find all points at which |Vz| = 4. Then find V|Vz| at the point (1,4).

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Q: Find r(t) if  r'(t) = t4 i + et j + 2te2t k  and  r(0) = i + j + k.

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Q: Q4: Let z = 2x² – y2 . Find all points at which |Vz| = 4. Then find V|Vz| at the point (1,4).

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Q: +S,f= V2 2R then the constants R TCX If f(x) Rsin .2 and f(x)dx %3D and S are respectively.

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Q: Q3/ Find length of the cardioid r=a03from 0 = 0 to 0 = t %3D

A: By using length formula we find the length of given cardioid as follows :

Q: a) Given that y = 2t2 +t - 6 and x t2 -3t +5, %3D Find x in terms of t i. ii. in terms of t

A: Hello thanks for your question but according to our policy I am answering the very first question.…

Q: 7. Find r(t) if r'(t) = 6e³ti r(0) = 5i + 3k. + costj + sec²t k and

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Q: 2z - v2 Find I = dz, where C = |z + i| = 1, CCW z2 + 0.25i

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1.…

Q: I. For z = 3 – j5 and z2 = -2 +, find the rectangular form of the following: d. m[²2] Im e. ? Re f.…

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Q: Q2: y" + ay' + by f(t) Find a,b and f(t) so that Yp1 = et +t? – 1, Yp2 = e2t + t2 – 1 %3D %3D

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Q: Find V. (V × F), if F(x, y, z) = e²i+ 3xe"j – 7ev*k. - V · (V × F)

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Q: Let z = axy1 + bx³y*, with a and b constants. P is a point given by (1, 1) and it is known that: dz…

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Q: Find the values of ∂z/∂x and ∂z/∂y at the points z3 - xy + yz + y3 - 2 = 0, (1, 1, 1)

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Q: f f Find Af = where f(r, y) = In (9r2 + 5y2 – 3r). %3D

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Q: Find V · (V × F), if F(x, y, z) = e2²i+ 7xe'j – 2e²k. - V·(V × F) =

A: Solved below

Q: The x, y, ze R*, subject to the condition yz + zr + xy = 12. Then greatest value of rvg is %3D (a) 6…

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Q: Find r(t) for the given conditions. r'(t) = 8ei + 9e'j, 9efj, r(0) = 2i %3D r(t) =

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Q: Q2: y" + ay' + by f(t) Find a,b and f(t) so that Ypı = et +t? – 1, Yp2 = e2t + t2 – 1

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