Find the work done by the force field F on a particle moving along the given path. F(x, y, z) = yzi + xzj + xyk C: line from (0, 0, 0) to (9, 7, 5)

Q: As the number of hours since you ate protein increases from 2 to 2.75 hours what is the average rate…

A: Given: At 2 hours B1=1100 mg/L At 2.75 hours B2=1025 mg/L

Q: Let C₁ (t) esti + 7 sin(t)j + tªk and c₂ (t) = e¯5ti + 3 cos(t)j - 4t¹k. (Enter your solution as a…

A: Given that c1(t) = e5ti + 7sin(t)j + t4kc2(t) = e-5ti + 3cos(t)j -4 t4k

Q: Let x = (1, 1, 1, 1)T and y = (8, 2, 2, 0)T . Verify that x − p is orthogonal to p.

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Q: Suppose that the acceleration vector is a(t) = (e²t + 2t, e²t – 3,0) and also that the velocity…

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Q: Suppose F(x, y) = (x² + 6y, 2x − 2y²). Use Green's Theorem to calculate the circulation of around…

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Q: A particle's position vector is given by: F(t) = R(1+ cos(wot + q cos wot))& + R sin(wnt + q cos…

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Q: Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then 0…

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Q: Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then 0…

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Q: F.dr for F(x, y, z)=(x²)i+(x²y)j-(y²z)k where C is given by the vector 1. Evaluate Fa C function…

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Q: 1. The acceleration of an object is a=2i+4j+6k.  Compute the position vector r(t) if the object at…

A: a=double derivative of position vector

Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

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Q: Evaluate the vector-vall function at each giver r(t) = cos(t)i + 3 sin(t)j (a) r(0) = (b) г(π/4)=…

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