For the vector field~V= (yz, xz, xy) we need the line integral along thecurve parameterized by~r(t) = (t3,t2,t) witht∈[1,3]. First calculate it directly by using the given parameterization, that is evaluate thisline integral. Then, check is the field is irrotational. If yes, obtain its potential from∇Φ =~V. Use the Fundamental Theorem of Calculus for Line Integralof Vector Fields to evaluate the integral.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

it's

its 8

step-by-step explanation:

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step-by-step explanation:

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