Evaluate the line integral ∫cf⋅dr, where f(x, y,z)=−4xi−3yj+4zk and c is given by the vector function r(t)=⟨sint, cost, t⟩, 0≤t≤3π/2.

The line integral   where and c is given by the vector function is  .

We have and

Now,

Therefore, the line integral   where and c is given by the vector function is  .

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(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

a: 1/6, j: 1/4

step-by-step explanation: you are welcome