Test the vector field F to determine if it is conservative.F = 
i + zex+yj + ex+yk
A. Not conservative
B. Conservative
Answer: B
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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 2 for r(t) = (5t - 3t4)i + (4 - t)j + (3t2 - 4t)k
A. a(2) = -144i - j + 6k B. a(2) = 144i + 6k C. a(2) = -36i + 6k D. a(2) = -144i + 6k
Solve.The product of a number and 5 is four times the sum of that number and 10. Find the number.
A. 45 B. 4 C. 40 D. 10
Provide an appropriate response.If a relation exists between x and y, then we say that x 
y or that y 
x, and we write 
A. corresponds to; depends on B. depends on; corresponds to C. corresponds to; corresponds to D. depends on; depends on
Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.10log 30 - log 5
A. 6 B. 1,000,000 C. 30 D. log 25