Test the vector field F to determine if it is conservative.F =
i + zex + yj + ex + yk
A. Conservative
B. Not conservative
Answer: A
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Find the unit tangent vector of the given curve.r(t) = (3 + 2t3)i + (8 + 10t3)j + (6 + 11t3)k
A. T(t) = i +
j +
k
B. T(t) = i +
j +
k
C. T(t) = i + 2j +
k
D. T(t) = 2i + 10j + 11k
Use the distributive property to remove parentheses and write the product as a sum. Simplify if possible.6(6x + 2)
A. 36x + 2 B. 48x C. 12x + 8 D. 36x + 12
Simplify.( + 2)(
- 2)
A. 5 - 2
B. 1
C. 9
D. 3
Use a graphing calculator to plot the data and find the quadratic function of best fit.A small manufacturing firm collected the following data on advertising expenditures (in thousands of dollars) and total revenue (in thousands of dollars). Find the quadratic function of best fit.
A. R(x) = -0.015x2 + 4.53x + 6123 B. R(x) = -0.024x2 + 7.13x + 6209 C. R(x) = -0.31x2 + 2.63x + 6128 D. R(x) = -0.091x2 + 5.95x + 6337