Find the equilibrium solution of the equation. Use a sketch of the direction field for
to determine whether the equilibrium is stable.u'(t) +
= -1
A. u = -8; stable
B. u = ; unstable
C. u =- ; stable
D. u = 8; unstable
Answer: A
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Find the curvature of the curve r(t).r(t) = (2 + cos 3t - sin 3t)i + (7 + sin 3t + cos 3t)j + 10k
A. ? =
B. ? =
C. ? =
D. ? =
For the given Cartesian equation, write an equivalent polar equation.(x - 17)2 + (y + 3)2 = 289
A. r2 = 34r cos ? - 6r sin ? - 9 B. r2 = -17r cos ? + 3r sin ? + 289 C. r = 34 cos ? - 6 sin ? - 9 D. r2 = 34r sin ? - 6r cos ? - 9
Write a polynomial in two variables that describes the total area of the shaded region. Express the polynomial as the sum or difference of terms.xy 8
A. x2y2 + 64 B. x2y2 - 16xy + 64 C. x2y2 - 64 D. x2y2 - 16xy - 64
Write the words for the dollar amount as you would on a check.$80.94
A. Eighty and dollars
B. Eighty dollars and 94 cents
C. Eighty dollars
D. Eighty dollars and