Solve the problem.If two fair dice are rolled, find the probability of a sum of 6 given that the roll is a double.
A.
B.
C.
D.
Answer: D
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Decide whether the two sequences of operations give the same result.Dividing r by 5, then dividing s by 5, then multiplying the quotients; multiplying r and s, then dividing by 5.
A. Yes B. No
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = 7yi + 9xj + z3k; C: the counter-clockwise path around the perimeter of the triangle in the x-y plane formed from the x-axis, y-axis , and the line y = 3 - 5x
A.
B.
C.
D. -
Find the product.(4x - 4y2)2
A. 16x2 - 32xy2 + 16y4 B. 8x2 + 8y4 C. 16x2 + 32xy2 + 16y4 D. 16x2 + 16y4
By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit L and the smallest integer N such that for
otherwise indicate divergence.an =
A. L = , N = 6
B. L = 0, N = 5
C. diverges
D. L = , N = 8