Find the length of the indicated portion of the curve.r(t) = (5 + 2t)i + (7 + 3t)j + (4 - 6t)k, -1 ? t ? 0
A. 7
B. 5
C. 8
D. 9
Answer: A
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Find the indicated partial sum for the sequence.-1, 1, -1, 1, . . .; S7
A. - 1 B. 1 C. -2 D. 0
Use the formula for to evaluate the expression.
A. 3,628,800 B. 5 C. 725,760 D. 10
Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 5 sin t, y = 4 cos t, 0 ? t ? 2?
A. +
= 1
Counterclockwise from (5, 0) to (5, 0), one rotation
B. +
= 1
Counterclockwise from (0, 4) to (0, 4), one rotation
C. +
= 1
Counterclockwise from (0, 5) to (0, 5), one rotation
D. +
= 1
Counterclockwise from (4, 0) to (4, 0), one rotation
Solve the problem.How many distinct triangles are determined by 7 points lying on a circle, where the vertices of each triangle are chosen from the 7 points ?
A. 35 B. 840 C. 21 D. 210