Evaluate the expression without using a calculator, and write your answer in radians.
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What will be an ideal response?



Mathematics

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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 4 for r(t) = (3t2 + 4t + 7)i - 4t3j + (8 - t2)k

A. v(4) = 28i + 192j + 8k B. v(4) = 16i - 64j - 4k C. v(4) = 20i - 192j - 8k D. v(4) = 28i - 192j - 8k

Mathematics

Evaluate the indicated function with the given information.Find cos 2x if sin x = -   (in fourth quadrant).

A.
B. - 
C. - 
D.

Mathematics

Solve the problem.Consider the generic weighted voting system . Which of the following mathematical statements is equivalent to saying that P1 is a dictator?

A. w2 + w3 + . . . + wN < q and w1 < q B. w1 ? q C. w1 > w2 D. w1 > q E. none of these

Mathematics

Solve the problem.In the formula L = L0, L0 is the length of an object in a spaceship moving at velocity v and c is the velocity of light. (a) A spaceship is moving away from Earth at a velocity of v = 0.70c. What is the length of a meter stick in the spaceship as it appears to an observer on Earth? Round your answer to the nearest tenth of a meter if necessary. (b) Find L.

A. (a) 0.8 m, (b) does not exist B. (a) 0.2 m, (b) 1 C. (a) 0.5 m, (b) -1 D. (a) 0.7 m, (b) 0

Mathematics