(a) find the unit vectors that are parallel to the tangent line to the curve y=2sin(x) at the point (pi/6, 1).
(b) find the unit vectors that are perpendicular to the tangent line.
(c) sketch the curve y=2sin(x) and the vectors in parts (a) and (b), all starting at (pi/6, 1).

Which is the graph of f(x) = (4)x? image for option 1 image for option 2 image for option 3 image for option 4

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.

Oliver had $50 on the day before his birthday. after he recived some money for his birthday , he had $75. write and solve eqaution to find how much money oliver received for his birthday. x+50=75