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Answer:
Hence, the answer is 86.42°.
Step-by-step explanation:
We are asked to find how many degrees is the painted spot turning in 0.75 s.
Let us consider that α denote the angle spot is turning in 0.75 sec.
As in 0.75 sec the height of table top is 12.
Hence we can use the trignometric identity to find the measure of angle α.
as
where P denotes the perpendicular i.e. the height of table top.
and B denotes the base i.e. the number of seconds.
Here P=12 and B=0.75
Hence,
Because
therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k = constant.
Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
= 2x³ + 4x² - 31x + 7
Answer: f(x) = 2x³ + 4x² - 31x + 7
therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k = constant.
Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
= 2x³ + 4x² - 31x + 7
Answer: f(x) = 2x³ + 4x² - 31x + 7