Find the indicated derivative.Find y " if y = 6x sin x.
A. y " = 6 cos x - 12x sin x
B. y " = - 6x sin x
C. y " = - 12 cos x + 6x sin x
D. y " = 12 cos x - 6x sin x
Answer: D
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Multiply. Write the result in the form a + bi.(6 + 
) (6 + 
)
A. (36 + 
)- 45i
B. 27 - 12
i
C. 45 + 108i
D. (36 - 
)+ (6
+ 6
)i
Find the first four terms of the binomial series for the given function.(1 + 5x)1/3
A. 1 + 
x - 
x2 + 
x3
B. 1 - 
x + 
x2 - 
x3
C. 1 + 
x + 
x2 + 
x3
D. 1 + 
x - 
x2 + 
x3
Solve the problem.How many four-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?
A. 9000 B. 256 C. 8999 D. 10,000
Solve the problem.Points A and B are on opposite sides of a lake. Point C is 81.0 meters from A. The measure of angle BAC is 72°30', and the measure of angle ACB is determined to be 39°10'. Find the distance between points A and B (to the nearest meter).
A. 26 m B. 28 m C. 53 m D. 55 m