Use l’Hospitals’ rule to explain the behavior as x ->0
What will be an ideal response?
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Find the exact solutions to the quadratic equation in the complex numbers.x2 - 4x + 29 = 0
A. 2 ± 5i B. 4 ± 10i C. -2 ± 5i D. 7, -3
Provide an appropriate response.A card is selected randomly from a standard deck of 52 cards. LetA = event that the card is an ace.Give examples of events B, C, and D such that A and B are independent, A and C are dependent but not mutually exclusive, and A and D are mutually exclusive.
What will be an ideal response?
Use the Chain Rule to differentiate the function. You may need to apply the rule more than once.f(x) = (-x8 - 2x - 
)3
A. f'(x) = -3(x8 - 2x - 
)2)(8x7 - 2 - 
)
B. f'(x) = -3(x8 - 2x - 
)2)
C. f'(x) = 3(-x8 - 2x - 
)2)
D. f'(x) = 3(-x8 - 2x - 
)2)
Evaluate the line integral using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify your results.
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C: circle 
clockwise from
to 
.
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A. 
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B. 
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C. 
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D. 
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E. 
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