In the previous problem, the solution of the eigenvalue problem is
Select the correct answer.
?
A. 
, where 
; 
B. 
, where ;
C. 
, 
D. 
,
E. ,
Answer: A
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Find the product and simplify. Assume all variables represent nonnegative real numbers.(-
)2
A. 30x B. -30x2 C. 30x2 D. -30x
Solve the problem.The hydrogen potential, pH, of a substance is defined by pH = -log [H+], where [H+] is measured in moles per liter. Find the pH of a sample of lake water whose [H+] is 3.05 × 10-9 moles per liter. (Round to the nearest tenth.)
A. 8.5 B. 10.1 C. 7.3 D. 6.4
The width w (in millimeters) of successive growth spirals of the sea shell Catapulus voluto, shown in the illustration, is given by the function 
, where n is the spiral number. To the nearest tenth of a millimeter, find the width of the second spiral.
?
?
A. 8.4 mm B. 3.1 mm C. 2.5 mm D. 4.2 mm E. 11.4 mm
Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $150,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert?
A. $180,000 B. $300,000 C. $270,000 D. $239,400