The resistance y in ohms of 1000 feet of solid metal wire at 77°F can be approximated by the model
,
, where x is the diameter of the wire in mils (0.001 in). If the diameter of the wire is doubled, the resistance is changed by approximately what factor? In determining your answer, you can
ignore the constant -0.47.
?
A.
B.
C. 4
D. 3
E.
Answer: E
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Find the derivative of y with respect to x, t, or ?, as appropriate.y = e(10 + x6)
A. e(10
+ x6)
B. e(5 + 6x5)
C. 10 6x5) e(10
+ x6)
D. (10 6x5) ln (10
x6)
Simplify the rational expression.
A.
B.
C. -
D.
Find dy.y = csc(3x2 - 1)
A. -6x csc(3x2 - 1) cot(3x2 - 1) dx B. 6x csc(3x2 - 1) cot(3x2 - 1)dx C. -6x csc(6x) cot(6x) dx D. -3x2 csc(3x2 - 1) cot(3x2 - 1) dx
Solve the problem.Ms. Adams received a bonus check for $12,000. She decided to divide the money among three different investments. With some of the money, she purchased a municipal bond paying 5.8% simple interest. She invested twice the amount she paid for the municipal bond in a certificate of deposit paying 4.1% simple interest. Ms. Adams placed the balance of the money in a money market account paying 3.1% simple interest. If Ms. Adams' total interest for one year was $428.40, how much was placed in each account?
A. municipal bond: $1200 certificate of deposit: $2400 money market: $8400 B. municipal bond: $700 certificate of deposit: $1400 money market: $9900 C. municipal bond: $950 certificate of deposit: $1900 money market: $9150 D. municipal bond: $1700 certificate of deposit: $3400 money market: $6900