Solve the problem.Suppose a tank contains 100 gallons of a solution of 10 lb of salt dissolved in water, which is kept uniform by stirring. Pure water is allowed to flow into the tank at a rate of 3 gallons per minute, and the mixture flows out at a rate of 2 gallons per minute. How long will it take for the amount of salt in the mixture to be reduced to 2.8 lb?
A. Approx. 49 min
B. Approx. 89 min
C. Approx. 69 min
D. Approx. 35 min
Answer: B
Mathematics
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Provide an appropriate response.Find the sum of the series 
.[Hint: Write the series as 1 + 4 + 
= 5 + 
+ 3
+ 
.]
A. 5e B. 8(e - 1) C. 3e + 5 D. 9e - 11
Mathematics
Provide an appropriate response.The error formula for the Trapezoidal Rule depends upon i) f(x). ii) f'(x). iii) f'' (x). iv) the number of steps
A. ii and iv B. i, iii, and iv C. iii and iv D. i and iii
Mathematics
Write the expression in the standard form a + bi.
A. 
- 
i
B. 
- 
i
C. 
+ 
i
D. 
+ 
i
Mathematics
Show that the functions f and g are identically equal.f(x) = csc x ? sec x, g(x) = cot x + tan x
What will be an ideal response?
Mathematics