Solve the problem.Five more than a number is equal to the difference of forty-one and the number. Find the number.
A. 36
B. 23
C. 18
D. 15
Answer: C
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Find the potential function f for the field F.F = - 
i + 
j - 
k
A. f(x, y, z) = 
- 
+ 
+ C
B. f(x, y, z) = 
+ C
C. f(x, y, z) = ln (y - x - z) + C
D. f(x, y, z)= ln 
+ C
Evaluate the given integral by using three terms of the appropriate series, rounding the result to four decimal places.
A. 0.0215 B. 0.0416 C. 0.0440 D. 0.1466
Find the standard-form equation for a hyperbola which satisfies the given conditions.A hyperbola centered at the origin having focus (0, - 2
) and corresponding directrix 
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.f(x) = x2 + 2x - 4
A. minimum; - 5 B. maximum; - 1 C. maximum; - 5 D. minimum; - 1