Solve the problem.The graph shows the amount of potential energy V(x) (in arbitrary energy units) stored in a large rubber band that is stretched a distance of x inches beyond its relaxed length.
The magnitude of the force required to hold the rubber band at the position 
is the derivative of the potential energy with respect to x, evaluated at the point 
Estimate the force required to hold the band at a stretched
position 
(Hint: the force in this problem has units of "energy units per inch".)
A. 1.1 energy units per inch
B. 2.2 energy units per inch
C. -1.1 energy units per inch
D. 2.9 energy units per inch
Answer: A
Mathematics
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Use the improved Euler's method to calculate the first three approximations to the given initial value problem. Compare the approximations with the values of the exact solution.y' = 2xy, y(1) = 1, h = 0.1 and h = 0.05
A. 
B. 
C. 
D. 
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Determine from the graph whether the function has any absolute extreme values on the interval [a, b].
A.
| Absolute minimum only. |
B. Absolute minimum and absolute maximum.
C. No absolute extrema.
D. Absolute maximum only.
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Collect like terms.
x + 
y + 
x + 
y
A. 
x + 
y
B. - 
x + 
y
C. 
x + 
y
D. 
x + 
y
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Evaluate the polynomial or polynomial function for the given value of the variable.f(x) = 3x3 - 9x2 - 2x + 1, f(-1)
A. -9 B. 7 C. -13 D. -7
Mathematics