Calculate the derivative of the function. Then find the value of the derivative as specified.g(x) = x3 + 5x; g '(1)
A. g '(x) = 3x2 + 5x; g '(1) = 8
B. g '(x) = x2 + 5; g '(1) = 6
C. g '(x) = 3x2 + 5; g '(1) = 8
D. g '(x) = 3x2; g '(1) = 3
Answer: C
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Simplify the expression by combining like terms if possible.-b2 + ab2
A. -b2 + ab2 B. ab C. a D. a + 2b2
Suppose a planet is discovered that revolves around its sun in an elliptical orbit with the sun at one focus. Its perihelion distance (minimum distance from the planet to the sun) is approximately  FIGURE 1.png)
km, and its aphelion distance (maximum distance from the planet to the sun) is approximately  Figure 2.png)
km. Approximate the eccentricity of the planet’s orbit. Round to three decimal places.
What will be an ideal response?
Solve for the indicated variable.-15 = -5p + 8q for p
A. p = -15 - 8q
B. p = 
C. p = 
D. p = 
Write the compound inequality as an absolute value inequality. Do not simplify.y ? -3 < or y ? 3
A. 
? 3
B. 
? -3 < or 
? 3
C. 
? 3
D. 
> 3