Provide an appropriate response.(a) Show that 
dx = 
e-4 < 0.0092 and hence that 
dx < 0.0092.(b) Explain why this means that 
dx can be replaced by 
dx without introducing an error of magnitude greater than 0.0092.
What will be an ideal response?
(a) 
dx = 
dx = 
- 
e-2b + 
e-4 = 
e-4 < 0.0092
(b) Since 0 < e-x2 ? e-2x for x ? 2, 
dx ? 
dx . So 
dx < 0.0092. Therefore, 
dx = 
dx + 
dx ? 
dx, with an error of magnitude no greater than 0.0092.
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Find the derivative.y = 10 - 5x2
A. 10 - 5x B. 10 - 10x C. -10x D. -10
Find the equation of the line that has the given properties. Write the equation in slope-intercept form, if possible. Contains (-3, -3); perpendicular to the line y = -3x - 1
A. y = - 
x - 2
B. y = 3x - 2
C. y = 
x - 2
D. y = -3x - 2
Complete the square for the binomial. Then factor the resulting perfect square trinomial.x2 + 
x
A. x2 + 
x + 
= 
2
B. x2 + 
x + 
= 
2
C. x2 + 
x + 
= 
2
D. x2 + 
x + 
= 
2
Provide an appropriate response.Rewrite the expression (5 - 7a) - 8b by applying the associative property. If the associative property does not apply, state this.
A. 8b - (5 - 7a) B. 5 - (7a - 8b) C. (7a - 5) - 8b D. Associative property does not apply