The slope of the function is given by its derivative. You want to find the values of x such that the derivative is between -1 and 1.
... f'(x) = 0.4x +5
... -1 < 0.4x +5 < 1 . . . . . your requirement for slope
... -6 < 0.4x < -4 . . . . . . subtract 5
... -15 < x < -10 . . . . . . . multiply by 2.5
Any value of x that is between -15 and -10 will be one where the tangent line has a slope between -1 and 1.
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The graph shows tangent lines with slopes of -1 and +1. You can see that the slope of the graph of f(x) is between those values when x is between the tangent points.
Answer:
(w² + 6)(w² - 6)
Step-by-step explanation:
difference of squares
w⁴ - 36 = (w² + 6)(w² - 6)
Answer:
-3/5 x -1.5 = 0.9 or 9/10
Best Answer: <span> w1•d1 = w2•d2
150•`15 = 300 d2
2250 = 300 d2
d2 = 2250 ÷ 300 = 7.5 ft </span>