<span>f(x) = 3x + 3; f(33)
f(33) = 3(33) + 3
f(33) = 99 + 3
f(33) = 102</span>
Answer:
9.275 inches or 9 11/40
Step-by-step explanation:
current depth = beginning depth - inches swam up + inches swam down
8 3/4 - 2 3/5 + 3 1/8
= 9 11/40
Bottom answer is correct: d {0, 1, 2, 3}, r {-5, -2, 3, 4}, relation is a function
Answer:
9
Step-by-step explanation:
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
