Step-by-step explanation:
A left Riemann sum approximates a definite integral as:
Given ∫₂⁸ cos(x²) dx:
a = 2, b = 8, and f(x) = cos(x²)
Therefore, Δx = 6/n and x = 2 + (6/n) (k − 1).
Plugging into the sum:
∑₁ⁿ cos((2 + (6/n) (k − 1))²) (6/n)
Therefore, the answer is C. Notice that answer D would be a right Riemann sum rather than a left (uses k instead of k−1).
Answers:
1. A person with 1 exemption making between $580 and $600 would have $<u>21.97</u> withheld.
2. A person with 3 exemptions making between $340 and $360 would have $<u>4.51</u> withheld.
3. A person with 4 exemptions making $610 would have $<u>16.31</u> withheld.
4. A person with 2 exemptions making between $440 and $460 would have $<u>12.16</u> withheld.
5. Tim Worker had $7.84 withheld. What was his wage range? <u>$360-$380</u>
Please, see the attached files.
Thanks.
Hi there! :) :D
Step-by-step explanation:
<u><em>Undefined.</em></u>
<u><em>Therefore, the slope is -11/0</em></u>
<u><em>Final answer is -11/0</em></u>
Hope this helps!
Thanks!
Have a nice day! :)
:D
-Charlie
Step-by-step explanation:
q(a) = ½a + 38
The slope of q is ½. So the perpendicular slope is -1/½ = -2.
Write h(x) in point-slope form:
h − (-7) = -2 (x − 12)
h + 7 = -2 (x − 12)
Simplify to get slope-intercept form.
h + 7 = -2x + 24
h = -2x + 17