1/2bh for b=8 and h=11
1 answer:
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Carry out the binomial expansion in the numerator:
Then the 9⁴ terms cancel each other, so in the limit we have
Since <em>h</em> is approaching 0, that means <em>h</em> ≠ 0, so we can cancel the common factor of <em>h</em> in both numerator and denominator:
Then when <em>h</em> converges to 0, each remaining term containing <em>h</em> goes to 0, leaving you with
or choice C.
Alternatively, you can recognize the given limit as the derivative of <em>f(x)</em> at <em>x</em> = 9:
We have <em>f(x)</em> = <em>x</em> ⁴, so <em>f '(x)</em> = 4<em>x</em> ³, and evaluating this at <em>x</em> = 9 gives the same result, 2916.
Answer:
4x +3y = 10
Step-by-step explanation:
The radius CD has slope Δy/Δx = (1-(-2))/(8-4) = 3/4.
The equation for the perpendicular line through point C(4, -2) can be written as ...
Δx(x -4) +Δy(y -(-2)) = 0
4(x -4) +3(y +2) = 0
4x +3y -10 = 0 . . . . . . general form equation for the line
4x +3y = 10 . . . . . . . . .standard form equation for the line
Answer and Step-by-step explanation:
The answer is H.
When 4 is brought to the power of a number it gets multiplied to the numerator of 1/3. When inputting those numbers for x in this function, the result is what is shown on the table, meaning the function is correct.
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