Answer:
of course its true
Step-by-step explanation:
9514 1404 393
Answer:
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Step-by-step explanation:
The applicable derivative formula is ...
d(u/v) = (v·du -u·dv)/v²
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f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²
f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
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Similarly, the second derivative is the derivative of f'(x).
f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴
f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
∵ ΔSRQ is a right triangle
and RT⊥SQ
∴ x² = ST * TQ
∴ x² = 9 *16 = 144
∴ x = √144 = 12
Answer:
To find volume of a tent this would be your formula:
start by taking the base of the triangle on your tent typically located in the front
1/2 (height) (width) to get your area (DONT SKIP THIS STEP)
Then take your area you just calculated and do
(area) (length)
Let me give you an example:
in the picture below
height: 3 cm
length: 8 cm
Width: 12 cm
Next do your first formula:
1/2 (3)(12)= 18 cm
(Calculation of one face)
then your second:
(18)(8)= 144 
Hopefully this guide helped you sorry i couldn't answer your question without a picture!