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alexandr402 [8]

3 years ago

5

Someone Please Help !! Picture shown

1 answer:

malfutka [58]3 years ago

8 0

See attached for the synthetic division table

The numbers in the bottom row are 1, 9 and 0

The last number is the remainder. So the remainder is 0

The other values in the last row (1 and 9) form the quotient, so we have 1x+9 = x+9 as the final answer

Final Answer: C) x+9

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A. Area of a circle is given by

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$\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}$

Multipying and simplifying:

$\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$

The rate at which the area is increasing is given by expression $A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$ .

B. At t = 5, rate is:

$A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}$

$A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}$

$A'(5)=\frac{2408693760\pi}{4294967296}$

$A'(5)=1.76268$

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

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