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tamaranim1 [39]

3 years ago

11

taylor arrives atbthe fair with $80 after 5 hours taylor has $30 if time is the independent variable and amount of money the dep

endent variable find the rate of change of the amount of money that taylor has

1 answer:

ANEK [815]3 years ago

5 0

80-30 = 50

She spent $50

She was there for 5 hours

$50/5 = 10

The rate of change is $10 per hour.

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Both integrals are quite immediate: you only need to use the power rule

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$\displaystyle \int_0^11-3t^2\;dt = \left[t-t^3\right]_0^1,\quad \int_1^4 2t\; dt = \left[t^2\right]_1^4$

Now we only need to evaluate the antiderivatives:

$\left[t-t^3\right]_0^1 = 1-1^3=0,\quad \left[t^2\right]_1^4 = 4^2-1^2=15$

So, the final answer is 15.

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