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motikmotik
3 years ago
7

Question 7 7. Which equation is true? A 831 102 = 8.310 B. 405. 103= 406,000 C. 915. 10+ = 915.000 D. 257 102 = 257.000 СА​

Mathematics
1 answer:
OLEGan [10]3 years ago
6 0

Answer:C.

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Evaluate using <br> Definite integrals
swat32

Since [0,4]=[0,1]\cup(1,4], we can rewrite the integral as

\displaystyle \int_0^1f(t)\;dt + \int_1^4 f(t)\; dt

Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:

\displaystyle \int_0^1f(t)\;dt = \int_0^11-3t^2\;dt,\quad \int_1^4 f(t)\; dt = \int_1^4 2t\; dt

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

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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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Step-by-step explanation:

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