Answer:
5.9 hours
Step-by-step explanation:
1/13+1/11=1/x
looking for x
x= 5.9
are you clear?
By the fundamental theorem of calculus,
<em>f(x)</em> = <em>f</em> (0) + ∫₀ˣ <em>f '(t)</em> d<em>t</em>
We're given that the plot of <em>f(x)</em> passes through the point (0, -7), so <em>f</em> (0) = -7, and
<em>f(x)</em> = -7 + ∫₀ˣ (9<em>t</em> ² + 4<em>t</em> - 4) d<em>t</em>
<em>f(x)</em> = -7 + (3<em>t</em> ³ + 2<em>t</em> ² - 4<em>t</em> )|₀ˣ
<em>f(x)</em> = -7 + (3<em>x</em> ³ + 2<em>x</em> ² - 4<em>x</em>)
<em>f(x)</em> = 3<em>x</em> ³ + 2<em>x</em> ² - 4<em>x</em> - 7
Answer:
843
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 24 and d = - 7 - (- 24) = - 7 + 24 = 17, thus
= - 24 + (51 × 17) = - 24 + 867 = 843
Answer: 103/15
Step-by-step explanation:
We can simplify the right-hand side to be .
This means we need to solve: