Answer:
x³ sin(x)
Step-by-step explanation:
Tabular method is a special form of integration by parts. It works by taking derivatives of u and integrals of dv. You multiply diagonally, then sum the results, alternating the signs.
The important thing to note is that this will produce an antiderivative only if the derivatives of u eventually become 0. So the correct choice is x³ sin(x), because the derivatives of x³ eventually becomes 0:
d/dx (x³) = 3x²
d/dx (3x²) = 6x
d/dx (6x) = 6
d/dx (6) = 0
Like 4:6 is a ratio or like 7:8 apples
90 1 m/s2 189087536
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Answer:
x (total number of hours) = 15
Step-by-step explanation:
Total number of hours = 15
Let the hours spent tutoring french be x.
Therefore hours spent on scooping ice cream = (15 - x)
Amount: Tutoring french is $15 an hour, total for x hours = 15x
For scooping ice cream it is $10 an hour 10*(15 - x) = 150 - 10x
To make more than $180
15x + (150 - 10x) > 180
15x + 150 - 10x > 180
15x - 10x > 180 - 150
5x > 30
x > 30/5
x > 6
So he needs to tutor more than 6 hours in order to make more than $180
Answer:
y-intercept = 1
slope = 4
Step-by-step explanation:
The y-intercept is where the line intersects with the y.
And the slope is rise over run, so it rises 4 and walks over 1, therefore the slope is
which simplifies to 4.
Hope this helped! :)