Answer:
= - 21
+ 6x² + 1
Step-by-step explanation:
Differentiate each term using the power rule
(a
) = na![x^{n-1}](https://tex.z-dn.net/?f=x%5E%7Bn-1%7D)
Given
y = - 3
+ 2x³ + x , then
= (7 × - 3 )
+ (3 × 2)x² + (1 × 1 )![x^{0}](https://tex.z-dn.net/?f=x%5E%7B0%7D)
= - 21
+ 6x² + 1
Answer:
133.96 meters squared
Step-by-step explanation:
To calculate the area of a circle, simply multiply the radius squared, by pi.
A = pi x r^2
A = pi x 6.53^2
A = pi x 42.6409
A = 133.9603382
The area of the circle is approximately 133.96 meters squared.
Hope this helps! :)
Answer:
The slope is 3.
Step-by-step explanation:
A direct variation function will always go through the origin point (0, 0).
Therefore, we have the two points (0, 0) and (-2, -6).
We can use the slope formula to find the slope:
![\displaystyle m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Substitute and evaluate:
![\displaystyle m=\frac{0-(-6)}{0-(-2)}=\frac{6}{2}=3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B0-%28-6%29%7D%7B0-%28-2%29%7D%3D%5Cfrac%7B6%7D%7B2%7D%3D3)
Therefore, the slope of the function is 3.
To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.
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