1. Variables and constants
2. -2y + -4
3. y
Hope this helped
45.3297 rounded to the nearest tenth is 45.3
3 is in the tenths place, so you look at the number to the right of it. If that number is 5 or more, you round up. If the number is 4 or less, you round down. So you round 45.3297 down to 45.3
f'(x) = (4 arctan(7x))'
f'(x) = 4 (arctan(7x))'
By the chain rule,
f'(x) = 4/(1 + (7x)^2) * (7x)'
f'(x) = 28/(1 + 49x^2)
and hence
f'(4) = 28/(1 + 49*16) = 28/785
In case you're not sure about the derivative of arctan: If y = arctan(x), then x = tan(y). Differentiating both sides with respect to x gives
1 = sec^2y y' = (1 + tan^2y) y' = (1 + x^2) y'
==> y' = 1/(1 + x^2)
Answer:
Option (1)
Step-by-step explanation:
Parent function for both parabolas graphed is, y = x²
For the large parabola,
This parabola is formed by translating the parent function 4 units downwards.
So the equation will be, y = x² - 4
Now graph of the inequality shows the dotted line with shaded area inside the parabola,
Equation of the parabola will be,
y > x² - 4
Similarly, equation of the other parabola will be,
y < x² + 6 [Since shaded region is the region outside the dotted lines of the parabola]
So the system of inequalities will be,
y > x² - 4
y < x² + 6
Therefore, Option (1) will be the answer.
Answer:
6.2832
Step-by-step explanation:
The formula for area of a semicircle is:
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Have a good day :)