Answer:
Angle BAC corresponds with side length BC
Side length AC will correspond with angle ABC
Step-by-step explanation:
In a triangle, the side length will correspond to the angle opposite it and vice versa.
That is, the side length opposite angle A corresponds to the side of Angle A
Hence, in the triangle given above ;
Angle BAC corresponds with side length BC, because BC is opposite BAC
Side length AC will correspond with angle ABC, because AC is directly opposite angle ABC.
The function increases in the interval (-∞, -3) and the function also increases in the interval (-1,∞) .
The given function is of the form
f(x) = x³ + 6x² + 8x
Now we take the first differentiation of the function
f'(x) = 2x² + 12x + 8
f'(x) = 2 (x² + 6x + 9) -10
f'(x) = 2(x+3)² - 10
Therefore at x = -3 , f'(x) = -10.
Hence the function is increasing in the interval of (-∞, -3)
Again f'(x) = 2x² + 12x + 8 , so after first differentiation we get :
That the function is also increasing in the interval (-1,∞)
Now for the interval (-4,-2), we can say that the graph of the function is positive as the y value increases and then decreases but all y values are positive as illustrated in the graph.
In the interval (0,∞) the function is strictly increasing and has positive values only.
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Let's say that you're in your room and you find that the current temperature of 72 degrees is too cold, so slowly you increase the temperature of the room by two degrees.
We know that the explicit formula is
a^n=a^1+ (n-1)d
and so by substituting the given information in
a^n= 72 + (n-1)2
a^1=Initial temp
d= rate of change
by substitution a value of n (the term we are looking for) into this equation, you can then calculate the temperature that you just set the room too.
The basic unit of length in the metric system is the meter. Grams are
used to measure weight and liter is used to measure liquid capacity
besides, it is used so that you can express very large and very small numbers in a short
unambiguous manner.
Example Instead of saying "three thousand
million" meters
They classify the decimal place of the basic unit. ie, the meter is
classified with milli (1/1000), centi(1/100), deci (1/10), Deca (10),
Hecto (100), Kilo (1000).
