Is there an imagine you forgot to attach to the question? would love to help but i don’t see any options :(
Answer:
yes
Step-by-step explanation:
the FIRST derivative of a function tells us the slope of a tangent line to the curve at any point. if is positive, then the curve must be increasing. If is negative, then the curve must be decreasing.
the SECOND derivative gives us the slope of the slope function (in other words how fast the slope of the original function changes, and if it is accelerating up - positive - or if it is avengers down - negative).
so, the first derivative would be fully sufficient to get the answer of if the slope of the function at that point is positive or negative.
but because it is only a "if" condition and not a "if and only if" condition, the statement is still true.
there are enough cases, where the slope is positive, but the second derivative is not > 0 (usually = 0).
but if even the second derivative is positive, then, yes, the slope of the original function must be positive too.
Answer:
The domain is the possible values of x that can be plugged into the function safely.
Step-by-step
Let D = domain of f
D = ALL REAL NUMBERS
Answer:
about 21.3
Step-by-step explanation:
I found the hypotenuse value by doing the Pythagorean theorem.
a^2+b^2=c^2.
"a" and "b" are the values of the legs, and "c" is the value of the hypotenuse. So, "a" is 14 and "b" is 16.
14^2+16^2=c^2
196+256=452.
Now, I found the square root of 452. The square root of 452 is 21.26029163. This value rounded to the nearest tenth is 21.3.
In conclusion, the length of the hypotenuse rounded to the nearest tenth is 21.3 inches.
