Answer:
Dude i would need more context to do this
Step-by-step explanation:
we are given
A woman walks due east on the deck of a ship at 4 mi/h.
the ship is moving south at a speed of 24 mi/h
so, firstly, we will draw diagram
so, we have


now, we can use Pythagoras theorem

now, we can plug values
and we get


so,
the speed of the woman relative to the surface of the water is 24.33 mi/h .......Answer
Answer: OPTION D.
Step-by-step explanation:
The symbol of the inequality ">" means "greater than". Then, -5 is greater than -6.
If a negative number -a is greater than other negative number -b , then the distance between -a and zero is shorter than the distance between -b and zero.
You can see in the number line attached that -5 is closer to 0 than -6. Therefore, -5 is located to the right of -6.
Answer:
The proof is detailed below.
Step-by-step explanation:
We will first prove that if H(x) is a differentiable function in [a,b] such that H'(x)=0 for all x∈[a, b] then H is constant. For this, take, x,y∈[a, b] with x<y. By the Mean Value Theorem, there exists some c∈(x,y) such that H(y)-H(x)=H'(c)(x-y). But H'(c)=0, thus H(y)-H(x)=0, that is, H(x)=H(y). Then H is a constant function, as it takes the same value in any two different points x,y.
Now for this exercise, consider H(x)=F(x)-G(x). Using differentiation rules, we have that H'(x)=(F-G)(x)'=F'(x)-G'(x)=0. Applying the previous result, F-G is a constant function, that is, there exists some constant C such that (F-G)(x)=C.