We have to calculate the maximum and minimum of these functions.
f(x)=3 cos (2x)+4
1) we find the first derivative
f´(x)=-6 sin(2x)
2) We find those values that makes the first derivative equal to zero.
-6 sin(2x)=0
sin (2x)=0/(-6)
sin (2x)=0
2x=sin⁻¹ 0
2x=kπ
x=kπ/2 K=(...,-2,-1,0,1,2,...)
2) we find the second derivative and check if it has a maximum or minimum at x=kπ/2
f´´(x)=-12 cos (2x)
for example if k=0;
f´´(0)=-12 cos(2*0)=-12<0 ; because -12 is less than "0" ,it has a maximum at x=kπ/2.
3) we find the maximum y-value:
if K=0; ⇒x=0
f(x)=3 cos (2x)+4
f(0)=3 cos (2*0)+4=3+4=7
The maximum y-value of f(x)=3 cos (2x)+4 is y=7.
g(x)
We can look at the graph of this function :
the maximum y-value is y=3.
h(x)
We can look at the table of this function;
the maximum y-value of this function is y=-2
Therefore the greatest maximum y-value will be y=7
Answer:
Which function has the greatest maximum y-value?
f(x)
First of all, the angle bisector, angle ray and angle line are all lines. Please refer to the picture attached. All of these lines are joined at one point called vertex which is at point O. The angle bisector is the line that divides the total angle into half. In this case, that would be line OB. The angle ray and line are the two legs of the angle, which are line OA and line OC, respectively.
The answer is A) commutative property of addition
<span><u>Answer
</u>
18 feet and 4.5 inches
<u>Explanation
</u>
You are going to use the concept of similar triangle.
∆CED≡∆CBA
This is because they share the angle at C and also they both have an angle of 90o.
Let EC = X, then BE = 2.5X. So, BE = (X + 2.5X) = 3.5X
The scale factor EC/BC=x/3.5x=2/7
EC/BC=ED/BA=2/7
BA=7/2×63 in
The height of the tree = 220.5 inches. This is equal 18 feet and 4.5 inches.
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