Answer:
A function of f is continuous on its domain if it is Dirichlet function
Answer:
Step-by-step explanation:
Use the half angle identity for cosine:
cos(x/2)=+ or - sqrt(1+cos(x))/sqrt(2)
I'm going to figure out the sign part first for cos(x/2)...
so x is in third quadrant which puts x between 180 and 270
if we half x, x/2 this puts us between 90 and 135 (that's the second quadrant)
cosine is negative in the second quadrant
so we know that
cos(x/2)=-sqrt(1+cos(x))/sqrt(2)
Now we need cos(x)... since we are in the third quadrant cos(x) is negative...
If you draw a reference triangle sin(x)=3/5 you should see that cos(x)=4/5 ... but again cos(x)=-4/5 since we are in the third quadrant.
So let's plug it in:
cos(x/2)=-sqrt(1+4/5)/sqrt(2)
No one likes compound fractions (mini-fractions inside bigger fractions)
Multiply top and bottom inside the square roots by 5.
cos(x/2)=-sqrt(5+4)/sqrt(10)
cos(x/2)=-sqrt(9)/sqrt(10)
cos(x/2)=-3/sqrt(10)
Rationalize the denominator
cos(x/2)=-3sqrt(10)/10
Answer:
Surface area= 7.5
Step-by-step explanation:
The area of a triangle is b*h/2. so if you fill in the numbers your equation would be 5*3/2. 5*3=15 and 15/2=7.5
hope this helps!!
Answer:
a k=1
Step-by-step explanation:
Answer:
A, B and D are true.
Step-by-step explanation:
g (x) = x² - 4x + 3
f (x) = x² - 4x
What this means is that;
g (x) = f (x) + 3
What this implies is that the graph of g (x) is equivalent to when we shift that of f function graph up by 3 units.
Since g (x) is essentially shifting of f (x) upwards by 3 units, it means the graphs will never intersect.
It also implies that the vertex of g (x) will be above that of f (x)
Also since it only moves up and not in any other direction, both functions will still have the same line of symmetry.
Thus, options A, B and D are correct
