Answer:
Dy/Dx=1/√ (2x+3)
Yeah it's correct
Step-by-step explanation:
Applying differential by chain differentiation method.
The differential of y = √(2x+3) with respect to x
y = √(2x+3)
Let y = √u
Y = u^½
U = 2x +3
The formula for chain differentiation is
Dy/Dx = Dy/Du *Du/Dx
So
Dy/Dx = Dy/Du *Du/Dx
Dy/Du= 1/2u^-½
Du/Dx = 2
Dy/Dx =( 1/2u^-½)2
Dy/Dx= u^-½
Dy/Dx=1/√ u
But u = 2x+3
Dy/Dx=1/√ (2x+3)
I’m pretty sure d, but not sure sorry
Answer: the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.
The answer is c because of the graph going up
F) Tyler’s gray paint is a darker shade of gray than Hillary’s gray paint
When we take Tyler’s amount, we should do 8/30, which equals approximately .27. When we do the same thing with Hillary’s amount (10/40), we get .25. .27>.25, meaning that for the amount of white paint there is, more black paint is going into Tyler’s. As we know, black makes paint dark, so Tyler’s would be darker.