Answer:
-4/5
Step-by-step explanation:
To find the slope of the tangent to the equation at any point we must differentiate the equation.
x^3y+y^2-x^2=5
3x^2y+x^3y'+2yy'-2x=0
Gather terms with y' on one side and terms without on opposing side.
x^3y'+2yy'=2x-3x^2y
Factor left side
y'(x^3+2y)=2x-3x^2y
Divide both sides by (x^3+2y)
y'=(2x-3x^2y)/(x^3+2y)
y' is the slope any tangent to the given equation at point (x,y).
Plug in (2,1):
y'=(2(2)-3(2)^2(1))/((2)^3+2(1))
Simplify:
y'=(4-12)/(8+2)
y'=-8/10
y'=-4/5
I believe it is 20 since I did 4+4+4+4+4 =20 since each shirt has 4 mixes it could have with the pants. Hope I helped
Answer:
The surface are of a box = 1186.92 mm²
Step-by-step explanation:
Given in question as :
Diameter of cylinder = 18 mm
The height of cylinder = 12 mm
The surface area of cylinder = ( 2×
×r×h) + (2×
×r²)
where R is the radius , R =
= 
Or Radius r = 9 mm
Or, The surface area of cylinder= ( 2×
×9×12) + 2×
×(9)²)
Or , The surface area of cylinder=(678.24) + (508.68)
Or ,The surface area of cylinder= 1186.92 mm²
Hence the surface are of a box = 1186.92 mm² Answer