Hi there!
Use the chain rule:
f(g(x)) = f'(g(x)) · g'(x)
Thus:
dy/dx sin(x) = cos(x)
dy/dx cos(x) = -sin(x)
Use the chain rule format:
f(x) = sin(x)
g(x) = cos(x)
cos(cos(x)) · (-sin(x))
-sin(x)cos(cos(x))
Answer:
maximum volume of box is 588 cubic inches
Step-by-step explanation:
given data
dimensions box = 14 inches × 12 inches × 3.5 inches
to find out
volume of box
solution
we consider here box dimensions are
length l = 14 inches
width w = 12 inches
and height h = 3.5 inches
so
apply volume formula that is = l × w × h .....................1
put here value we get
volume = l × w × h
volume = 14 × 12 × 3.5
volume = 588 in³
so maximum volume of box is 588 cubic inches
Here u gooo hope this helps
IF 12 copies cost $0.66 you have to divide 0.66/12 and you will get the cost for 1 copy: 0.66/12= $0.055 per each copy.
If Melyssa needs 56 copies, you have to multiply 0.055*56= $3.08
Answer:
x = 44/19, y = 33/20
Step-by-step explanation:
Multiply the first eq by 18, to get:
90/y - 36/x = 39
so 36/x = 90/y - 39
in this form we can plug it into the second eq:
90/y - 39 - 24/y = 1 =>
66/y = 40 =>
y = 66/40 = 33/20
Fill that in the first:
100/33 - 2/x = 13/6 =>
200/66 - 143/66 = 2/x =>
57/66 = 2/x =>
57x = 2*66
x = 132/57 = 44/19
