Answer:
simplifying
Step-by-step explanation:
Answer:
the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.
Step-by-step explanation:
if there is no mistake in the problem description, I read the following function :
C(x) = y = 0.3x² - 1.2x + 2
I don't know if you learned this already, but to find the extreme values of a function you need to build the first derivative of the function y' and find its solutions for y'=0.
the first derivative of C(x) is
0.6x - 1.2 = y'
0.6x - 1.2 = 0
0.6x = 1.2
x = 2
C(2) = 0.3×2² - 1.2×2 + 2 = 0.3×4 - 2.4 + 2 = 1.2-2.4+2 = 0.8
so, the minimum production level is costing $800 (0.8×$1000) per hour for 2000 (2×1000) items produced per hour.
Chain rule:
if
y=y(u) and u=u(x)
The dy/dx=(dv/du)(du/dx)
In our case
y=arcsin(u)
u=sin(x)
dy/du=1/√(1-u²) = 1/√(1-sin²x)
du/dx=cos x
dy/dx=cos x /√(1-sin²x)
Answer: dy/dx=cos x /√(1-sin²x)
63 squared is 3969
16 squared is 256
3969 plus 256 is 4225
the answer is 65
mark me brainliest if the answer is correct, thank you in advance :)
