What's the range of this function graph?
1 answer:
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Answer:
Final answer is $4440.
Step-by-step explanation:
Let amount of money invested in 8% stock = x
Let amount of money invested in 6% stock = y
then total money invested $325.6 gives equation
8% of x + 6% of y = 325.6
0.08x + 0.06y = 325.6
8x + 6y = 32560...(i)
other equation will be x=2y...(ii)
plug (ii) into (i)
8x + 6y = 32560
8(2y) + 6y = 32560
16y+ 6y = 32560
22y = 32560
y=1480
plug y=1480 into (ii)
x=2y=2(1480)=2960
Then total money invested in stocks = x+y= 1480+2960=4440
Hence final answer is $4440.
Answer:
sin(mod(π/2 -x, π) -π/2) . . . . except undefined at odd multiples of π/2
Step-by-step explanation:
The derivative of the modulus of the cosine function is the same as the derivative of the cosine function between cusps: -sin(x), for -π/2 < x < π/2.
There are many ways to make that pattern repeat with period π. one of them is this:
(d/dx)|cos(x)| = sin(mod(π/2 -x, π) -π/2) . . . . . except undefined at x=π/2+kπ, k any integer
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The graph shows the modulus of the cosine function along with its derivative as computed by the graphing calculator and its derivative as defined above.
