Example 1. Let us start with the functionf(x) = x2. We have

So

which means f '(a) = 2a.
What about the derivative of f(x) = xn. Similar calculations, using the binomial expansion for (x+y)n (Pascal's Triangle), yield

To help Carmen find the total after 3 years
We'll have to use the annual compound interest formula: A = P(1 + r)ⁿ
A = Final balance (?)
P = Principal balance (6000)
r = Rate (0.028)
n = years (3)
A = 6000(1 + 0.028)³
A = 6000(1.028)³
A = 6000(1.086373952)
A = 6518.243712
Round that to the nearest cent, and we get $<u>6,518.24 </u>as the answer.
This is the quadratic equation
x = -b +/- (sq root)(b^2 - 4(a)(c) all over 2a
If inside the square root the value is <0. You can't get an answer.
Now figure the rest out
Answer:
(2)^9•(3)^3•(7)^3•(17)^3
Step-by-step explanation:
(34•84)^3
=(34)^3•(84)^3
=(2•17)^3•(2•2•3•7)^3
=(2)^3•(17)^3•(2)^3•(2)^3•(3)^3•(7)^3
=(2)^(3+3+3)•(17)^3•(3)^3•(7)^3
=(2)^9•(3)^3•(7)^3•(17)^3
