Answer: Each person pays $10.20
Step-by-step explanation:
(w-2)^2 = 63
FOIL left hand side:
(w-2)^2 = w^2 - 4w + 4
So,
w^2 - 4w + 4 = 63
w^2 - 4w - 59 = 0
Then use quadratic equation to get values of w = 2 + 3*root(7) and w = 2 - 3*root(7).
±
3
√
7
We are integrating f(x) = 9cos(9x) + 3x²: 
a) Apply the sum rule

b) Calculate each antiderivative
<u>First integral</u>

1. Take out the constant

2. Apply u-substitution, where u is 9x

3. Take out the constant (again)

4. Take the common integral of cos, which is sin

5. Substitute the original function back in for u and simplify
6. Always remember to add an arbitrary constant, C, at the end

<u>Second integral</u>

1. Take out the constant

2. Apply the power rule,
, where <em>a</em> is your exponent
⇒ 
3. Add the arbitrary constant

c) Add the integrals
sin(9x) + C + x³ + C = sin(9x) + x³ + C
Notice the two arbitrary constants. Since we do not know what either constant is, we can combine them into one arbitrary constant.
<h3>
Answer:</h3>
F(x) = sin(9x) + x³ + C
Step-by-step explanation:
<u>Given</u><u>:</u>
Central Enlargement.
AC=4
AB=5
BC=3
Opp=3
Hyp=5
<u>Required</u><u>:</u>
Sin<A
<u>Formula</u><u>:</u>
Sin<A=Opp/hyp
<u>Solution</u><u>:</u>
Sin<A=Opp/Hyp
Sin<A=3/5 or 0.6
Answer:
the axis of symmetry is X = 1
Step-by-step explanation:
make sure to ask if you need any further guidance.