Answer:
f(x) = x^4/12 + 8x + 4
Step-by-step explanation:
f"(x) = x^2
Integrate both sides with respect to x
f'(x) = ∫ x^2 dx
= (x^2+1)/2+1
= (x^3)/3 + C
f(0) = 8
Put X = 0
f'(0) = 0+ C
8 = 0 + C
C= 8
f'(x) = x^3/3 + 8
Integrate f(x) again with respect to x
f(x) = ∫ (x^3 / 3 ) +8 dx
= ∫ x^3 / 3 dx + ∫8dx
= x^(3+1) / 3(3+1) + 8x + D
= x^4/12 + 8x + D
f(0) = 4
Put X = 0
f(0) = 0 + 0 + D
4 = D
Therefore
f(x) = x^4 /12 + 8x + 4
Answer:
Regular Deal
Step-by-step explanation:
<em>Pay as you go</em>
Pay only $6 each time you work out
<em>Regular Deal</em>
Pay $50 a month and $2 each time you work out
<em>All-in-one price! </em>
Pay just $100 per month for unlimited use of our great facilities
1. Carlo thinks he will go to the gym about 20 times a month. Which of these options is the least expensive for Carlo? Show how you determined your answer.
For 20 visits to the gym:
<em></em>
<em>Pay as you go:</em>
20 × $6 = $120
<em>Regular Deal</em>
$50 + 20 × $2 = $50 + $40 = $90
<em>All-in-one price! </em>
$100
<u><em>Answer:</em></u>
The best deal is for 20 visits per month is: <em>Regular Deal</em>
Answer:
Hyperbola
Step-by-step explanation:
The polar equation of a conic section with directrix ± d has the standard form:
r=ed/(1 ± ecosθ)
where e = the eccentricity.
The eccentricity determines the type of conic section:
e = 0 ⇒ circle
0 < e < 1 ⇒ ellipse
e = 1 ⇒ parabola
e > 1 ⇒ hyperbola
Step 1. <em>Convert the equation to standard form
</em>
r = 4/(2 – 4 cosθ)
Divide numerator and denominator by 2
r = 2/(1 - 2cosθ)
Step 2. <em>Identify the conic
</em>
e = 2, so the conic is a hyperbola.
The polar plot of the function (below) confirms that the conic is a hyperbola.
6x3= 18 + g =18g (Hope this helped!)
Answer
Secured
Step-by-step explanation:
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