Answer:
i)
ii) n = 33
Step-by-step explanation:
For this question you can actually focus on the sine, and forget about the e power. The x-coordinates of the extremes of the curve will be the same as for y=sin(4x)
i) equivalent to solving sin(4x) = -1, so 4x = 3/2 pi, x=3/8 pi
ii) The Tn values are at x = (n·π - π/2)/4
solving (n·π - π/2)/4 > 25 gives:
n > 1/2 + 100/π, so n > 32.331, but n must be integer, so we get n=33
Answer:
y = 26.3x² - 116.9x + 109.6
Step-by-step explanation:
Given the data ;
Year Period Users (Millions)
2004 1 1
2005 2 5
2006 3 11
2007 4 58
2008 5 145
2009 6 359
2010 7 607
2011 8 846
A quadratic regression model can be obtained using a quadratic regression calculator ; The quadratic regression modeled obtained is in the form :
y = Ax² + Bx + C
y = 26.3x² - 116.9x + 109.6
Answer:
h=14.9966
Step-by-step explanation:
1. The formula of the volume is:
V=
2. So you have to substitute the the data that you have:
3533.5=
3. To have the area of the base (ab) you have to get the formula of the circle's area and solve:
A=(
)
A=(
)
A=3.1416(225)
A=706.86in
4. Now you have the area of the base:
3533.5=
5. In this step you are going to clear the variable which is the heigh (h) and solve as an equation:
3533.5=
3533.5(3)=706.86(h)
=h
h=14.9966
The result may vary depending on the value of that you use,
Answer:
Step-by-step explanation:
(x-5)(x+6) / (x-3) less than or equal to 0
multiply both sides by x-3
(x-5)(x+6) less than or equal to (x-3)
Foil
x^2 + 6x -5x -30 less than or equal to x-3
simplify
x^2 + x -30 less than or equal to x-3
Add 30 to both sides and subtract x from oth sides
x^2 less than or equal 27
take a square root of both sides
x less than or equal to