Given that height, h(t) of a tennis ball is modeled by the equation h(t)=<span>-16t^2 + 45t + 7, the time taken for the ball to reach maximum height will found as follows:
at maximum height:
h'(t)=0
but from the equation:
h'(t)=-32t+45=0
solving for t we get
t=45/32
t=1.40625~1.4 seconds
Thus the time taken to reach maximum height is 1.4 seconds
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Step-by-step explanation:
step 1. pythagorean theorem is a^2 + b^2 = c^2 where a, b are the legs and c is the hypotenuse
step 2. 4^2 + 5^2 = c^2
You can arrange them 16 times
1) aabb
2) aabb
3) bbaa
4) bbaa
5) abab
6) abab
7) abab
8) baba
9) baba
10) abba
11) baba
12) baab
13) baab
14) baab
15) baab
16) abba
Sin²t +cos²t =1
<span> x=2+3 sin t
sin t=(x-2)/3
</span><span>y=1-1/2cos t
y-1= - (cos t)/2
cos t =-(y-1)/(1/2)
</span>(x-2)²/3² + (y-1)²/(1/2)² = 1
Ellipse