Answer:
<em>-1</em>
Step-by-step explanation:
1. A water wheel rung’s height as a function of time can be modeled by the equation:
h - 8 = -9 sin6t
(b) Determine the maximum height above the water for a rung.
Given the rung's height modeled by the equation;
h - 8 = -9 sin6t
h(t) = -9sin6t + 8
At maximum height, the velocity of the rung is zero;
dh/dt = 0
dh/dt = -54cos6t
-54cos6t = 0
cos6t = 0/-54
cos6t = 0
6t = cos^-1(0)
6t = 90
t = 90/6
t= 15
Substitute t = 15 into the expression to get the maximum height;
Recall:
h(t) = -9sin6t + 8
h(15) = -9sin6(15) + 8
h(15) = -9sin90 + 8
h(15) = -9(1)+8
h(15) = -9+8
<em>h(15) = -1</em>
<em>hence the maximum height above the water is -1</em>
Answer:
A. { }
Step-by-step explanation:
Absolute value cannot be less than zero.
-4 < 0
There is no solution for x, ∈, R.
Hope this helps.
Answer:
Me too not trying to get the points but how are u suppose to solve this anyway
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
6^x = 1296
Take the log base 6 on each side
log6(6^x) = log6(1296)
Rewrite 1296 as 6^4
x = log 6(6^4)
We know that log( a^b) = b log (a)
x = 4 log6(6)
We know that loga(a) =1
x = 4 *a
x =4
C. 2/9 is the answer too the question
