Answer:
The answer is cot(x)
Step-by-step explanation:
<h3>Greetings !</h3>

Rewrite using trig identity

use the Pythagorean idea


simplify

use basic trigonometric identity

simplify

gives you

Hope it helps!
Answer:
168.4953 (m/s)
Step-by-step explanation:
a(t)=x''(t)=(0.0951t⁴-0.101t³+0.837t²+3.87t-9.37)''= =4*3*0.951t²-3*2*0.101t+2*0.837 =11.412t²-0.606t+1.674.
a(3.85)=11.412*3.85²-0.606*3.85+1.674=168.4953
Answer:
Twelve and one fourth feet
Step-by-step explanation:
9 and 3/4 feet =9.75
2 and 2/4 feet =2.50
9.75 + 2.50
= 12.25/12 and 1/4 feet
Answer:
x=-2 x=2 x = 1/2 x=3
Step-by-step explanation:
f(x) = 2x^4 − 5x^3 − 5x^2 + 20x − 12
Graph
We see that there is a zero at -2
Using synthetic division
-2 2 -5 -5 20 -12
-4 18 -26 12
------------------------------
2 -9 13 -6 0
This gives us ( x+2) ( 2x^3 -9x^2 +13x -6)
We see that there is a zero at 2
Using synthetic division ( 2x^3 -9x^2 +13x -6)
2 2 -9 13 -6
4 -10 6
------------------------------
2 -5 3 0
This gives us ( x+2) ( x-2) ( 2x^2 -5x+3)
We can factor ( 2x^2 -5x+3)
( x+2) ( x-2) ( 2x -1) ( x-3)
Using the zero product property
( x+2)=0 ( x-2)=0 ( 2x -1)=0 ( x-3)=0
x=-2 x=2 x = 1/2 x=3