Answer:
Step-by-step explanation:
Given differential equation, 
Characteristic equation is given by 
.
Differential equation have repeated roots and solution of differential equation is 
.............................(1)
Initial conditions are 
Plugging first condition in equation (1),
Equation (1) becomes
............................(2)
differentiate equation (2) with respect to 'x',
Plugging second condition,
Hence,
To answer this question let us first define what a rational and irrational number is. A rational number is basically a number whose decimals are terminating (ie have an end) or repeating (continuously repeats the same pattern.
An example of this from your question would be
5.3 - terminating rational number
5.333333333333..... - repeating rational number
Irrational numbers are basically numbers whose decimals are non terminating and non repeating.
An example would be the square root of 29. When plugged in a calculator this would result in <span>5.3851648071.....
</span>This number goes on and on with no set pattern.
Answer:
A = 1/4
B = 1
C = 4
Step-by-step explanation:
The function is g(x) = 4^((1/2)*x)
For A, the value is -2. Plug this into the equation.
g(-2) = 4^((1/2)*-2)
g(-2) = 4^(-1)
g(-2) = 1/4
For B, the value is 0. Plug it into the equaiton.
g(0) = 4^((1/2)*0)
g(0) = 4^(0)
g(0) = 1
For C, the value is 2. Plug it into the equation.
g(2) = 4^((1/2)*2)
g(2) = 4^1
g(2) = 4
I believe it is A because as you can see the lines are parallel to each other!
If you want to solve this problem on your own, you could just view my answers:
<span>a. 41 square root of 3
b. hypotenuse= 41x2= 82 ft.
c. sine: 41/82-.5
cos: 41sqr. rt. 3/82= .8660
tan: 41/ 41 square root 3= .5774
</span>
I hope my answers has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
