14. A
C=10+12h
I think one time fee is 10, the recurring fee is 12
15.B
c=2*12h=24h
initial value is going to be 0 because no one time fee, rate of change is 24
C=a*h+b(a is rate of change, and b is initial value)
you have to convert meters to centi-meters first;
800m = 80000 cm & 154m = 15400 cm
Now, Substitute that in your original equation;
80035 cm - 15449
64586 cm
Answer:
Vertical line will be x=0, and horizontal line will be y=-3
Step-by-step explanation:
Draw a vertical line through point (0,-3). You will see it's on the y-axis. The equation of the line on y-axis is always x=0, because no matter what point you choose on the line, the x coordinate will be 0. (0,-3), (0, -2), etc.
Next draw a horizontal line through (0,-3). It's parallel to the x axis, and no matter what point on the line you choose, the y coordinate will be -3. (0,-3), (1, -3), etc
Given :
A function , x = 2cos t -3sin t .....equation 1.
A differential equation , x'' + x = 0 .....equation 2.
To Find :
Whether the given function is a solution to the given differential equation.
Solution :
First derivative of x :

Now , second derivative :

( Note : derivative of sin t is cos t and cos t is -sin t )
Putting value of x'' and x in equation 2 , we get :
=(-2cos t + 3sin t ) + ( 2cos t -3sin t )
= 0
So , x'' and x satisfy equation 2.
Therefore , x function is a solution of given differential equation .
Hence , this is the required solution .
6 Feet.
Divide the width of the window in the blueprint by the set scale, 1/8.