Answer:
it could either be n15
15n
because a number multiplied by 5 is
n15
but in mathematics a number comes before a letter when writing a mathematical expression
It’s 0.09 or .09. Hope this helps:)
Answer:
Exponential function: a*b^x
if B is less than 1, it is a decay function
if B is more than 1, then it is a growth function
if B is 0, then the function neither decreases nor increases
Example 1: 100*0.14^x
The y-intercept is decreasing by 86%
Example 2: 3000*1.14^x
The y-intercept is increasing by 14%
Example 3: 400*0
The y-intercept is neither decreasing nor increasing
Going back to the function, <u>a</u> is the y-intercept, and <u>b</u> is the rate
<u>I hope this will help you, I just started to learn about exponential functions..</u>
You do the implcit differentation, then solve for y' and check where this is defined.
In your case: Differentiate implicitly: 2xy + x²y' - y² - x*2yy' = 0
Solve for y': y'(x²-2xy) +2xy - y² = 0
y' = (2xy-y²) / (x²-2xy)
Check where defined: y' is not defined if the denominator becomes zero, i.e.
x² - 2xy = 0 x(x - 2y) = 0
This has formal solutions x=0 and y=x/2. Now we check whether these values are possible for the initially given definition of y:
0^2*y - 0*y^2 =? 4 0 =? 4
This is impossible, hence the function is not defined for 0, and we can disregard this.
x^2*(x/2) - x(x/2)^2 =? 4 x^3/2 - x^3/4 = 4 x^3/4 = 4 x^3=16 x^3 = 16 x = cubicroot(16)
This is a possible value for y, so we have a point where y is defined, but not y'.
The solution to all of it is hence D - { cubicroot(16) }, where D is the domain of y (which nobody has asked for in this example :-).
(Actually, the check whether 0 is in D is superfluous: If you write as solution D - { 0, cubicroot(16) }, this is also correct - only it so happens that 0 is not in D, so the set difference cannot take it out of there ...).
If someone asks for that D, you have to solve the definition for y and find that domain - I don't know of any [general] way to find the domain without solving for the explicit function).
Step-by-step explanation:
The amount of times you roll the dice x 10 = answer