Answer:
x=0
Step-by-step explanation:
The line x=4 is a vertical line through the x-axis at 4. A line parallel to it will also be a line through the x-axis. It has the form x=a where a is the x-coordinates of any points on the line. Since the line crosses through (0,1), the equation is x=0.
Answer:
Step-by-step explanation:
<h3>Given </h3>
<u>Function f, with </u>
<h3>To find</h3>
<h3>Solution</h3>
<u>Slope-intercept formula</u>
- f(x) = mx + b
- f(0) = -9 means y-intercept b = -9, and the slope is m = - 8
<u>So the function is</u>
First you do -13+9. That equals -4.
Then bring down -c=-4 because there is a 1 in front of the c so -1c.
Next divide both sides by -1. The -c side cancels out so then your left with -4/-1.
That equals positive 4.
C=4
That’s ur answer.
Exponential equation is
y=a(b)ˣ
when b>1, it is growth
when 0>b>1, it is decay
so
we want the 2nd number to be more than 1
that would be the 3rd one, y=3(8)ˣ
<u>Differentiate using the Quotient Rule</u> –
![\pink{\twoheadrightarrow \sf \dfrac{d}{dx} \bigg[\dfrac{f(x)}{g(x)} \bigg]= \dfrac{ g(x)\:\dfrac{d}{dx}\bigg[f(x)\bigg] -f(x)\dfrac{d}{dx}\:\bigg[g(x)\bigg]}{g(x)^2}}\\](https://tex.z-dn.net/?f=%5Cpink%7B%5Ctwoheadrightarrow%20%5Csf%20%5Cdfrac%7Bd%7D%7Bdx%7D%20%5Cbigg%5B%5Cdfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5Cbigg%5D%3D%20%5Cdfrac%7B%20g%28x%29%5C%3A%5Cdfrac%7Bd%7D%7Bdx%7D%5Cbigg%5Bf%28x%29%5Cbigg%5D%20-f%28x%29%5Cdfrac%7Bd%7D%7Bdx%7D%5C%3A%5Cbigg%5Bg%28x%29%5Cbigg%5D%7D%7Bg%28x%29%5E2%7D%7D%5C%5C)
According to the given question, we have –
- f(x) = x^3+5x+2
- g(x) = x^2-1
Let's solve it!
![\green{\twoheadrightarrow \bf \dfrac{d}{dx}\bigg[ \dfrac{x^3+5x+2 }{x^2-1}\bigg]} \\](https://tex.z-dn.net/?f=%5Cgreen%7B%5Ctwoheadrightarrow%20%5Cbf%20%5Cdfrac%7Bd%7D%7Bdx%7D%5Cbigg%5B%20%5Cdfrac%7Bx%5E3%2B5x%2B2%20%7D%7Bx%5E2-1%7D%5Cbigg%5D%7D%20%5C%5C)
