Answer:

Step-by-step explanation:
Total Surface Area of Cylinder = 
Given from the question, r = 7 cm and h = 15cm
Lets Substitute r and h into the formula to find the Total Surface Area of the cylinder.
Total Surface Area of Cylinder = 
<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)














Answer:
Combine the like terms
Step-by-step explanation:
2 + 7 = 2x + 5 - 43
The first step is to combine the like terms
9 = 2x - 38
Answer:
x > -2
Step-by-step explanation:
14 <-7x
or, 14/-7=-7x/-7
or, -2 < x
Answer:
A) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Step-by-step explanation:
Here f(x) represents the y axis.
The value of f(x) is negative over the intervals (-∞, -0.7) and (0.76, 2.5).
You can see in the graph f(x) below 0.
Therefore, the answer is A) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Hope this will helpful.
Thank you.