The numbers can be arranged in 720 ways.

There are 6 people possible for the first position; 5 for the second; 4 for the third; etc. This gives us 6! = 720.

3 0

3 years ago

10. Find <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bd%5E%7B2%7D%7D%7Bd%20x%5E%7B2%7D%7D%5Cint%20%5Ex_0%5Cleft%28%5Cint%20%5E%7B

RideAnS [48]

Let g(t) denote the inner integral. By the fundamental theorem of calculus, the first derivative is

$\displaystyle \frac{d}{dx} \int_0^x g(t) \, dt = g(x)$

Then using the FTC again, differentiating g gives

$\displaystyle \frac{dg}{dx} = \frac{d}{dx} \int_1^{\sin(x)} \sqrt{1+u^4} \, du = \boxed{\cos(x) \sqrt{1+\sin^4(x)}}$

3 0

2 years ago

Find the product (8b-8)(-2b2 - 7b + 5)

mixas84 [53]

Answer:

(8b-8)(-2b2-7b+5)= 96b-40

8 0

3 years ago