Answer:
cos6x.
Step-by-step explanation:
We use the identity
cosAcosB - sinAsinB = cos(A+B)
so cos5xcosx - sin5xsinx = cos(5x + x)
= cos6x.
Answer:
(x) = x – 3
Step-by-step explanation:
i had to guess but it shows the answers at the end no need to say thx but it will be nice if you do
-3+5x(-3)-3=0. So -3 is the answer
Answer:
Step-by-step explanation:
5ˣ⁺² = 5⁹
log₅(5ˣ⁺²) = log₅(5⁹)
x+2 = 9
x = 7
Answer:

Step-by-step explanation:
Acceleration is second derivative of distance and are related as:

Integrating both sides w.r.to t

Using initial value

We have to calculate the distance covered in time interval [0,5], so:
![\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft](https://tex.z-dn.net/?f=%5Cint%5Climits%5E5_0%20%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cint%5Climits%5E5_0%20%7B%5Cfrac%7B1%7D%7Bt%2B2%7D%7D%20%5C%2C%20dt%5C%5C%5C%5Cs%28t%29%3D%5Bln%7Ct%2B2%7C%5D%5E5_0%5C%5C%5C%5Cs%28t%29%3Dln%7C5%2B2%7C%2Bln%7C0%2B2%7C%5C%5C%5C%5Cs%28t%29%3D%28ln%7C7%7C%2Bln%7C2%7C%29%5C%2Cft)