It’s not a particularly simple antiderivative, and it involves a trig identity that you do not need to know for the ap exam.
here’s the work for the indefinite integral
Lets do the math for real: 384400 - 4 = 384396.
So we still have 384400 km to go. However space isn't about distance but velocity.
So lets say we want to go to the moon with our dogecoin rocket. We first need a map. This states we need about 15070Ð to reach the moon. However we need to take in account some dips so it might be better to bring along 17000Ð.
This map also only takes in account the most efficient way to the moon, lets say we want to rush to the moon using Our "Wow Much Thrust Engine". That has a max acceleration of 40m/s. The moon is 384400000 meters away.
The formula for constant acceleration is: d= x0+v0⋅t+0.5⋅a⋅t2. Since x0(start distance) and v0(start speed) are zero we can shorten the formule to: d = ( a*t^2 )/2.
What for our moon is: 384400000 = ( 40*t^2 ) / 2. What means we will crash in to the moon in 4384 seconds at 175360 m/s. What is not ideal if we want to hug or fellow shibes upon landing.
So 384400000/2 = ( 40*t^2 ) / 2 results in 3100 seconds. This is the time it takes to travel half of the distance at max speed. But now we gotta slow down to not crash on the moon, so we take the exact same path. So 3100 * 2 = 6200 seconds. Sadly enough we are going to need a big shibe that could ensure us enough volume to make such rocket.
Please: Always make your own calculation for your own rockets, this rocket is only purely hypothetical, also I replaced m/s with Ð. If I made a mistake somewhere please point it out. This calculation also does not take in account current position of the moon and rotation of the bodies we launch/land on. Also this simulator is neat.
Cymath is also good for checking answers step-by-step! Also, this derivative calculator gives steps and is great when I'm too lazy to derive or don't know how to derive something.
You're welcome :)
For the calculator, it is not a physical calculator but many online websites have this feature. One that I liked for that was https://www.cymath.com/ It also has an app on Google Play. I am not sure if it is available on Apple devices.
2(3) is the same as 2*3 the paranthesis serves no other purpose besides keeping the numbers apart so you dont need to put a * sign
If it was written as 6/(2(1+2)) then you'd be right.
Then its 6/(2(3))
The (2(3)) is still in paranthesis so you do it forst
2(3) only the 3 is in paranthesis and would be written as 6/2*3 if you didn't want to keep the paranthesis.
>Use that Wikipedia article and PEMDAS
>Remember you must always do division before addition.
Why though? The linked Wikipedia article literally states
> Mnemonics do not reflect the grouping of addition/subtraction or multiplication/division so their use can result in this misunderstanding.
Solving 3x - 7 = 20
Hey op. I used to be a Kumon tutor and also finished the program myself. While I’m not 100% sure what math you are doing I mostly covers algebra 1 and some geometry. One thing that helped me was searching for tutorials on YouTube, and there are also algebra or geometry calculators with steps that can help you understand better how to find the answers.
Cymath has good one and can be found here.
As a side note, I know Kumon doesn’t always go by tradicional concept naming and glancing at curriculums such as Kahn academy can sometimes help find the more common name of a concept you’re trying to learn.
>duckduckgo and google have one built in
I also recommend the cymath website. Really helpful for longer mathematical terms, because it explains step-by-step how to solve them.
You sure? Maybe, just maybe I put the 3 equations into https://www.cymath.com separated by semicolon, and it did the math for me?
This is the 21st century, and anyone that can use Reddit probably also has all the knowledge and tools of the internet at their disposal. Why would anyone waste time with math, when there is nobody to appreciate the way the question is solved to begin with?
It was part of a much larger expression that I have factored but I don't understand how to factor the negatives or why that works?
A tip, if there is ever a problem that you don't know the answer to, use https://www.cymath.com for algebra, and https://www.symbolab.com/solver/derivative-calculator for derivatives and integration. This helped me see steps that I was missing in problems I couldn't solve. https://www.desmos.com/calculator is also a good online graphing calculator should you ever need to graph to understand a concept.
If you use these online solvers, be sure to solve another problem similar to the one you're working but with different numbers so that you are actually practicing instead of copying the steps.
There used to be a site where they would show step by step process. Also calculus has lots of short cuts. Check those out. I don't remember them though. Calculus short cuts http://www.empirenet.com/tajames/calculus/notes-derivative-shortcuts.html http://calculustricks.com/tricks/u-substitution-shortcut/
Also check some youtube videos on same
>Cymath.com is like mathway but better. This site solves your problems anyway you like, then shows you all the steps for free. > >Here's an example of how it works: https://www.cymath.com/answer.php?q=%285%2Ax%2B1%29%2F%28x-1%29%3D%2820%2Ax-11%29%2F%284%2Ax-7%29
>Cymath.com is like mathway but better. This site solves your problems anyway you like, then shows you all the steps for free. > >Here's an example of how it works: https://www.cymath.com/answer.php?q=%285%2Ax%2B1%29%2F%28x-1%29%3D%2820%2Ax-11%29%2F%284%2Ax-7%29