![\int 10e^x dx = 10 \int e^x dx = 10 e^x + C](https://tex.z-dn.net/?f=%20%5Cint%2010e%5Ex%20dx%20%3D%2010%20%5Cint%20e%5Ex%20dx%20%3D%2010%20e%5Ex%20%2B%20C%20)
The first step, factoring out the constant 10, is due to the Constant Multiple Rule:
![\int k \cdot f(x) dx = k \cdot \int f(x) dx](https://tex.z-dn.net/?f=%20%5Cint%20k%20%5Ccdot%20f%28x%29%20dx%20%3D%20k%20%5Ccdot%20%5Cint%20f%28x%29%20dx%20)
The derivative of the natural exponential function is itself!
. Reversing this,
![\int e^x dx = e^x + C](https://tex.z-dn.net/?f=%20%5Cint%20e%5Ex%20dx%20%3D%20e%5Ex%20%2B%20C%20)
Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.
As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.
Here in the figure the other two angles given
and
. Sum of these two angles is 90°.
So we can write the equation as,
![(2x)+(x+15) = 90](https://tex.z-dn.net/?f=%20%282x%29%2B%28x%2B15%29%20%3D%2090%20)
We have to remove the parenthesis now.
![2x+x+15 = 90](https://tex.z-dn.net/?f=%202x%2Bx%2B15%20%3D%2090%20)
Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,
![3x+15 = 90](https://tex.z-dn.net/?f=%203x%2B15%20%3D%2090%20)
To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.
![3x+15-15 = 90-15](https://tex.z-dn.net/?f=%203x%2B15-15%20%3D%2090-15%20)
![3x= 90-15](https://tex.z-dn.net/?f=%203x%3D%2090-15%20)
![3x= 75](https://tex.z-dn.net/?f=%203x%3D%2075%20)
Now to get x, we have to move 3 to the other side, by dividing it to both sides.
![(3x)/3 = (75)/3](https://tex.z-dn.net/?f=%20%283x%29%2F3%20%3D%20%2875%29%2F3%20)
![x = (75)/3](https://tex.z-dn.net/?f=%20x%20%3D%20%2875%29%2F3%20)
![x = 25](https://tex.z-dn.net/?f=%20x%20%3D%2025%20)
We have got the required value of x.
The solution is x= 25.
Answer:
2.7
Step-by-step explanation:
Answer:
96 cm^3
Step-by-step explanation:
I hope this helped!
Answer:
5,5 -5,5
Step-by-step explanation:
If this does not help you im sorry