Answer:

Step-by-step explanation:
Given the integral equation

According to integration by part;

u = x, dv = e^7x
du/dx = 1
du = dx

Substitute the given values into the formula;

 
        
             
        
        
        
Step-by-step explanation:
The displacement of a particle d (in km) as a function of time t (in hours) is given by :

Displacement at t = 4 hours,

Velocity of particle is given by :

Velocity at t = 4 hours,

Acceleration of the particle is given by :

At t = 4 hours,

Therefore, the displacement, velocity and acceleration at t = 4 hours is 205 km, 136 km/h and 58 km/h² respectively. 
 
        
             
        
        
        
Answer:
b = -1
Step-by-step explanation:
7(3b-1): 7 goes into the numbers by multiplying. This will give you 21b-7. 
So now the equation should be like 21b-7=2b-26. 
-7 and 2b swap places, making 21b-2b=7-26. It will give you 19b= -19.
Finally divide the two numbers (-19 / 19) and the solution will be b= -1.
If I didn't make a clear answer or a good explanation, please comment. I sometimes mess up my steps, and this is my first time using this.
 
        
                    
             
        
        
        
Seven hundred and sixty-three thousand, and eighty- nine.