Hello,
x^3-12x²-2x+24=x²(x-12)-2(x-12)=(x-12)(x²-2)
Answer D
        
                    
             
        
        
        
Answer:
The integral diverges
Step-by-step explanation:
Consider the integral from 0 to infinity of

We can do this in parts

When we substitute limits infinity we find that the values become infinity
Hence the integral diverges
The given improper integral diverges
 
        
             
        
        
        
Answer:
A 56
C
Right triangle
No,No,No,Yes
Step-by-step explanation:
180-124=56
sin a=sideopposite/hypotnuse
8/17
cos a= side adjecent/hyptnuse
15/17
 
        
             
        
        
        
1) Given that the apple tree is 4/5 pear tree we can write
Apple Tree size = 4/5 Peartree
Apple tree= 4m
2) So we can write the following expression for that:

So the Pear tree is 5 meters tall, and the apple tree is 4/5*5 = 4 m
 
        
             
        
        
        
Step-by-step explanation:
To get from point (4,4) to (10,10), it is the same as ordering 6 Upward and 6 Right arrows in a straight line.
=> 12C6 = 924.
However there is a restriction that we cannot have 3 Upward and 3 Right arrows as our first 6 arrows.
=> 6C3 * 6C3 = 20 * 20 = 400
Hence there are 924 - 400 = 524 different ways.