Given:
The number of cycles is, <em>n</em> (s) = 7.
The number of wheels in the cycle is, <em>n </em>(sw) = 2.
The number of cars is, <em>n</em> (c) = 15.
The number of wheels in the car is, <em>n</em> (cw) = 4.
The obective is to find the total number of wheels.
The total number of wheels is,
Hence, there are 74 wheels in the block.
If there are <em>x</em> bicycles and <em>y </em>cars, the equatioin will be,
Hence, the number of wheels for x bicycles and y cars is 2x+4x.
Answer with explanation:
Let us assume that the 2 functions are:
1) f(x)
2) g(x)
Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that
Now the sum of the 2 functions is shown below
Diffrentiating both sides with respect to 'x' we get
Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus
Thus the sum of the 2 functions is also a concave function.
Part 2)
The product of the 2 functions is shown below
Diffrentiating both sides with respect to 'x' we get
Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.