Answer:
The largest integer is 29.
Step-by-step explanation:
Let the consecutive positive integers are x, x+1 and x+2.
The square of sum of squares of three consecutive positive integers is 2354 such that,

It is a quadratic equation whose solution is given by :
x = 27 and x = -29
First positive integer = 27
Second positive integer = 27+1 = 28
Third positive integer = 27+2 = 29
Hence, the largest integer is 29.
Answer:
- g(x) = x^2 +2
- f(g(x)) = 1/(x^2 -3)
Step-by-step explanation:
A. g(x) is given:
g(x) = x^2 +2
__
B. f(g(x)) = f(x^2 +2) = 1/((x^2 +2) -5) . . . . substitute for g(x) and simplify
f(g(x)) = 1/(x^2 -3)
Answer:
Check below
Step-by-step explanation:
1) Check the rectangle below with a line k, the axis of rotation in the center of the figure.
2) Since it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.
3) Let's calculate its radius, based on the information given, i.e. the perimeter:

Since the line of rotation is the center, and the radius is half the line segment of the basis, then the radius is 5.