Answer:

Step-by-step explanation:
The area of a trapezoid is calculated using the formula:

We substitute the values into the formula to obtain:

We simplify the parenthesis to get:

We simplify further to obtain;

Let the radius of the base be r units
Then the height will be 3r units
Volume of cylinder = pi r^2 h
24=pi r^2 × 3r
Pir^3 = 24/3
Pi r ^3 =8
r^3 = 8/pi
R = 2 / pi^1/3
Height = 6/pi^1/3
For number 2. The answer is $6.49
The new function is g(x) =-1(1/-x) +2.
The transformation of function f(x) to function g(x) is given by g(x)=A f(Bx+ H)+K. where the constant A scales the function vertically. (A negative A reflects the function about the x-axis B scales the function horizontally. (A negative B reflects the function on the y-axis.) H shifts the function horizontally, and K shifts the function vertically.
Convert f(x) to g(x)
where the conversion is g(x)=f(x)+2.
A perpendicular line has negative reciprocal slopes, so for g(x) to be perpendicular to f(x), we need to get the negative reciprocal of -x, which is -1(1/-x)
So, f(x)=-x-2 ; m = -1
From the above information, we get g(x) as follows.
g(x) =-1(1/-x) +2
More problems related to finding new functions for a given function are below.
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F(n)=f(n-1)+3 such that
f(1)=2