Let d = 0.825252525..., then
Therefore,
5,14 is the domain of this function.
Answer:
3 * 2^2 * 5^3
Step-by-step explanation:
Hope this is what you wanted
Answer:
x= "a certain number of inches"
side a= x-3
side b= 2 inches
multiply:
Area= a(b)
A= (x-3)2
A= 2(x-3)
distribute:
A= 2(x-3)
A= (2*x) + (2*-3)
A= 2x-6
Area= 2(x-3)
Area= 2x-6
Step-by-step explanation:
The area of the rectangle is equal to the multiple of its two sides this is equal to two inches times an expression three less than a certain number "x". Using the distributive property, we can solve this expression further to find that the area of this rectangle is also equal to six less than doubling a certain number x.
You can either use the inverse function theorem or compute the general derivative using implicit differentiation. The first method is slightly faster.
The IFT goes like this: if f(x) is invertible and f(a) = b, then finv(b) = a (where "finv" means "inverse of f").
By definition of inverse functions, we have
f(finv(x)) = finv(f(x)) = x
Differentiating both sides of the second equality with respect to x using the chain rule gives
finv'(f(x)) * f'(x) = 1
When x = a, we get
finv'(b) * f'(a) = 1
or
finv'(b) = 1/f'(a)
Now let f(x) = sin(x), which is invertible over the interval -π/2 ≤ x ≤ π/2. In the interval, we have sin(x) = √3/2 when x = π/3. We also have f'(x) = cos(x).
So we take a = π/3 and b = √3/2. Then
arcsin'(√3/2) = 1/cos(π/3) = 1/(1/2) = 2