4 pounds covers434 sq ft how many pounds needed for 6944 square feet
1 answer:
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Answer:
The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.
Step-by-step explanation:
We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.
The composition of a function and its inverse is x. So an easy approach to solve this question is to find the composition of a function with itself. If the composition results in an answer "x", then this will mean that function and its inverse are the same.
Finding the composition for 1st option:
Since the composition of the function with itself is not x, the function and its inverse are not the same.
Similarly, we can find the compositions of next 3 functions with themselves. The results of compositions are listed below:
(gog)(x)=g(g(x)) = x
(hoh)(x)=h(h(x))=
(kok)(x)=k(k(x))= x
Thus the option 2 and 4 are the correct answers i.e. these functions are the same as their inverse functions.
Finding the composition for 1st option:
Since the composition of the function with itself is not x, the function and its inverse are not the same.
Similarly, we can find the compositions of next 3 functions with themselves. The results of compositions are listed below:
(gog)(x)=g(g(x)) = x
(hoh)(x)=h(h(x))=
(kok)(x)=k(k(x))= x
Thus the option 2 and 4 are the correct answers i.e. these functions are the same as their inverse functions.