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.
We have to identify the function which has the same set of potential rational roots as the function .
Firstly, we will find the rational roots of the given function.
Let 'p' be the factors of 12
So, p=
Let 'q' be the factors of 3
So, q=
So, the rational roots are given by which are as:
.
Consider the first function given in part A.
f(x) =
Here also, Let 'p' be the factors of 12
So, p=
Let 'q' be the factors of 3
So, q=
So, the rational roots are given by which are as:
.
Therefore, this equation has same rational roots of the given function.
Option A is the correct answer.
Answer:
Option A. 2
Step-by-step explanation:
To solve this problem we can write equations for each shirt color.
Let's call:
b = black shirts
g = gray shirts
w = white shirts
B = brown shirts
If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:
(i)
If you have 5 times more white shirts than gray shirts and gave a white shirt then:
(ii)
It has 2 times more gray shirts than brown camsas, then:
(iii)
It has the same amount of black and white shirts
(iv)
We want to find the number of gray shirts.
Then replace (iv) in (ii)
(v)
Now substitute (v) into (i) and clear g.
Joan has 2 gray shirts