Which statement is true regarding the graphed functions?
2 answers:
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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.
Answer:
(–5, 12) is the correct answer.
Step-by-step explanation:
We are given the following values:
Now, we know the following identities:
Now, the values are:
Sine value is positive and cos, tan values are negative.
It can be clearly observed that is in 2nd quadrant.
2nd quadrant means, the value of will be negative and
will be positive.
Let us have a look at the value of :
Please refer to the attached image for clear understanding and detailed explanation.
Hence, the correct answer is coordinate (x,y) is (–5, 12)
