Solving r=5sin(2^): What Do the Options Mean?

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The discussion centers on the mathematical expression r=5sin(2^) and seeks clarification on its meaning and the implications of the options provided. Participants express confusion over the notation, particularly the use of "2^," which some interpret as degrees, leading to questions about the relevance of maximum and minimum values for a single output. It is suggested that if the expression were r=5sin(2^x), then the maximum and minimum values could be determined based on the sine function's range. The conversation highlights the need for clearer notation to properly analyze the mathematical problem. Understanding the context and correct interpretation of the expression is crucial for solving the question effectively.
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can someone explain what this question means
r=5sin(2^)

options
a. max calue r occurs when sin(2^)=1
b. " " sin*2^)=-1
c. min sin(2^)=0
d. min Sin(2^)=-1
 
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Min Max how to figure what they are ??

can someone explain what this question means
r=5sin(2^)

options
a. max calue r occurs when sin(2^)=1
b. " " sin*2^)=-1
c. min sin(2^)=0
d. min Sin(2^)=-1
 
Your notation is strange. What is 2^? I also have trouble understanding the options.
 


1672978 said:
can someone explain what this question means
r=5sin(2^)

options
a. max calue r occurs when sin(2^)=1
b. " " sin*2^)=-1
c. min sin(2^)=0
d. min Sin(2^)=-1
At first I thought that "^" was "degrees" so that sin(2^) was "sin of 2 degrees" but then 5 sin(2 degrees) is a specific number- it would make no sense to talk about "max" and "min" for a single number. Only an expression or function can have "max" or "min" so- what does "sin(2^)" mean?

If the problem was actually r= 5sin(2^x), that is r= 5 sin(2^x), then just use the fact that the largest possible value of sine is 1 and the smallest possible value is -1.
 
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Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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