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2 answers:
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Answer:
a) is demonstrated below, b) T=1.462N, c) T=14.6N
Step-by-step explanation:
a) Refer to the attached diagram.
Since the bird is standing in the middle of the line and each half is a straight line, Ta=Tb, so we will call the tension T=Ta=Tb and Tay=Tby
By trigonometry Tay=Ta·Sinθ
Since the system is in equilibrium W=Tay+Tby then:
W=2·Tay=2·Ta·Sinθ=2·T·Sinθ
Since W=mg, being m the mass of the bird and g, gravity:
Isolating T, we demonstrate that
b) Replacing θ=5º, m=0.026kg and g=9.8m/s² in the last equation, we can get the tension in Newtons:
c) With θ=0.5º
Answer:
- ∞ < y < ∞
Step-by-step explanation:
The given function is, .
Now, the origin function of this above function is, which has real y-values as output for all real x-values input.
Hence, the function will ba valid for all real values of x and will have real y-value corresponding to each x-value.
Therefore, the range of this function i.e. the y-value of this function will be
- ∞ < y < ∞. (Answer)