Answer:

Step-by-step explanation:
<u>Find the first implicit derivative using implicit differentiation</u>
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<u>Use the substitution of dy/dx to find the second derivative (d²y/dx²)</u>
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The probability of one head and one tail is 2/3.
<u>Step-by-step explanation</u>:
- The possibilities for flipping two fair coins are {T,T}, {H,H}, {H,T}, {T,H}
- Given the case that at least one coin lands on a head, So the total possibilities are {H,H}, {H,T}, {T,H} = 3 possibilities
- Required event is 1 head and 1 tail= {H,T}, {T,H} = 2 possibilities
To calculate the probability of one head and one tail,
Probability = required events / Total events
Probability = 2/3
Answer:
(x -+2)² + (y - 4)² = 36
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 2, 4) and r = 6 , then
(x - (- 2))² + (y - 4)² = 6² , that is
(x + 2)² + (y - 4)² = 36 ← equation of circle