Answer:207
Step-by-step explanation: i just am really good at math
The absolute minimum = -2√2.
The absolute maximum= 4.5
Consider f(t)=t√9-t on the interval (1,3].
Find the critical points: Find f'(t)=0.
f"(t) = 0
√9-t² d/dt t + t d/dt √9-t²=0
√9-t² + t/2√9-t² (-2t)=0
9-t²-t²/√9-t²=0
9-2t²=0
9=2t², t²=9/2, t=±3/√2
since -3/√2∉ (1,3].
Therefore, the critical point in the interval (1,3] is t= 3/√2.
Find the value of the function at t=1, 3/√2,3 to find the absolute maximum and minimum.
f(-1)=-1√9-1²
= -√8 , =-2√2
f(3/√2)= 3/√2 √9-(3/√2)²
= 3/√2 √9-9/2
=3/√2 √9/2
=9/2 = 4.5
f(3)= 3√9-3²
= 3(0)
=0
The absolute maximum is 4.5 and the absolute minimum is -2√2.
The absolute maximum point is the point at which the function reaches the maximum possible value. Similarly, the absolute minimum point is the point at which the function takes the smallest possible value.
A relative maximum or minimum occurs at an inflection point on the curve. The absolute minimum and maximum values are the corresponding values over the full range of the function. That is, the absolute minimum and maximum values are bounded by the function's domain.
Learn more about Absolute minimum and maximum here:brainly.com/question/19921479
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Answer:
The answer is 0.105
Step-by-step explanation:
Let cars =C and motorcycles=M.
now, P(C)=76 percent =0.76
P(M)=12 percent=0.12
P(C∩M)=8 percent =0.08
Then, the probability that a person owns a motorcycle, given they own a car, is a conditional probability given by the definition
P(M/C)=
=
=0.105
Therefore, the answer is 0.105
I believe it is well understood.
Answer:
James answered 51 questions correctly.
Step-by-step explanation:
1) Slide the decimal 2 places to the left in the percentage (85% = .85)
2) Multiply total by new decimal (60 x .85)
3) All done! (51)
Keep in mind that 100% is just 1 whole. Therefor 85% of one whole is .85. In this problem, 60 represents our whole.
Answer:
Two real solutions
Step-by-step explanation:
z=-1.45
z=0.45
