Answer:
16 MPH boat speed still water
5 MPH current speed
Step-by-step explanation:
84/4 - x = 55/5 + x
x = (84/4-55/5)/2 = 5 mph current speed in MPH
11+5 = 16 is boat speed in MPH
21 MPH downstream, 11 MPH upstream
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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length of 1 bacteria = 300 = 3 *10^2 nanometers
= 3 * 10^2 / 1 * 10^9 m
= 3 * 10^(2-9)
= 3 * 10^-7 m
Answer: 0.023 is twenty-three thousandths written in standard form!
Yes, because it does not matter which order you multiply the factors in; you will always get the same answer.
