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.
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Answer:
see below
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = x-7
m = 1
b = -7
y = 4
m=0
b = 4
y = -2x+3
m = -2
b = 3
Answer:
The formula to find the third side of the triangle is 
Step-by-step explanation:
In order to find value of the third side without knowing any degree measurements, you need to know value of two sides. Variable 
, in this case, is a hypotenuse (the longest side of the triangle).
Answer:
x^1 = 1, x^2 =2
Step-by-step explanation:
its hard to explain but there's the answer
Answer:
$31 per ticket
$0.33 per volleyball
2 strikeouts per inning
Step-by-step explanation:
Price per ticket:
279 = 9x
Divide both sides by 9
31 = x
Price per volleyball:.
6 = 18x
Divide both sides by 18
6/18 = x
Both the numerator and denominator have a common factor of 6
6 ÷ 6 / 18 ÷ 6 = x
1/3 = x
Convert to decimal for money
0.33 = x
Number of strikeouts per inning:
54 = 27x
Divide both sides by 27
2 = x
