Answer:
(7.5, -1)
Step-by-step explanation:
hope this helps you!
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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Yes, she will because
E.X.:
<span>Divide the sales tax percentage by 100 (or simply move the decimal point two places to the left) to get the decimal equivalent of the rate. So if the tax rate was 7.375%, the decimal equivalent would be .07375.<span>Multiply the taxable price by the decimal equivalent of the rate. For example, if the taxable price was $50.00 and the rate was 7.375%, then the sales taxes would be $3.69 ($50 x .07375 = 3.6875 = $3.69 when rounded to the nearest cent). Hopes this helps if not I can explain it better.</span></span>
Answer:
35 square units
Step-by-step explanation:
multiply the base by the hight