T - 14 = -3what is t
1 answer:
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Given the dimension of the length and area of the rectangle, the dimension of the breadth x is 9in.
Hence, option A is the correct answer.
This question is incomplete, the missing diagram is uploaded along this answer below.
<h3>What is the value of x?</h3>Area of a rectangle is expressed as; A = l × b
Given that;
- Length of the rectangle l = 20in
- Breadth b = x
- Area A = 180in²
A = l × b
180in² = 20in × x
x = 180in² / 20in
x = 9in
Given the dimension of the length and area of the rectangle, the dimension of the breadth x is 9in.
Hence, option A is the correct answer.
Learn more about area of rectangle here: brainly.com/question/12019874
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Answer:
- (-1, -32) absolute minimum
- (0, 0) relative maximum
- (2, -32) absolute minimum
- (+∞, +∞) absolute maximum (or "no absolute maximum")
Step-by-step explanation:
There will be extremes at the ends of the domain interval, and at turning points where the first derivative is zero.
The derivative is ...
h'(t) = 24t^2 -48t = 24t(t -2)
This has zeros at t=0 and t=2, so that is where extremes will be located.
We can determine relative and absolute extrema by evaluating the function at the interval ends and at the turning points.
h(-1) = 8(-1)²(-1-3) = -32
h(0) = 8(0)(0-3) = 0
h(2) = 8(2²)(2 -3) = -32
h(∞) = 8(∞)³ = ∞
The absolute minimum is -32, found at t=-1 and at t=2. The absolute maximum is ∞, found at t→∞. The relative maximum is 0, found at t=0.
The extrema are ...
- (-1, -32) absolute minimum
- (0, 0) relative maximum
- (2, -32) absolute minimum
- (+∞, +∞) absolute maximum
_____
Normally, we would not list (∞, ∞) as being an absolute maximum, because it is not a specific value at a specific point. Rather, we might say there is no absolute maximum.
