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hoa [83]
3 years ago
13

A square garden is surrounded by a walk 2 yard wide area. If the area of the walk is 96 square yards, what is the area of the ga

rden?
Mathematics
2 answers:
RUDIKE [14]3 years ago
5 0
The area of the walk is 384
rodikova [14]3 years ago
4 0
The total area around the garden is 48
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If f(x) is differentiable for the closed interval [-1, 4] such that f(-1) = -3 and f(4) = 12, then there exists a value c, -1&lt
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Answer: Choice A,   f ' (c) = 3

============================================

Work Shown:

f(-1) = -3 means the point (-1,-3) is on the f(x) curve.

f(4) = 12 means (4,12) is on the f(x) curve as well.

Compute the slope of the line through those two points.

Slope formula

m = (y2 - y1)/(x2 - x1)

m = (12 - (-3))/(4 - (-1))

m = (12+3)/(4+1)

m = 15/5

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The slope of the secant line through (-1,-3) and (4,12) is m = 3

Through the mean value theorem (MVT), there exists at least one value c such that f ' (c) = 3, where -1 < c < 4, and f(x) is a continuous and differentiable function on this interval in question.

Visually, there exists at least one tangent line that has the same slope of the secant line mentioned. Lines with equal slopes, and different y intercepts, are parallel.

5 0
4 years ago
Read 2 more answers
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