Answer:

Step-by-step explanation:
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4 ft/sec X 3600 sec/hour = 14400 ft/hour
14400 ft/hour / 5280 ft/mile = 2.727 miles/hour
The value of x in the figure is 74
<h3>How to determine the value of x?</h3>
The attached image represents the missing part of the question.
From the attached image, the tangent lines are LM and NM.
Opposite angles of a quadrilateral add up to 180.
So, we have:
x + 106 = 180
Subtract 106 from both sides
x = 74
Hence, the value of x is 74
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The height of the rectangular box whose volume is 27 cubic feet is 3 feet.
Let the height of the rectangualr box be h.
According to the given question.
The measures of the base of a rectangular box = 3 feet × 3 feet
Volume of the rectangular box = 27 cubic feet
As we know that, the volume of any rectangular box is calculated by taking its product of length, width and height.
So, the height of the rectangular box is given by
27 = 3 × 3 × h
⇒ 27 = 9 × h
⇒ 27/9 = h
⇒ h = 3 feet
Hence, the height of the rectangular box is 3 feet.
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You first have to observe that r(t) = sin t i+ cos t j sin 2t k is negative oriented
Using Stoke's theorem:
Lower limit: C
Integral of equation with lower limit of c (y = sin^3 x) dx + (z^2 + cos^4y) dy + (x^3 + tan^5z) dz = - double integral of lower limit S delta F ds
where:
S (surface z) = 2xy bounded by D = Open Bracket x^2 + y^2 less than or equal to 1 close bracket
Please refer to the image attached for the solution, exact details and the answer