a. The multiplication property of radicals indicates that if a n and b n are real numbers, then a b n = ?_____________ ⋅ _______________. b. Explain why the following radical is not in simplified form. x 3 c. The radical expression x 10 3 (is/is not) in simplified form. d. The radical expression 18 simplifies to _____ 2 . e. To simplify the radical expression t 14 3 the radicand is rewritten as _ _ ⋅ t 2 3 . f. On a calculator, 2 is given as 1.414213562. Is this decimal number the exact value of 2 ?
a. The multiplication property of radicals indicates that if a n and b n are real numbers, then a b n = ?_____________ ⋅ _______________. b. Explain why the following radical is not in simplified form. x 3 c. The radical expression x 10 3 (is/is not) in simplified form. d. The radical expression 18 simplifies to _____ 2 . e. To simplify the radical expression t 14 3 the radicand is rewritten as _ _ ⋅ t 2 3 . f. On a calculator, 2 is given as 1.414213562. Is this decimal number the exact value of 2 ?
Solution Summary: The author explains that the given radical expression for fill is sqrt[n]ab.
Consider the following elevation function for a region of irregular terrain:
z(x, y)
=
1
x² + y²
25
Here, z is the elevation of the terrain over a point (x, y) with x and y being the horizontal coordinates. The
region of interest lies between x = 0 and x = 5, and y 0 and y = 5.
Your tasks are the following:
=
1. Analyze how the elevation changes with respect to x and y. To find the elevation changes, calculate the
partial derivatives of the elevation function z with respect to x and
2. Calculate the total volume of soil above the 0-level (z
region of interest.
=
y.
0). To do so, integrate z(x, y) over the whole
A truck loaded with rocks weighs 14,260 lb. If the truck weighs 8420 lb, how much do the rocks weigh?
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