Find the area bounded by the curve y = x1/2 + 2 the x - axis, and the lines x = 1 and x = 4?
1 answer:
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Answer:
Area = 2831.25 square yards
Perimeter =215.6 yards
EXPLANATION
The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.
That means, area of the rectangular field is given by the formula,
We just have to substitute
and 
into the given formula and evaluate.
This implies that;
This gives the area of the rectangular-shaped field to be;
square yards.
Now for the perimeter, we use the formula
Or
Substituting the values for the length and width gives,
Hence the perimeter of the rectangular shaped field is 215.6 yards.
Perimeter =215.6 yards
EXPLANATION
The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.
That means, area of the rectangular field is given by the formula,
We just have to substitute
This implies that;
This gives the area of the rectangular-shaped field to be;
Now for the perimeter, we use the formula
Or
Substituting the values for the length and width gives,
Hence the perimeter of the rectangular shaped field is 215.6 yards.
The result of simplifying the expression (x²/x⁻¹¹)¹/₃ using the exponent rules is (x¹³)
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(x²/x⁻¹¹)¹/₃
Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:
(x⁽²⁻⁽⁻¹¹⁾)¹/₃
(x⁽²⁺¹¹⁾)¹/₃
(x¹³)¹/₃
Using the power of a power rule that indicates that: the exponent result will be the multiplication of these powers, we have:
x⁽¹³*¹/₃⁾
x⁽¹³/₃⁾
As we have a fractional exponent, you must convert the exponent to root:
(x¹³)
In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
Learn more about exponent at: brainly.com/question/847241
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