Answer:
0.089
Step-by-step explanation:
f(x) = -ln(x) and g(x) = x²
Start by graphing the region. The two curves intersect at about (0.653, 0.426), with g(x) on the left and f(x) on the right. The region is the triangular area between the curves and above the x-axis.
If we were to cut the region horizontally (perpendicular to the y-axis), the resulting line is the width of the square cross section. The thickness of this square is dy. So the volume of the square is:
dV = A dy
dV = s² dy
dV = (x₂ − x₁)² dy
dV = (e⁻ʸ − √y)² dy
The total volume is the sum of all the squares from y=0 to y=0.426.
V = ∫ dV
V = ∫₀⁰'⁴²⁶ (e⁻ʸ − √y)² dy
Evaluate with a calculator:
V ≈ 0.089
The area of the base of the triangular prism is 48 square meters. Then the correct option is B.
<h3>What is a
triangular prism?</h3>
A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.
A triangular prism has a height of 6 meters and a triangular base with the following dimensions.
The figure is shown below.
Then the area of the base of the triangular prism will be
More about the triangular prism link is given below.
brainly.com/question/12649592
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The quotient of the fraction is 20/49.
<h3>
What is Fraction?</h3>
Fractions are represented as a numerical value, which defines a part of a whole.
Here, the given fractions are:
4/7 and 7/5
Now, according to question
4/7 ÷ 7/5
= 4/7 × 5/7
= (4×5)/(7×7)
= 20/49
Thus, the quotient of the fraction is 20/49.
Learn more about Fraction from:
brainly.com/question/10354322
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The answer to this question, if I'm correct would be:
1/2k - 3/5
I hope I could help (:
