The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
<h3>What is the
Area of a Trapezoid?</h3>
Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.
Given:
a = 3x + 5
b = x - 2
h = 2x - 5
Thus:
Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)
Area of trapezoid = 1/2(4x + 3)(2x - 5)
Area of trapezoid = 1/2(8x² - 14x - 15)
Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
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The answer to this is A. I hope this helps
Answer:
1:-3, 1:2
Step-by-step explanation:
Answer:
(1/17) [In |eˣ - 4| - 0.5 In |e²ˣ + 1| - 4 arctan eˣ] + c
Step-by-step explanation:
The solution to the question is provided in the attached image.
The right substitution is y = eˣ
y = eˣ
(dy/dx) = eˣ
dy = eˣ dx
dx = (dy/eˣ)
And x = In y
We then obtain an expression that can be resolved into integrable form by resolving into partial fractions.
After this, the partial fractions is then integrated; giving the final answer obtained.
20*3/4 = 60/4....and 60/4 = 15
