Answer:
(a) 120 square units (underestimate)
(b) 248 square units
Step-by-step explanation:
<u>(a) left sum</u>
See the attachment for a diagram of the areas being summed (in orange). This is the sum of the first 4 table values for f(x), each multiplied by 2 (the width of the rectangle). Quite clearly, the curve is above the rectangle for the entire interval, so the rectangle area underestimates the area under the curve.
left sum = 2(1 + 5 + 17 + 37) = 2(60) = 120 . . . . square units
<u>(b) right sum</u>
The right sum is the sum of the last 4 table values for f(x), each multiplied by 2 (the width of the rectangle). This sum is ...
right sum = 2(5 +17 + 37 +65) = 2(124) = 248 . . . . square units
Given:
To find:
The simplified fraction.
Solution:
Step 1: Simplify the numerator
Step 2: Simplify the denominator
Step 3: Using step 1 and step 2
Step 4: Using fraction rule:
Cancel the common factor r and t², we get
Cancel the common factors 16 and 3 on both numerator and denominator.
The simplified fraction is .
Answer:
The area of the figure is equal to
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of the figure is equal to the area of a square plus the area of a triangle
<u>Find the area of the square</u>
The area of square is equal to
<u>Find the area of the triangle</u>
The area of the triangle is equal to
therefore
The area of the figure is equal to
Answer:
(-4, -3)
Step-by-step explanation:
That's Correct!
x + 4 shifts the origin 4 left
y + 3 shifts the origin 3 down
(-4, -3)
