Find the difference : 7 7/8 - 3 1/4 =

1 answer:

6 0

The simplest way to do this is to get it into improper fraction form with the same denominator.
First things first, get it into an improper fraction.

7 7/8 = 7*8+7/8 3 1/4 = 3*4+1/4
= 56+7/8 = 12+1/4
= 63/8 = 13/4

The next thing to do is to get the denominators the same by finding the LCF, which could be done by dividing the 63/8 by 4, which would give a decimal as a numerator, so its best to multiply 13/4 by two
The two fraction will then be:
63/8 and 26/8
Seeing as the denominators are the same, you can simply subtract the numerators and simplify, i.e.
63-26/8 = 37/8
= 4 5/8
Hope this makes sense :D

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Consider the integral 8 (x2+1) dx 0 (a) Estimate the area under the curve using a left-hand sum with n = 4. 250 Is this sum an o

Leya [2.2K]

Answer:

(a) 120 square units (underestimate)

(b) 248 square units

Step-by-step explanation:

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