The given functions are
Evaluate the functions.
1. Because 7/4 > 1 and the exponent is positive,
the function does not decay.
2.Because 4/5 < 1 and the exponent is negative,
the function does not decay.
3. Because 8/7 > 1 and the exponent is negative,
the function decays.
4. Because 9/2 > 1 and the exponent is positive,
the function does not decay.
A composite plot the functions verifies the answer.
Answer:
Answer: Zoey needs 168 square feet if carpet squares.
Step-by-step explanation:
Zoey wants to cover her bedroom floor with carpet squares. Each square has an area of 1 square foot.
The formula for determining the area of a rectangle is expressed as
Area = length × width
Her bedroom measures 12 feet by 14 feet. Therefore, the area of her bedroom would be
12 × 14 = 168 square feet.
Therefore, the number of carpet squares that Zoey needs would be
168/1 = 168 square feet
Answer:
The answer is 48 units³
Step-by-step explanation:
If we simply draw out the region on the x-y plane enclosed between these lines we realize that,if we evaluate the integral the limits all in all cannot be constants since one side of the triangular region is slanted whose equation is given by y=x. So the one of the limit of one of the integrals in the double integral we need to evaluate must be a variable. We choose x part of the integral to have a variable limit, we could well have chosen y's limits as non constant, but it wouldn't make any difference. So the double integral we need to evaluate is given by,
Please note that the order of integration is very important here.We cannot evaluate an integral with variable limit last, we have to evaluate it first.after performing the elementary x integral we get,
After performing the elementary y integral we obtain the desired volume as below,
(a-b)²=(a²-2ab+b²)
3(x-2)²-2(x-1)
=3(x²-4x+4)-2(x-1)
=3x²-12x+12-2x+2
=3x²-14x+14
Answer: 3x²-14x+14
If it’s 3% that’s 36% a year which means 360% in ten years. $2000+360%=$9200
