Answer:
Step-by-step explanation:
Let:
Substitute for y in equation (b) to equation (a):
Also, y = 0
Answer:
ad 5 in both side answer will come -3
Answer: Decimal: x=-1.7~
x= -16/9
mixed: -1 7/9
Step-by-step explanation:
First let's move change the coordinate system so that the rotation axis becomes y
then f(x)=`16x becomes f(x)=16(x-2)=16x-32, y=0 stays as it is but x=1 becomes x=3
then we apply the formula for cyl shells method:
V=integral 2 to 3 (2pi*x*f(x))dx = int 2-3 (2pi*x*16x-2pi*x*32)dx=
int 2-3 32pi*x^2 dx - int 2-3 64pi*x dx = 2-3| 32pi*x^3/3 - 32pi*x^2 =
32pi*27/3 - 32pi*9 - 32pi*8/3+ 32pi*4 = 32pi*(9-9-8/3+4) = 32pi*4/3 = 128pi/3
The balance of the account which earns annual simple interest of $250 at 4% for 1 year is $260
<h3>How to find simple interest?</h3>
- Principal, P = $250
- Interest rate, r = 4%
- Time, t = 1 year
Simple interest = principal × rate × time
= 250 × 4% × 1
= 250 × 0.04 × 1
= $10
Balance = Principal + Simple interest
= $250 + $10
= $260
Learn more about simple interest:
brainly.com/question/20690803
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