Answer:
1,2 and 4 are conservatives
3 is not conservative
Step-by-step explanation:
We calculate the Curl F
Remember that:
Curl F = <
>
1. Curl F = <0,0,5-5> = <0,0,0>
The potential function f so that ∇f=F
f(x,y,z) = 
Then F is conservative
2. Curl F = < 0, 0 ,0>
The potential function f so that ∇f=F
f(x,y,z) = 
Then F is conservative
3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>
= <0 ,0 , 10 +3xsin(y) + cos(y)<
How the field's divergence is not zero the vector field is not conservative
4. Curl F = <0, 0, 0>
The potential function f so that ∇f=F
f(x,y,z) =
Then F is conservative
Answer:
x=0.875
Step-by-step explanation:
3x-6=2-5x
Add 6 on both sides (6+2)
2x=8-5x
Add 5x on both sides
7x=8
Divide 7 from both sides
x=0.875
Substitute each value until the answer is correct
a. 1 = -4 x -5 -1
1 does not equal 19
b. 15 = -4 x 4 -1
15 does not equal -17
c. -5 = -4 x 1 -1
-5 equals -5
just to make sure the last answer is incorrect
d. -7 = -4 x 2 -1
-7 does not equal -9
<em>A) 22cm</em>
<em>(</em><em> </em><em>divide the length value by 100</em><em>)</em>
<em>2</em><em>2</em><em>/</em><em>1</em><em>0</em><em>0</em><em> </em><em>which</em><em> </em><em>gives</em><em> </em><em>you</em><em>:</em>
<em><u>=</u></em><em><u>0.22m</u></em>
<em>B</em><em>)</em><em> </em><em>180km</em>
<em>(</em><em> </em><em>multiply the length value by </em><em>1000</em><em>)</em>
<em>1</em><em>8</em><em>0</em><em>×</em><em>+</em><em>1</em><em>0</em><em>0</em><em> </em><em>which</em><em> </em><em>gives</em><em> </em><em>you</em><em>:</em>
<em><u>=</u></em><em><u>180000m</u></em>
<em>C</em><em>)</em><em> </em><em>300mm</em>
<em>(</em><em> </em><em>divide the length value by 1000</em><em>)</em>
<em>3</em><em>0</em><em>0</em><em>/</em><em>1</em><em>0</em><em>0</em><em>0</em><em> </em><em>which</em><em> </em><em>gives</em><em> </em><em>you</em><em>:</em>
<em><u>=</u></em><em><u>0.3m</u></em>
<em> </em>
The formula to use here would be:
A = P(1+r)^t where P is the principal (starting) amount, r is the rate of interest, and t is time. Knowing this, plug in your values:
A = 14,000(1+0.07)^4 once worked out, you should get $18,351.14414 < this is the total amount he would be paying at the end of 4 years. to find the interest, subtract this amount from the principal amount (14,000):
$18,5351.14414 - 14,000 = 4,351.14414 < this is the amount of interest. Round your answer.
Answer: Jamal will pain $4,351.14 interest.