Answer:
-3
Step-by-step explanation:
Dy/dx = (ycos(x))/(1 + y²)
(1 + y²)/y dy = cos(x) dx
(1/y + y) dy = cos(x) dx
Integrating:
ln(y) + y²/2 = sin(x) + c
ln(1) + 1/2 = sin(0) + c
c = 1/2
Thus,
ln(y) + y²/2 = sin(x) + 1/2
Negative and Positive numbers dictate direction on a graph. Negative numbers indicate the point is moving left, and positive numbers indicate the point is moving right.
Store A :
0.90(45) = 40.50......40.50 + .06(40.50) = 40.50 + 2.43 = 42.93
store B :
46 - 10 = 36......36 * .06(36) = 36 + 2.16 = 38.16
she would have to purchase the rug from store B...because she doesn't have enough money to purchase it from store A. She would have (40 - 38.16) = $ 1.84 in change.
I find this question to be a little misleading....because on a rebate, u dont get the discount right away....u first pay full price, and then later u get the discount mailed back to you. So actually, she wouldn't have enough money at either store.
