X -5x -14=0 quadratic formula
1 answer:
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Answer:
Option B
The total amount is $63.31 if there is an 8% tax and the customer leaves a 20% gratuity.
Step-by-step explanation:
Given:
List of items Prices
1 Appetizer $8.59
2 Entrees $15.99 each
1 dessert $4.69
2 drinks $2.10 each
Total amount for the food order came to, =$49.46
Since the restaurant charges 8% as a tax on the total bill.
First, figure out the tax, 8% of $49.46=$3.9568
Now, figure out the Customer leaves a gratuity, 20% of $49.46=
The total amount( including 8% tax and 20% gratuity )=$49.46+$9.896+$3.9568=$63.3128
Answer:
The value of the line integral is 2
Step-by-step explanation:
Note that if you derivate the first part over the variable y and the second part over the variable x, then in both cases you obtain 2xy, therefore there must be a function f whose gradient is h, because the cross derivates are equal.
In order to find such f, you can calculate a primitive of both expressions, the first one over the variable x and the second one over the variable y.
A general primitive of xy² i (over x) is
With a(y) a function that depends only on y. A general primitive of yx² j (over y) is
With b(x) only depending on x
The function f(x,y) whose gradient is h is obtained by equaling the expressions of f₁ and f₂. f₁ and f₂ are equal when a(x) = b(x) = 0, therefore
note that
- fx(x,y) = xy²
- fy(x,y) = yx²
As we wanted. Lets find the endpoints of C
r(u) = u i + 2 u² j
r(0) = (0,0)
f(1) = (1,2)
Therefore,
The value of the line integral over C is 2.