Answer:
yay thats true j paralal to k
The value of the required integral is 50π where C is the positively oriented circle x2+y2=25
We are given a vector F = -yi + xj. A vector is a quantity with magnitude and direction that is commonly represented by a directed line segment, with length representing magnitude and orientation in space representing direction. We need to use the tangential vector form of Green's Theorem to compute the circulation integral ∫CF⋅dr where C is the positively oriented circle x² + y² = 25
Let the value of the integral be represented by the variable "I".
I = ∫∫[(/x)(x) - (/y)(-y)]dA
I = ∫∫[(1 - (-1)]dA
I = ∫∫2dA
I = 2∫∫dA
I = 2×(Area of the circle)
I = 2*(πr²)
I = 2*(π*25)
I = 50π
Hence, the value of the required integral is 50π.
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ANSWER

EXPLANATION
Given the parent function:

If we shift the graph of f(x), 5 units to the left, then the new rule is

If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,

Or

Answer:
Difference is $3
Step-by-step explanation:
The Jones Family bought 3 adult tickets and 7 student tickets, so they spent 27+42=$69 spent.
The Smith Family bought 4 adult tickets and 5 student tickets, so they spent 36+30=$66 spent.
The difference between them is 69-66=$3.
So, the difference between how much the two families spent is $3.