Find the area of the region bounded by the given curves (a) using integration with respect to x and (b) using integration with respect to y.
y = 2
, y = 5x + 6, x = 0
a. 14 b. 14
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Provide an appropriate response.The length of a screw is 4.275 in. Represent this length as a mixed number.
A. 
B. 
C. 
D. 
Find the number of terms in the sequence or the sum of the sequence as requested.Find the sum of the following arithmetic sequence.1 + 2 + 3 + . . . + 500
A. 62,500 B. 251,001 C. 125,000 D. 125,250
Solve the problem.After receiving a discount of 13.5% on its bulk order of typewriter ribbons, John's Office Supply pays $3460. What was the price of the order before the discount?
A. $4000 B. $3927 C. $3166 D. $2993
Provide an appropriate response.It can be shown that a hyperbola with center at the origin, foci at F'(-c, 0) and F(c, 0), and equation 
has equation 
. Use this result to find an equation of a hyperbola with center at the origin, foci at (-4, 0) and (4, 0), and absolute value of the distances from any point of the hyperbola to the two foci equal to 4.
A. 
- 
= 1
B. x2 - y2 = 4
C. 
- 
= 1
D. 
- 
= 1