?Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.
?
 
?

A. ?converges to 0
B. converges to 5
C. ?converges to 
D. ?diverges to 
E. ??diverges to 


Answer: C

Mathematics

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Solve the problem.Suppose that Janine desires 46 grams of protein and 38 grams of dietary fiber daily. One serving of kidney beans has 8 grams of protein and 6 grams of dietary fiber. One serving of refried pinto beans has 6 grams of protein and 6 grams of dietary fiber. If a serving of kidney beans costs $0.45 and a serving of refried pinto beans costs $0.35, then how many servings of each should Janine eat to minimize cost and still meet her requirements?

A.  servings of refried pinto beans and no kidney beans
B.  servings of kidney beans and no refried pinto beans
C. 4 servings of refried pinto beans and  servings of kidney beans
D.  servings of refried pinto beans and 4 servings of kidney beans

Mathematics

Find the center, foci, and vertices of the ellipse.4x2 + 5y2 - 40x + 40y + 160 = 0

A.  +  = 1
center: (5, -4); foci: (6, -4), (4, -4); vertices: (7.2, -4), (2.8, -4)
B.  +  = 1
center: (5, -4); foci: (6, -4), (4, -4); vertices: (7.2, -4), (2.8, -4)
C.  +  = 1
center: (-5, 4); foci: (-4, 4), (-6, 4); vertices: (-7.2, 4), (-2.8, 4)
D.  +  = 1
center: (-5, 4); foci: (-4, 4), (-6, 4); vertices: (-7.2, 4), (-2.8, 4)

Mathematics

Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.

A. , x ? -4, -9
B. - , x ? -4, -9
C. , x ? - 
D. , x ? - 

Mathematics

Solve the system of equations by the substitution method. Check your solutions. For any dependent equations, write your answer in the ordered pair form.

A. {(1, 1)} B. {(1, 0)} C. {(0, 0)} D. {(0, 1)}

Mathematics