Find the limit. Select the correct answer.
a. 0
b. ?
c. 1n 3 - 1n 4
d. 1n4 - 1n 3
e. 1
d. 1n 4 - 1n 3
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Give a geometric description of the set of points whose coordinates satisfy the given conditions.(x - 1)2 + (y - 6)2 + (z - 6)2 < 16
A. All points outside the lower hemisphere centered at (1, 6, 6) B. All points on the lower hemisphere centered at (1, 6, 6) C. All points within the lower hemisphere centered at (1, 6, 6) D. No set of points satisfy the given relations.
Provide an appropriate response.If g(x) = 2f(x) + 3, find g '(4) given that f ' (4) = 5.
Fill in the blank(s) with the appropriate word(s).
Solve the problem.For a charter flight, an airline charges a fare of $200 per person plus $4 per person for each unsold seat on the plane. If the plane holds 100 passengers and if x represents the number of unsold seats, find an expression for the total revenue received for the flight and find the maximum revenue.[Hint: To find an expression for the total revenue, multiply the number of people flying, 
by the price per ticket.]
A. R(x) = (100 - x)(200 + x) maximum revenue: $22,500 B. R(x) = (100 - x)(200 + 4x) maximum revenue: $22,500 C. R(x) = 204(100 - x) maximum revenue: $20,400 D. R(x) = (100 - x)(200 + 4x) maximum revenue: $18,000
Find the intercepts for the equation.x + y = 1
A. (1, 5) (-4, 1) B. (1, 0) (0, 1) C. (0, -4) (0, 5) D. (-4, 0) (5, 0)