Find an equation for the line with the given properties.Perpendicular to the line x = 9; containing the point (7, 2)
A. x = 7
B. x = 2
C. y = 2
D. y = 7
Answer: C
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Write a logistic equation with the given parameter values. Then solve the initial value problem and graph the solution. Let r be the natural growth rate, K the carrying capacity, and P0 the initial population.r = 0.2, K = 1,750, P0 = 70
A. P' = -0.2P
; P = 
B. P' = 0.2P
; P = 
C. P' = 0.2P
; P = 
D. P' = 0.2P
; P = - 
Solve the given third- or fourth-order differential equation.D3y - 8 D2y + 15 Dy = 0
A. y = c1e-5x + c2e-3x B. y = c1e5x + c2e3x C. y = c1 + c2e5x + c3e3x D. y = c1 + c2e-5x + c3e-3x
Solve the logarithmic equation.log3 (x + 4) = -2
A. 5
B. 
C. - 
D. ?
Solve.Each week a soft drink machine sells x cans of soda for $0.75/soda. The cost to the owner of the soda machine for each soda is $0.10. The weekly fixed cost for maintaining the soda machine is $25/week. Write an equation that relates the weekly profit, P, in dollars to the number of cans sold each week. Then use the equation to find the weekly profit when 92 cans of soda are sold in a week.
A. P = 0.65x - 25; $34.80 B. P = 0.65x + 25; $84.80 C. P = 0.75x + 25; $94.00 D. P = 0.75x - 25; $44.00