Solve the system of equations by finding the reduced row echelon form for the augmented matrix.3x + 3y + z = 105x - 3y - z = -23x + y + 3z = 16
A. (4, 1, 1)
B. No solution
C. (1, 1, 4)
D. (1, 4, 1)
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 = 0.9, K = 7700, P0 = 550
A. P' = 0.9P
; P = 
B. P' = 0.9P
; P = - 
C. P' = 0.9P
; P = 
D. P' = -0.9P
; P = 
Solve the problem.The logistic growth function f(t) = 
describes the population of a species of butterflies 
after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 15 months?
A. 356 butterflies B. 601 butterflies C. 1200 butterflies D. 9000 butterflies
Solve the problem.The bank's temperature display shows that it is 36° Celsius. What is the temperature in Fahrenheit?
A. 122.4° B. 2.2° C. 37.8° D. 96.8°
Evaluate. Assume u > 0 when ln u appears. 
A. - 
(x3 + 3)-1/2 + C
B. 
(x3 + 3)3/2 + C
C. 
(x3 + 3)3/2 + C
D. 2(x3 + 3)3/2 + C