Provide an appropriate response.(A) Calculate the change in F(x) from 
to 
.(B) Graph F'(x) and use geometric formulas to calculate the area between the graph of F'(x) and the x-axis from 
to 
.(C) What guarantees that your answers to (A) and (B) are equal?F(x) = x(
style="vertical-align: -17.0px;" />x + 4)
What will be an ideal response?
(A) 76
(B) 76
(C) The fundamental theorem of calculus
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Factor the polynomial.x3 - 125
A. (x + 5)(x2 - 5x + 25) B. (x + 125)(x2 - 1) C. (x - 5)(x2 + 25) D. (x - 5)(x2 + 5x + 25)
Solve. Clear decimals first.26.6t + 159.6 = 7.6t + 45.6
A. 30 B. 6 C. -30 D. -6
Solve the problem.The logistic growth model 
represents the population of a bacterium in a culture tube after t hours. When will the amount of bacteria be 740?
A. 6.29 hours B. 12.28 hours C. 8.25 hours D. 2.26 hours
The pH of an acidic solution is a measure of the concentration of the acid particles in the solution, with smaller values of the pH indicating higher acid concentration. In a laboratory experiment, the pH of a certain acid solution is changed by dissolving over-the-counter antacid tablets into the solution. In this experiment, the pH changes according to the equation
,
where x is the number of grams of antacid added to the solution. What is the pH of the solution after the addition of 0.05 grams of antacid tablet?
A. 5.99
B. 4.02
C. -0.85
D. 4.29
E. 5.14