Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Question 6 of 12, Step 1 of 2
The number of protozoa in a biology laboratory experiment is given by the polynomial function p()- 0.09 + 0.6 + S, where pis
the number of protozoa after t hours.
Step 1 of 2: Determine the number of protozoa after 7 hours. Round your answer to the nearest whole number.
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protozoa after 7 hours
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- (a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.arrow_forwardPoiseuilles Law for Rate of Fluid Flow Poiseuilles law for the rate of flow of a fluid through a tube is a fourth-order polynomial that is also a power function: F=cR4, where F is the flow rate measured as a volume per unit time, c is a constant, and R is the radius of the tube. a. Assume that R increases by 10. Explain why F increases by 46.41. Hint: Consider 1.10 raised to the fourth power. b. What is the flow rate through a 3/4inch pipe compared with that through a 1/2inch pipe? c. Suppose that an artery supplying blood to the heart muscle see Figure 5.86 is partially blocked and is only half its normal radius. What percentage of the usual blood will flow through the partially blocked artery?arrow_forwardProfit The profit P, in thousands of dollars that a manufacturer makes is a function of the number N of items produced in a year, and the formula is P=0.2N2+3.6N9. a. Express using functional notation the profit at a production level of 5 items per year, and then calculate that value. b. Determine the two break-even points for this manufacturesthat is, the two production levels at which the profit is zero. c. Determine the maximum profit if the manufacturer can produce at most 20 items in a year.arrow_forward
- Fill in the blanks. When x=a is a zero of a polynomial function f, the three statements below are true. (a) x=ais a of the polynomial equation f(x)=0. (b) is a factor of the polynomial f(x). (c) (a,0)is an of the graph of f.arrow_forwardThe graph shows a quadratic function of the form P(t)=at2+bt+c which represents the yearly profit for a company, where P(t) is the profit in year t . (a) Is the value of a positive, negative, or zero? Explain. (b) Write an expression in terms of a and b that represents the year t when the company made the least profit. (c) The company made the same yearly profits in 2008 and 2016. Estimate the year in which the company made the least profit.arrow_forwardThe graph below is a polynomial function in the form f(x) = (- a)(x-b)(x- c). Find suitable unique real numbers a, b, and c ribe the graph. VA 1.8 2. b. and c -inf aarrow_forward
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