use the given graph of y = ′(x) to find the intervals on which  is increasing, the intervals on which  is decreasing, and the x coordinates of the local extrema of . Sketch a possible graph of y = (x).
> Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = (x).
> Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = (x).
> Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = (x).
> Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = (x).
> Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = (x).
> (x) is continuous on (- ∞, ∞). Use the given information to sketch the graph of .
> (x) is continuous on (- ∞, ∞). Use the given information to sketch the graph of .
> (x) is continuous on (- ∞, ∞). Use the given information to sketch the graph of .
> Use the (empirical) probabilities in Problem 81 to find the probability that a city driver selected at random (A) Drives more than 15,000 miles per year or has an accident (B) Drives 15,000 or fewer miles per year and has an accident. Data from problem
> (x) is continuous on (- ∞, ∞). Use the given information to sketch the graph of .
> use the given sign chart to sketch a possible graph of .
> use the given sign chart to sketch a possible graph of .
> Find the intervals on which the graph of  is concave upward, the intervals on which the graph of  is concave downward, and the x, y coordinates of the inflection points.
> Find the intervals on which the graph of  is concave upward, the intervals on which the graph of  is concave downward, and the x, y coordinates of the inflection points.
> Find the intervals on which the graph of  is concave upward, the intervals on which the graph of  is concave downward, and the x, y coordinates of the inflection points.
> Find the intervals on which the graph of  is concave upward, the intervals on which the graph of  is concave downward, and the x, y coordinates of the inflection points.
> Find the intervals on which the graph of  is concave upward, the intervals on which the graph of  is concave downward, and the x, y coordinates of the inflection points.
> find the x and y coordinates of all inflection points.
> find the x and y coordinates of all inflection points.
> Find the probability of being dealt the given hand from a standard 52-card deck. Refer to the description of a standard 52-card deck on page 384. A 6-card hand that contains exactly two clubs.
> find the x and y coordinates of all inflection points.
> find the indicated derivative for each function.
> find the indicated derivative for each function.
> find the indicated derivative for each function.
> find the indicated derivative for each function.
> match the indicated conditions with one of the graphs (A)–(D) shown in the figure.
> match the indicated conditions with one of the graphs (A)–(D) shown in the figure.
> Use the graph of y = (x) to identify (A) The local extrema of (x). (B) The inflection points of (x). (C) The numbers u for which ′(u)is a local extremum of ′(x).
> (x) is continuous on 1 - ∞, ∞2 and has critical numbers at x = a, b, c, and d. Use the sign chart for ′ (x) to determine whether f has a local maximum, a local
> Refer to the following graph of y = (x): Identify the x coordinates of the points where (x has a local minimum.
> Refer to Problem 79. If a university student is selected at random, what is the (empirical) probability that (A) The student does not own a car? (B) The student owns a car but not a laptop. Data from problem 79: From a survey involving 1,000 university
> Refer to the Venn diagram below for events A and B in an equally likely sample space S. Find each of the indicated probabilities.
> Refer to the following graph of y = (x): Identify the x coordinates of the points where ′(x) does not exist.
> Refer to the following graph of y = (x): Identify the intervals on which ′ (x) > 0.
> Refer to the following graph of y = (x): Identify the intervals on which f1x2 is decreasing
> inspect the graph of the function to determine whether it is increasing or decreasing on the given interval.
> inspect the graph of the function to determine whether it is increasing or decreasing on the given interval.
> inspect the graph of the function to determine whether it is increasing or decreasing on the given interval.
> inspect the graph of the function to determine whether it is increasing or decreasing on the given interval.
> The concentration C(t), in milligrams per cubic centimeter, of a particular drug in a patient’s bloodstream is given by where t is the number of hours after the drug is taken orally. Find the critical numbers of C(t), the intervals on
> A manufacturer incurs the following costs in producing x rain jackets in one day for 0 6 x 6 200: fixed costs, $450; unit production cost, $30 per jacket; equipment maintenance and repairs, 0.08x2 dollars. (A) What is the average cost C(x) per jacket if
> The figure approximates the rate of change of the price of eggs over a 70-month period, where E1t2 is the price of a dozen eggs (in dollars) and t is time (in months). (A) Write a brief description of the graph of y = E(t), including a discussion of any
> Find the probability of being dealt the given hand from a standard 52-card deck. Refer to the description of a standard 52-card deck on page 384. A 5-card hand that consists entirely of face cards.
> The graph of the total revenue R(x) (in dollars) from the sale of x cordless electric screwdrivers is shown in the figure. (A) Write a brief description of the graph of the marginal revenue function y = R′(x), including a discussion o
> Find the critical numbers, the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the local extrema. Do not graph
> Find the critical numbers, the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the local extrema. Do not graph
> Find the critical numbers, the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the local extrema. Do not graph
> use the given graph of y = (x) to find the intervals on which ′(x) > 0, the intervals on which ′(x) 6 0, and the values of x for which 
> use the given graph of y = (x) to find the intervals on which ′(x) > 0, the intervals on which ′(x) 6 0, and the values of x for which 
> use the given graph of y = ′(x) to find the intervals on which  is increasing, the intervals on which  is decreasing, and the x coordinates of the local extrema of ï‚
> use the given graph of y = ′(x) to find the intervals on which  is increasing, the intervals on which  is decreasing, and the x coordinates of the local extrema of ï‚
> involve functions 1-6 and their derivatives, g1-g6. Use the graphs shown in figures (A) and (B) to match each function fi with its derivative gj . 
> Consider the command in Figure A and the associated statistical plot in Figure B. (A) Explain why the command does not simulate 50 repetitions of rolling a pair of dice and recording their sum. (B) Describe an experiment that is simulated by this comma
> involve functions 1-6 and their derivatives, g1-g6. Use the graphs shown in figures (A) and (B) to match each function fi with its derivative gj . 
> involve functions 1-6 and their derivatives, g1-g6. Use the graphs shown in figures (A) and (B) to match each function fi with its derivative gj . 
> (x) is continuous on (-∞, ∞). Use the given information to sketch the graph of .
> (x) is continuous on (-∞, ∞). Use the given information to sketch the graph of .
> (x) is continuous on (-∞, ∞). Use the given information to sketch the graph of .
> (x) is continuous on (-∞, ∞). Use the given information to sketch the graph of .
> use a graphing calculator to approximate the critical numbers of (x) to two decimal places. Find the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the loc
> use a graphing calculator to approximate the critical numbers of (x) to two decimal places. Find the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the loc
> Find the intervals on which (x) is increasing and the intervals on which (x) is decreasing. Then sketch the graph. Add horizontal tangent lines.
> Find the intervals on which (x) is increasing and the intervals on which (x) is decreasing. Then sketch the graph. Add horizontal tangent lines.
> An experiment consists of rolling two fair (not weighted) 4-sided dice and adding the dots on the two sides facing up. Each die is numbered 1–4. Compute the probability of obtaining the indicated sums. An even sum.
> Find the intervals on which (x) is increasing and the intervals on which (x) is decreasing. Then sketch the graph. Add horizontal tangent lines.
> Find the intervals on which (x) is increasing and the intervals on which (x) is decreasing. Then sketch the graph. Add horizontal tangent lines.
> Find the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the local extrema.
> Find the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the local extrema.
> Find the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the local extrema.
> Find the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the local extrema.
> Find the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the local extrema.
> Find the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the local extrema.
> Find the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the local extrema.
> Find the intervals on which (x) is increasing, the intervals on which (x) is decreasing, and the local extrema.
> Solve the equation P (E) /P (E’) = a/b for P (E). If P (E) = c/d, show that odds in favor of E occurring are c to d – c.
> Find (A) ′(x), (B) the partition numbers for ′, and (C) the critical numbers of  .
> Find (A) ′(x), (B) the partition numbers for ′, and (C) the critical numbers of  .
> Find (A) ′(x), (B) the partition numbers for ′, and (C) the critical numbers of  .
> Give the local extrema of f and match the graph of  with one of the sign charts a–h.
> Give the local extrema of f and match the graph of  with one of the sign charts a–h.
> Give the local extrema of f and match the graph of  with one of the sign charts a–h.
> Give the local extrema of f and match the graph of  with one of the sign charts a–h.
> Find the relative rate of change of (x).
> Find the relative rate of change of (x).
> Use the given equation, which expresses price p as a function of demand x, to find a function (p) that expresses demand x as a function of price p. Give the domain of (p).
> An experiment consists of rolling two fair (not weighted) 4-sided dice and adding the dots on the two sides facing up. Each die is numbered 1–4. Compute the probability of obtaining the indicated sums. 7
> Use the given equation, which expresses price p as a function of demand x, to find a function (p) that expresses demand x as a function of price p. Give the domain of (p).
> Use the given equation, which expresses price p as a function of demand x, to find a function (p) that expresses demand x as a function of price p. Give the domain of (p).
> Use the given equation, which expresses price p as a function of demand x, to find a function (p) that expresses demand x as a function of price p. Give the domain of (p).
> A model for the number of aggravated assaults per 1,000 population in the United States (Table 4) is a(t) = 5.9 - 1.1 ln t where t is years since 1990. Find the relative rate of change for assaults in 2025.
> A model for Mexico’s population (Table 3) is (t) = 1.49t + 38.8 where t is years since 1960. Find and graph the percentage rate of change of (t) for 0 ≤ t â‰&curr
> Refer to Problem 87. What price will maximize the revenue from selling fries? Data from Problem 87: The price–demand equation for an order of fries at a fast-food restaurant is x + 1,000p = 2,500 Currently, the price of an order of fries is $0.99. If th
> Refer to Problem 87. If the current price of an order of fries is $1.49, will a 10% price decrease cause revenue to increase or decrease? Data from Problem 87: The price–demand equation for an order of fries at a fast-food restaurant is x + 1,000p = 2,5
> Revenue and elasticity. Refer to Problem 85. If the current price of a hamburger is $4.00, will a 10% price increase cause revenue to increase or decrease? Data from Problem 85: The price–demand equation for hamburgers at a fast-food restaurant is x + 4
> The fast-food restaurant in Problem 83 can produce an order of fries for $0.80. If the restaurant’s daily sales are increasing at the rate of 45 orders of fries per day, how fast is its daily cost for fries increasing?
> Find E(p) for x = (p) = Ae-kp, where A and k are positive constants.
> In a group of n people (n ≤ 100), each person is asked to select a number between 1 and 100, write the number on a slip in a hat. What is the probability that at least 2 of the slips in the hat have the same number written on them?
> use the price–demand equation to find the values of x for which demand is elastic and for which demand is inelastic.
> use the price–demand equation to find the values of x for which demand is elastic and for which demand is inelastic.
> If a price–demand equation is solved for p, then price is expressed as p = g1x2 and x becomes the independent variable. In this case, it can be shown that the elasticity of demand is given by use the price–demand equat