> 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‚
> 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.
> 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
> 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
> use the demand equation to find the revenue function. Sketch the graph of the revenue function, and indicate the regions of inelastic and elastic demand on the graph.
> use the demand equation to find the revenue function. Sketch the graph of the revenue function, and indicate the regions of inelastic and elastic demand on the graph.
> use the demand equation to find the revenue function. Sketch the graph of the revenue function, and indicate the regions of inelastic and elastic demand on the graph.
> Use the price–demand equation to find the values of p for which demand is elastic and the values for which demand is inelastic. Assume that price and demand are both positive.
> Use the price–demand equation to find the values of p for which demand is elastic and the values for which demand is inelastic. Assume that price and demand are both positive.
> Use the price–demand equation to find the values of p for which demand is elastic and the values for which demand is inelastic. Assume that price and demand are both positive.
> 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. 5
> Use the price–demand equation to find the values of p for which demand is elastic and the values for which demand is inelastic. Assume that price and demand are both positive.
> use the price–demand equation p + 0.004x = 32, 0 ≤ p ≤ 32. If p = $21 and the price is decreased, will revenue increase or decrease?
> use the price–demand equation p + 0.004x = 32, 0 ≤ p ≤ 32. Find all values of p for which demand is inelastic.
> use the price–demand equation p + 0.004x = 32, 0 ≤ p ≤ 32. Find the elasticity of demand when p = $16. If the $16 price is increased by 9%, what is the approximate percentage change in demand?
> use the price–demand equation p + 0.004x = 32, 0 ≤ p ≤ 32. Find the elasticity of demand when p = $28. If the $28 price is decreased by 6%, what is the approximate percentage change in demand?
> use the price–demand equation to determine whether demand is elastic, is inelastic, or has unit elasticity at the indicated values of p.
> use the price–demand equation to determine whether demand is elastic, is inelastic, or has unit elasticity at the indicated values of p.
> Find the logarithmic derivative.
> Find the logarithmic derivative.
> Find the logarithmic derivative.
>
> Find the logarithmic derivative.
> use the price–demand equation to find E(p), the elasticity of demand.
> use the price–demand equation to find E(p), the elasticity of demand.
> use the price–demand equation to find E(p), the elasticity of demand.
> Find the percentage rate of change of (x) at the indicated value of x. Round to the nearest tenth of a percent.
> Find the percentage rate of change of (x) at the indicated value of x. Round to the nearest tenth of a percent.
> Find the percentage rate of change of (x) at the indicated value of x. Round to the nearest tenth of a percent.
> Find the percentage rate of change of (x) at the indicated value of x. Round to the nearest tenth of a percent.
> Find the relative rate of change of (x) at the indicated value of x. Round to three decimal places.
> Find the relative rate of change of (x) at the indicated value of x. Round to three decimal places.
> 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. 3
> Find the relative rate of change of (x) at the indicated value of x. Round to three decimal places.