Problem 1E: Write an equation of the line with slope 4 and containing the point (7,1). Problem 2E Problem 3E: For f(x)=x25, find f(x+h). x2+2xh+h25 Problem 4E: 4. a. Graph:
b. Find.
c. Find.
d. Is f continuous at 2?
Problem 5E Problem 6E: Find each limit, if it exists. If a limit does not exist, state that fact. limx1x3+8 Problem 7E: Find each limit, if it exists. If a limit does not exist, state that fact. limx4x216x+4 Problem 8E: Find each limit, if it exists. If a limit does not exist, state that fact. limx34x3 Problem 9E: Find each limit, if it exists. If a limit does not exist, state that fact. limx12x73x+2 Problem 10E: Find each limit, if it exists. If a limit does not exist, state that fact.
10.
Problem 11E: Find each limit, if it exists. If a limit does not exist, state that fact. If f(x)=x2+3, find f(x)... Problem 12E: For Exercises 12-14, refer to the following graph of y=h(x). Identify the input values for which h... Problem 13E: For Exercises 12-14, refer to the following graph of y=h(x). Identify the input values for which h... Problem 14E: For Exercises 12-14, refer to the following graph of y=h(x). Identify the input values for which the... Problem 15E: Differentiate. y=9x+3 Problem 16E: Differentiate. y=x27x+3 Problem 17E: Differentiate. y=x1/4 Problem 18E: Differentiate. f(x)=x6 Problem 19E Problem 20E: Differentiate.
22.
Problem 21E Problem 22E: Differentiate. y=elnx Problem 23E Problem 24E: Differentiate.
24.
Problem 25E: Differentiate.
25.
Problem 26E: 26. For find.
Problem 27E: Business: average cost. Doubletake Clothing finds that the cost, in dollars, of producing x pairs of... Problem 28E:
28. Differentiate implicitly to find if .
Problem 29E: Find an equation of the tangent line to the graph of y=exx23 at the point (0,2). Problem 30E: 30. Find the x-value(s) at which the tangent line to has a slope of –1.
Problem 31E: Sketch the graph of each function. List the label the coordinates of any extrema and points of... Problem 32E Problem 33E: Sketch the graph of each function. List the label the coordinates of any extrema and points of... Problem 34E Problem 35E: Find the absolute maximum and minimum values, if they exist, over the indicated. If no interval is... Problem 36E Problem 37E Problem 38E Problem 39E: 39. Business: minimizing inventory costs. An electronics store sells 450 sets of earbuds each year.... Problem 40E Problem 41E: Business: exponential growth. Friedas Frozen Yogurt is experiencing growth of 10% per year in the... Problem 42E Problem 43E: 43. Business: approximating cost average. A square plot of ground measures 75 ft by 75 ft, with a... Problem 44E Problem 46E Problem 47E Problem 48E: Evaluate.
48. (Use Table 1 on pp. 431-432)
Problem 49E Problem 50E: Evaluate. (x+3)lnxdx Problem 51E Problem 52E Problem 53E: 53. Find the area under the graph of over the interval.
Problem 54E: Business: present value. Find the present value of $250,000 due in 30 yr at 6%, compounded... Problem 55E Problem 56E: Evaluate.
56. Business: contract buyout. An athlete has an 8-yr contract that pays her $200,000 per... Problem 57E Problem 58E: 58. Economic: supply and demand. Demand and supply functions are given by
and
where p is the... Problem 59E: 59. Find the volume of the solid of revolution generated by rotating the region under the graph of ,... Problem 60E: 60. Find the volume of the solid of revolution generated by rotating the region under the graph of ... Problem 61E: Consider the data in the following table. Age of Business (in years) 1 3 5 Profit (in tens of... Problem 62E Problem 63E: Given find each of the following.
63.
Problem 64E Problem 65E: 65. Maximize subject to the constraint.
Problem 66E: 66. Evaluate
.
Problem 67E Problem 68E: Solve the differential equation dy/dx=xy. Problem 69E: Solve the differential equation y+4xy=3x, where y=3 when x=1. Problem 70E Problem 71E Problem 72E: Business: distribution of weights. The weight, in pounds, of a box of a certain cereal is uniformly... Problem 73E: Business: wait times. The wait time t in minutes, between customers at Teris Book Nook can be... Problem 74E Problem 75E: 75. Business: distribution of salaries. The salaries paid by a large corporation are normally... format_list_bulleted