Finite Mathematics and Applied Calculus (MindTap Course List)
7th Edition
ISBN: 9781337274203
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Textbook Question
Chapter 11.4, Problem 68E
In Exercises 67-74, find the indicated derivative. In each case the independent variable is a (unspecified)
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3.1 Limits
1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice.
x+3°
x+3*
x+3
(a) Is 5
(c) Does not exist
(b) is 6
(d) is infinite
1 pts
Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and
G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is
Question 1
-0.246
0.072
-0.934
0.478
-0.914
-0.855
0.710
0.262
.
2. Answer the following questions.
(A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity
Vx (VF) V(V •F) - V²F
(B) [50%] Remark. You are confined to use the differential identities.
Let u and v be scalar fields, and F be a vector field given by
F = (Vu) x (Vv)
(i) Show that F is solenoidal (or incompressible).
(ii) Show that
G =
(uvv – vVu)
is a vector potential for F.
Chapter 11 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - Prob. 4ECh. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...Ch. 11.1 - In Exercises 1-10, use the shortcut rules to...
Ch. 11.1 - Prob. 11ECh. 11.1 - In Exercises 11-16, obtain the derivative dy/dt...Ch. 11.1 - In Exercises 11-16, obtain the derivative dy/dt...Ch. 11.1 - In Exercises 11-16, obtain the derivative dy/dt...Ch. 11.1 - In Exercises 11-16, obtain the derivative dy/dt...Ch. 11.1 - Prob. 16ECh. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - Prob. 32ECh. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - Prob. 34ECh. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 17-40, find the derivative of the...Ch. 11.1 - In Exercises 41-46, evaluate the given expression....Ch. 11.1 - In Exercises 41-46, evaluate the given expression....Ch. 11.1 - In Exercises 41-46, evaluate the given expression....Ch. 11.1 - In Exercises 41-46, evaluate the given expression....Ch. 11.1 - In Exercises 41-46, evaluate the given expression....Ch. 11.1 - In Exercises 41-46, evaluate the given expression....Ch. 11.1 - In Exercises 47-52, find the indicated derivative....Ch. 11.1 - In Exercises 47-52, find the indicated derivative....Ch. 11.1 - In Exercises 47-52, find the indicated derivative....Ch. 11.1 - In Exercises 47-52, find the indicated derivative....Ch. 11.1 - In Exercises 47-52, find the indicated derivative....Ch. 11.1 - In Exercises 47-52, find the indicated derivative....Ch. 11.1 - In Exercises 5358, find the slope of the tangent...Ch. 11.1 - In Exercises 5358, find the slope of the tangent...Ch. 11.1 - In Exercises 5358, find the slope of the tangent...Ch. 11.1 - In Exercises 5358, find the slope of the tangent...Ch. 11.1 - In Exercises 5358, find the slope of the tangent...Ch. 11.1 - In Exercises 5358, find the slope of the tangent...Ch. 11.1 - In Exercises 5964, find the equation of the...Ch. 11.1 - In Exercises 5964, find the equation of the...Ch. 11.1 - In Exercises 5964, find the equation of the...Ch. 11.1 - In Exercises 5964, find the equation of the...Ch. 11.1 - In Exercises 5964, find the equation of the...Ch. 11.1 - Prob. 64ECh. 11.1 - In Exercises 6570, find all values of x (if any)...Ch. 11.1 - In Exercises 6570, find all values of x (if any)...Ch. 11.1 - Prob. 67ECh. 11.1 - Prob. 68ECh. 11.1 - Prob. 69ECh. 11.1 - Prob. 70ECh. 11.1 - Prob. 71ECh. 11.1 - Prob. 72ECh. 11.1 - If Exercises 73-76, determine whether f is...Ch. 11.1 - Prob. 74ECh. 11.1 - Prob. 75ECh. 11.1 - Prob. 76ECh. 11.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 11.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 11.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 11.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 11.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 11.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 11.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 11.1 - Prob. 84ECh. 11.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 11.1 - Prob. 86ECh. 11.1 - Prob. 87ECh. 11.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 11.1 - Crude Oil Prices The price per barrel of crude oil...Ch. 11.1 - Median Home Price The median home price in the...Ch. 11.1 - Prob. 91ECh. 11.1 - Food versus Recreation The following equation...Ch. 11.1 - Velocity If a stone is dropped from a height of...Ch. 11.1 - Prob. 94ECh. 11.1 - Velocity The height of a soccer ball kicked by...Ch. 11.1 - Prob. 96ECh. 11.1 - GE Net Income 2009-2013 The annual net income of...Ch. 11.1 - GE Net Income 20072011 The annual net income of...Ch. 11.1 - Prob. 99ECh. 11.1 - SAT Scores by Income The following graph shown...Ch. 11.1 - Prob. 101ECh. 11.1 - Prob. 102ECh. 11.1 - Prob. 103ECh. 11.1 - Prob. 104ECh. 11.1 - Prob. 105ECh. 11.1 - Prob. 106ECh. 11.1 - Prob. 107ECh. 11.1 - Prob. 108ECh. 11.1 - Following is an excerpt from your best friends...Ch. 11.1 - Prob. 110ECh. 11.1 - Prob. 111ECh. 11.1 - Following is an excerpt from your second best...Ch. 11.1 - Following is an excerpt from your second best...Ch. 11.1 - Following is an excerpt from your second enemys...Ch. 11.1 - One of the questions in your last calculus test...Ch. 11.1 - Prob. 116ECh. 11.1 - Prob. 117ECh. 11.1 - Prob. 118ECh. 11.2 - Prob. 1ECh. 11.2 - In Exercises 14, for each cost function, find the...Ch. 11.2 - In Exercises 14, for each cost function, find the...Ch. 11.2 - Prob. 4ECh. 11.2 - In Exercises 5 and 6, find the marginal cost,...Ch. 11.2 - In Exercises 5 and 6, find the marginal cost,...Ch. 11.2 - A certain cost function has the following graph:...Ch. 11.2 - A certain cost function has the following graph:...Ch. 11.2 - Advertising Costs The cost, in thousands of...Ch. 11.2 - Prob. 10ECh. 11.2 - Prob. 11ECh. 11.2 - Marginal and Average Cost: PlayStation 4s Assume...Ch. 11.2 - Prob. 13ECh. 11.2 - Marginal Revenue and Profit The Audubon Society at...Ch. 11.2 - Marginal Profit Suppose P(x) represents the profit...Ch. 11.2 - Marginal Loss An automobile retailer calculates...Ch. 11.2 - Marginal Profit Your monthly profit (in dollars)...Ch. 11.2 - Marginal Profit Your monthly profit (in dollars)...Ch. 11.2 - Marginal Revenue: Pricing Tuna Assume that the...Ch. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Advertising Cost Your company is planning to air a...Ch. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Taxation Schemes To raise revenues during the...Ch. 11.2 - Prob. 29ECh. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Prob. 33ECh. 11.2 - Prob. 34ECh. 11.2 - Prob. 35ECh. 11.2 - For the cost function C(x)=mx+b themarginal cost...Ch. 11.2 - Prob. 37ECh. 11.2 - Prob. 38ECh. 11.2 - Prob. 39ECh. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - Prob. 42ECh. 11.2 - Prob. 43ECh. 11.2 - Prob. 44ECh. 11.2 - Prob. 45ECh. 11.2 - Prob. 46ECh. 11.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 11.3 - Prob. 2ECh. 11.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 11.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 11.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 11.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 11.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Prob. 10ECh. 11.3 - Prob. 11ECh. 11.3 - Prob. 12ECh. 11.3 - Prob. 13ECh. 11.3 - Prob. 14ECh. 11.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 11.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 11.3 - Prob. 17ECh. 11.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 11.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 11.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 11.3 - Prob. 21ECh. 11.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 11.3 - Prob. 23ECh. 11.3 - Prob. 24ECh. 11.3 - Prob. 25ECh. 11.3 - Prob. 26ECh. 11.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - Prob. 43ECh. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - Prob. 45ECh. 11.3 - Prob. 46ECh. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - Prob. 50ECh. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - Prob. 52ECh. 11.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 11.3 - Prob. 54ECh. 11.3 - Prob. 55ECh. 11.3 - Prob. 56ECh. 11.3 - Prob. 57ECh. 11.3 - In Exercises 57-62, compute the indicated...Ch. 11.3 - In Exercises 57-62, compute the indicated...Ch. 11.3 - Prob. 60ECh. 11.3 - Prob. 61ECh. 11.3 - Prob. 62ECh. 11.3 - Prob. 63ECh. 11.3 - Prob. 64ECh. 11.3 - Prob. 65ECh. 11.3 - Prob. 66ECh. 11.3 - Prob. 67ECh. 11.3 - Prob. 68ECh. 11.3 - Prob. 69ECh. 11.3 - Prob. 70ECh. 11.3 - Prob. 71ECh. 11.3 - In Exercises 71-76, find the equation of the line...Ch. 11.3 - Prob. 73ECh. 11.3 - Prob. 74ECh. 11.3 - Prob. 75ECh. 11.3 - Prob. 76ECh. 11.3 - Revenue The monthly sales of Sunny Electronics new...Ch. 11.3 - Revenue The monthly sales of Sunny Electronics new...Ch. 11.3 - Saudi Oil Revenues The price of crude oil during...Ch. 11.3 - Russian Oil Revenues The price of crude oil during...Ch. 11.3 - Revenue Dorothy Wagner is currently selling 20 I ...Ch. 11.3 - Prob. 82ECh. 11.3 - Prob. 83ECh. 11.3 - Prob. 84ECh. 11.3 - Fuel Economy Your muscle cars gas mileage (in...Ch. 11.3 - Prob. 86ECh. 11.3 - Prob. 87ECh. 11.3 - Oil Imports from Mexico Daily oil production in...Ch. 11.3 - Prob. 89ECh. 11.3 - Prob. 90ECh. 11.3 - Prob. 91ECh. 11.3 - Biology-Reproduction Another model, the predator...Ch. 11.3 - Embryo Development Bird embryos consume oxygen...Ch. 11.3 - Embryo Developmen Turkey embryos consume oxy- gen...Ch. 11.3 - Prob. 95ECh. 11.3 - Prob. 96ECh. 11.3 - Prob. 97ECh. 11.3 - Prob. 98ECh. 11.3 - Prob. 99ECh. 11.3 - Prob. 100ECh. 11.3 - Prob. 101ECh. 11.3 - Prob. 102ECh. 11.3 - Prob. 103ECh. 11.3 - Prob. 104ECh. 11.3 - Prob. 105ECh. 11.3 - Prob. 106ECh. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - Prob. 3ECh. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - Prob. 5ECh. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - Prob. 11ECh. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - Prob. 13ECh. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - Prob. 44ECh. 11.4 - Prob. 45ECh. 11.4 - Prob. 46ECh. 11.4 - Prob. 47ECh. 11.4 - Prob. 48ECh. 11.4 - In Exercises 1-50, calculate the derivate of the...Ch. 11.4 - Prob. 50ECh. 11.4 - In Exercises 51-66, compute the indicated...Ch. 11.4 - In Exercises 51-66, compute the indicated...Ch. 11.4 - In Exercises 51-66, compute the indicated...Ch. 11.4 - Prob. 54ECh. 11.4 - In Exercises 51-66, compute the indicated...Ch. 11.4 - Prob. 56ECh. 11.4 - Prob. 57ECh. 11.4 - In Exercises 51-66, compute the indicated...Ch. 11.4 - Prob. 59ECh. 11.4 - Prob. 60ECh. 11.4 - In Exercises 51-66, compute the indicated...Ch. 11.4 - Prob. 62ECh. 11.4 - In Exercises 51-66, compute the indicated...Ch. 11.4 - Prob. 64ECh. 11.4 - Prob. 65ECh. 11.4 - Prob. 66ECh. 11.4 - In Exercises 67-74, find the indicated derivative....Ch. 11.4 - In Exercises 67-74, find the indicated derivative....Ch. 11.4 - In Exercises 67-74, find the indicated derivative....Ch. 11.4 - Prob. 70ECh. 11.4 - In Exercises 67-74, find the indicated derivative....Ch. 11.4 - Prob. 72ECh. 11.4 - In Exercises 67-74, find the indicated derivative....Ch. 11.4 - Prob. 74ECh. 11.4 - Crude Oil Prices The price per barrel of crude oil...Ch. 11.4 - Median Home Prices The median home price in the...Ch. 11.4 - Marginal Profit Your monthly profit (in dollars)...Ch. 11.4 - Prob. 78ECh. 11.4 - Prob. 79ECh. 11.4 - Prob. 80ECh. 11.4 - Marginal Profit Paramount Electronics has an...Ch. 11.4 - Marginal Profit Refer back to Exercise 81. The...Ch. 11.4 - Prob. 83ECh. 11.4 - Prob. 84ECh. 11.4 - Marginal Revenue The weekly revenue from the sale...Ch. 11.4 - Marginal Revenue The weekly revenue from the sale...Ch. 11.4 - Prob. 87ECh. 11.4 - Prob. 88ECh. 11.4 - Existing Home Sales The following graph shows the...Ch. 11.4 - Existing Home Sales Leading to the Financial...Ch. 11.4 - Prob. 91ECh. 11.4 - Prob. 92ECh. 11.4 - Prob. 93ECh. 11.4 - Prob. 94ECh. 11.4 - Revenue Growth The demand for the Cyberpunk II...Ch. 11.4 - Prob. 96ECh. 11.4 - Money Stock Exercises 97100 are based on the...Ch. 11.4 - Prob. 98ECh. 11.4 - Prob. 99ECh. 11.4 - Prob. 100ECh. 11.4 - Prob. 101ECh. 11.4 - Prob. 102ECh. 11.4 - Say why the following was marked wrong, and give...Ch. 11.4 - Say why the following was marked wrong, and give...Ch. 11.4 - Prob. 105ECh. 11.4 - Name two major errors in the following graded test...Ch. 11.4 - Prob. 107ECh. 11.4 - Prob. 108ECh. 11.4 - Prob. 109ECh. 11.4 - Prob. 110ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 6ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 24ECh. 11.5 - Prob. 25ECh. 11.5 - Prob. 26ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 28ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 30ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 32ECh. 11.5 - Prob. 33ECh. 11.5 - Prob. 34ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 36ECh. 11.5 - Prob. 37ECh. 11.5 - Prob. 38ECh. 11.5 - Prob. 39ECh. 11.5 - Prob. 40ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 42ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 45ECh. 11.5 - Prob. 46ECh. 11.5 - Prob. 47ECh. 11.5 - Prob. 48ECh. 11.5 - Prob. 49ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 51ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 54ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 56ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 58ECh. 11.5 - Prob. 59ECh. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - In Exercises 1-66, find the derivative of the...Ch. 11.5 - Prob. 62ECh. 11.5 - Prob. 63ECh. 11.5 - Prob. 64ECh. 11.5 - Prob. 65ECh. 11.5 - Prob. 66ECh. 11.5 - In Exercises 67-72, find the equation of the...Ch. 11.5 - In Exercises 67-72, find the equation of the...Ch. 11.5 - Prob. 69ECh. 11.5 - Prob. 70ECh. 11.5 - In Exercises 67-72, find the equation of the...Ch. 11.5 - Prob. 72ECh. 11.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 11.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 11.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 11.5 - Prob. 76ECh. 11.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 11.5 - Prob. 78ECh. 11.5 - Research and Development: Industry The total spent...Ch. 11.5 - Research and Development: Federal The total spent...Ch. 11.5 - Research and Development: Industry (Refer to...Ch. 11.5 - Prob. 82ECh. 11.5 - Carbon Dating The age in years of a specimen that...Ch. 11.5 - Prob. 84ECh. 11.5 - Prob. 85ECh. 11.5 - New York City Housing Costs: Uptown The average...Ch. 11.5 - Prob. 87ECh. 11.5 - Big Brother The following chart shows the total...Ch. 11.5 - Investments If $10,000 is invested in a savings...Ch. 11.5 - Prob. 90ECh. 11.5 - Investments If $10,000 is invested in a savings...Ch. 11.5 - Investments If $20,000 is invested in a savings...Ch. 11.5 - Prob. 93ECh. 11.5 - The 2003 SARS Outbreak A few weeks into the deadly...Ch. 11.5 - Prob. 95ECh. 11.5 - Prob. 96ECh. 11.5 - SAT Scores by Income The following bar graph shows...Ch. 11.5 - Prob. 98ECh. 11.5 - Prob. 99ECh. 11.5 - Prob. 100ECh. 11.5 - Prob. 101ECh. 11.5 - Epidemics Another epidemic follows the curve...Ch. 11.5 - Prob. 103ECh. 11.5 - Prob. 104ECh. 11.5 - Prob. 105ECh. 11.5 - Subprime Mortgage Debt during the Housing Bubble...Ch. 11.5 - Prob. 107ECh. 11.5 - Prob. 108ECh. 11.5 - Radioactive Decay Plutonium 239 has a half-life of...Ch. 11.5 - Prob. 110ECh. 11.5 - Prob. 111ECh. 11.5 - Prob. 112ECh. 11.5 - Complete the following: The derivative of e raised...Ch. 11.5 - Prob. 114ECh. 11.5 - Prob. 115ECh. 11.5 - Prob. 116ECh. 11.5 - What is wrong with the following?...Ch. 11.5 - Prob. 118ECh. 11.5 - What is wrong with the following? ddx32x=(2x)32x1...Ch. 11.5 - Prob. 120ECh. 11.5 - Prob. 121ECh. 11.5 - Prob. 122ECh. 11.5 - Prob. 123ECh. 11.5 - Prob. 124ECh. 11.5 - Prob. 125ECh. 11.5 - Prob. 126ECh. 11.6 - In Exercises 110, find dy/dx, using implicit...Ch. 11.6 - Prob. 2ECh. 11.6 - In Exercises 110, find dy/dx, using implicit...Ch. 11.6 - Prob. 4ECh. 11.6 - Prob. 5ECh. 11.6 - Prob. 6ECh. 11.6 - In Exercises 110, find dy/dx, using implicit...Ch. 11.6 - In Exercises 110, find dy/dx, using implicit...Ch. 11.6 - Prob. 9ECh. 11.6 - Prob. 10ECh. 11.6 - In Exercises 11-30, find the indicated derivative...Ch. 11.6 - Prob. 12ECh. 11.6 - Prob. 13ECh. 11.6 - Prob. 14ECh. 11.6 - In Exercises 11-30, find the indicated derivative...Ch. 11.6 - Prob. 16ECh. 11.6 - Prob. 17ECh. 11.6 - Prob. 18ECh. 11.6 - In Exercises 11-30, find the indicated derivative...Ch. 11.6 - Prob. 20ECh. 11.6 - In Exercises 11-30, find the indicated derivative...Ch. 11.6 - Prob. 22ECh. 11.6 - Prob. 23ECh. 11.6 - In Exercises 11-30, find the indicated derivative...Ch. 11.6 - Prob. 25ECh. 11.6 - Prob. 26ECh. 11.6 - Prob. 27ECh. 11.6 - Prob. 28ECh. 11.6 - In Exercises 11-30, find the indicated derivative...Ch. 11.6 - Prob. 30ECh. 11.6 - Prob. 31ECh. 11.6 - Prob. 32ECh. 11.6 - Prob. 33ECh. 11.6 - In Exercises 3142, use implicit differentiation to...Ch. 11.6 - In Exercises 3142, use implicit differentiation to...Ch. 11.6 - Prob. 36ECh. 11.6 - Prob. 37ECh. 11.6 - Prob. 38ECh. 11.6 - In Exercises 3142, use implicit differentiation to...Ch. 11.6 - Prob. 40ECh. 11.6 - In Exercises 3142, use implicit differentiation to...Ch. 11.6 - Prob. 42ECh. 11.6 - Prob. 43ECh. 11.6 - Prob. 44ECh. 11.6 - In Exercises 43-52, use logarithmic...Ch. 11.6 - Prob. 46ECh. 11.6 - In Exercises 43-52, use logarithmic...Ch. 11.6 - Prob. 48ECh. 11.6 - In Exercises 43-52, use logarithmic...Ch. 11.6 - Prob. 50ECh. 11.6 - In Exercises 43-52, use logarithmic...Ch. 11.6 - Prob. 52ECh. 11.6 - Productivity The number of CDs per hour that...Ch. 11.6 - Prob. 54ECh. 11.6 - Demand The demand equation for soccer tournament...Ch. 11.6 - Prob. 56ECh. 11.6 - Prob. 57ECh. 11.6 - Employment An employment research company...Ch. 11.6 - Grades62 A productivity formula for a students...Ch. 11.6 - Prob. 60ECh. 11.6 - Prob. 61ECh. 11.6 - Prob. 62ECh. 11.6 - Fill in the missing terms: The equation x=y3+y3...Ch. 11.6 - Prob. 64ECh. 11.6 - Use logarithmic differentiation to give another...Ch. 11.6 - Prob. 66ECh. 11.6 - Prob. 67ECh. 11.6 - Prob. 68ECh. 11.6 - Prob. 69ECh. 11.6 - Prob. 70ECh. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - Prob. 6RECh. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - Prob. 11RECh. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - Prob. 13RECh. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - Prob. 15RECh. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - Prob. 18RECh. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - Prob. 20RECh. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - Prob. 30RECh. 11 - In Exercises 1-32, find the derivative of the...Ch. 11 - Prob. 32RECh. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - In Exercises 33-40, find all values of x (if any)...Ch. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - Prob. 42RECh. 11 - In Exercises 41-46, find dy/dx for the given...Ch. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - In Exercises 47-52, find the equation of the...Ch. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - In Exercises 53-56, find the limit: limx0x2ex21Ch. 11 - Prob. 56RECh. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Cost OHaganBooks.com has been experiencing a run...Ch. 11 - Revenue At the moment, OHaganBooks.com is selling...Ch. 11 - Prob. 62RECh. 11 - Prob. 63RECh. 11 - Prob. 64RECh. 11 - Prob. 65RECh. 11 - Prob. 66RECh. 11 - Prob. 67RECh. 11 - Prob. 68RECh. 11 - Website Activity The number of hits on...Ch. 11 - Prob. 70RECh. 11 - Prob. 71RECh. 11 - Prob. 72RECh. 11 - Prob. 3CS
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- Question 2 Let F be a solenoidal vector field, suppose V × F = (-8xy + 12z², −9x² + 4y² + 9z², 6y²), and let (P,Q,R) = V²F(.725, —.283, 1.73). Then the value of sin(2P) + sin(3Q) + sin(4R) is -2.024 1.391 0.186 -0.994 -2.053 -0.647 -0.588 -1.851 1 ptsarrow_forward1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is Question 1 -0.246 0.072 -0.934 0.478 -0.914 -0.855 0.710 0.262 .arrow_forwardanswerarrow_forward
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