Pearson eText Calculus and Its Applications, Brief Edition -- Instant Access (Pearson+)
12th Edition
ISBN: 9780136880257
Author: Marvin Bittinger, David Ellenbogen
Publisher: PEARSON+
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Chapter CR, Problem 25CR
To determine
To find: the equation of the line tangent to the graph of
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ave a
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48. The domain of f
y=f'(x)
x
1
2
(=
x<0
x<0
= f(x)
possible.
Group Activity In Exercises 49 and 50, do the following.
(a) Find the absolute extrema of f and where they occur.
(b) Find any points of inflection.
(c) Sketch a possible graph of f.
49. f is continuous on [0,3] and satisfies the following.
X
0
1
2
3
f
0
2
0
-2
f'
3
0
does not exist
-3
f"
0
-1
does not exist
0
ve
tes where
X
0 < x <1
1< x <2
2
Numerically estimate the value of limx→2+x3−83x−9, rounded correctly to one decimal place.
In the provided table below, you must enter your answers rounded exactly to the correct number of decimals, based on the Numerical Conventions for MATH1044 (see lecture notes 1.3
Actions
page 3). If there are more rows provided in the table than you need, enter NA for those output values in the table that should not be used.
x→2+
x3−83x−9
2.1
2.01
2.001
2.0001
2.00001
2.000001
Find the general solution of the given differential equation.
(1+x)dy/dx - xy = x +x2
Chapter CR Solutions
Pearson eText Calculus and Its Applications, Brief Edition -- Instant Access (Pearson+)
Ch. CR - Prob. 1CRCh. CR - Prob. 2CRCh. CR - Prob. 3CRCh. CR - Prob. 4CRCh. CR - Prob. 5CRCh. CR - Prob. 6CRCh. CR - Prob. 7CRCh. CR - Prob. 8CRCh. CR - Prob. 9CRCh. CR - Prob. 10CR
Ch. CR - Prob. 11CRCh. CR - Prob. 12CRCh. CR - Prob. 13CRCh. CR - Prob. 14CRCh. CR - Prob. 15CRCh. CR - Prob. 16CRCh. CR - Prob. 17CRCh. CR - Prob. 18CRCh. CR - Prob. 19CRCh. CR - Prob. 20CRCh. CR - Prob. 21CRCh. CR - Prob. 22CRCh. CR - Prob. 23CRCh. CR - Prob. 24CRCh. CR - Prob. 25CRCh. CR - Prob. 26CRCh. CR - Prob. 27CRCh. CR - Prob. 28CRCh. CR - Prob. 29CRCh. CR - Prob. 30CRCh. CR - Prob. 31CRCh. CR - Prob. 32CRCh. CR - Prob. 33CRCh. CR - Prob. 34CRCh. CR - Prob. 35CRCh. CR - Prob. 36CRCh. CR - Prob. 37CRCh. CR - Prob. 40CRCh. CR - Prob. 41CRCh. CR - Prob. 42CRCh. CR - Prob. 43CRCh. CR - Prob. 44CRCh. CR - Prob. 45CRCh. CR - Prob. 46CRCh. CR - Prob. 47CRCh. CR - Prob. 48CRCh. CR - Prob. 49CRCh. CR - Prob. 50CRCh. CR - Prob. 52CRCh. CR - Prob. 54CRCh. CR - Prob. 55CRCh. CR - Prob. 56CRCh. CR - Prob. 57CRCh. CR - Prob. 58CRCh. CR - Prob. 59CRCh. CR - Prob. 61CRCh. CR - Prob. 62CRCh. CR - Prob. 63CRCh. CR - Suppose the rate of change of y with respect to x...Ch. CR - Prob. 65CRCh. CR - Prob. 66CRCh. CR - Prob. 67CRCh. CR - Prob. 68CRCh. CR - Prob. 69CRCh. CR - Prob. 70CRCh. CR - Prob. 71CRCh. CR - Prob. 72CR
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- 2. Consider the vector force: F(x, y, z) = 2xye²i + (x²e² + y)j + (x²ye² — z)k. (A) [80%] Show that F satisfies the conditions for a conservative vector field, and find a potential function (x, y, z) for F. Remark: To find o, you must use the method explained in the lecture. (B) [20%] Use the Fundamental Theorem for Line Integrals to compute the work done by F on an object moves along any path from (0,1,2) to (2, 1, -8).arrow_forwardhelp pleasearrow_forwardIn each of Problems 1 through 4, draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y as t → ∞. If this behavior depends on the initial value of y at t = 0, describe the dependency.1. y′ = 3 − 2yarrow_forward
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