14.Use a substitution to evaluate / aVx+1 dx rVa+1 dx. Show all details of the process.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem #14 look at the picture
11. Find an equation of the line that is tangent to the curve y cos(2r) at the
point where r Write the equation in slope-intercept form.
%3D
* 12. Find the linearization for f(r)
1
near a=
10, and use it to approximate
12
13.A Suppose f is a function whose first derivative is f'(x) = 1(x+1)(z-1)2(z-2).
Sketch a sign chart for f'(r) and use it to identify the r-coordinates of all local maxima
and of all local minima.
14.(Use a substitution to evaluate
xVx +1 dx. Show all details of the process.
3z cos(r), dzr.
* 15. (G Use an appropriate substitution to evaluate the definite integral
Show all details of the substitution process.
sin t
dt.
* 16.(PUse FTC Part I to find g'(x) if g(x) =
* 17.(Find all points where the curves y = 3x and y = r² – x intersect, by solving an
appropriate equation. Then find the area of the region bounded by the two curves.
Set up an integral for the volume obtained when the region bounded by curves
y = r and y= x is revolved about the x-axis. You don't need to evaluate the integral.
18.
Transcribed Image Text:11. Find an equation of the line that is tangent to the curve y cos(2r) at the point where r Write the equation in slope-intercept form. %3D * 12. Find the linearization for f(r) 1 near a= 10, and use it to approximate 12 13.A Suppose f is a function whose first derivative is f'(x) = 1(x+1)(z-1)2(z-2). Sketch a sign chart for f'(r) and use it to identify the r-coordinates of all local maxima and of all local minima. 14.(Use a substitution to evaluate xVx +1 dx. Show all details of the process. 3z cos(r), dzr. * 15. (G Use an appropriate substitution to evaluate the definite integral Show all details of the substitution process. sin t dt. * 16.(PUse FTC Part I to find g'(x) if g(x) = * 17.(Find all points where the curves y = 3x and y = r² – x intersect, by solving an appropriate equation. Then find the area of the region bounded by the two curves. Set up an integral for the volume obtained when the region bounded by curves y = r and y= x is revolved about the x-axis. You don't need to evaluate the integral. 18.
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