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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![1. Find the equation of the lines tangent and normal to the curve 3x?y?=4x2-4xy at the
point (1.-2).
2. Find the slope of the tangent line to the curve x²+y?=1 at the point )
dy
3. For each problem find
dx
5x3+xy? = 5x³y³
а.
b.
x²y+3xy³-x = 3
y= e*sin2x+x?
с.
d.
y= x?Inx?
Find the absolute maximum and absolute minimum values of f on the given interval
4.
and state where those values occur:f(x)=x³-3x2-9x+25, [-5,10]
www
5.
For f (x) = -x3-3x²+45x-5 find the following:
f(x)
а.
b.
the critical points
the interval(s) where the function is increasing
с.
d.
the interval(s) where the function is decreasing](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff40b42b-b45f-4887-9145-9525b3f9ce37%2F37687224-d256-4e7f-8d14-4871b36b6841%2Ftk24nh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Find the equation of the lines tangent and normal to the curve 3x?y?=4x2-4xy at the
point (1.-2).
2. Find the slope of the tangent line to the curve x²+y?=1 at the point )
dy
3. For each problem find
dx
5x3+xy? = 5x³y³
а.
b.
x²y+3xy³-x = 3
y= e*sin2x+x?
с.
d.
y= x?Inx?
Find the absolute maximum and absolute minimum values of f on the given interval
4.
and state where those values occur:f(x)=x³-3x2-9x+25, [-5,10]
www
5.
For f (x) = -x3-3x²+45x-5 find the following:
f(x)
а.
b.
the critical points
the interval(s) where the function is increasing
с.
d.
the interval(s) where the function is decreasing
Transcribed Image Text:6.
During one study of red squirrels the number in one area was modeled by the
function N(x) = x3 – 11x? + 39x- 47, 1<x< 12 Where x is the number of years since the
study started. During what years was this a decreasing function?
7.
Evaluate the following integrals:
dx
1 Vxa+9
а.
S 5xcos(x?) dx
S sin52xcos2xdx
b.
C.
d.
Sx³e*dx
8.
Find the area enclosed by the curve y=x2-2x and the x axis from x=0 to x=3.
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