39. Find the value of a so that the function f(x)= xe" h = Te has a critical point at x = 3.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
Problem 14E: Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and...
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How do I solve number 39?
(c) What natural causes could lead to the shape of the
rapidly. How large was the population at that time?
2 + a.r + b has a local minimum at the point (6,-5).
actual graph of f (1) using a calculator or computer. E
Problems 43-44 show graphs of the three functions f. f'.
38. Find values of a and b so that the function f) =
with t me
Cook left 10 rabbits
grew mos
lues are
at
of f for
I maxi-
graph of P?
10
39. Find the value of a so that the function f(x) = T92,
a critical point at x = 3.
ntiable
eritical 40. Find constants a and b in the function f(x) = arde
Tassify
such that f()
1 and the function has a local maxi-
mini-
mum at x = :
41. Graph f(x)
creasing most rapidly and least rapidly.
ontin-
= x + sin x, and determine where f is in-
imate
42. You might think the graph of f(x)= x² + COS I Shou
%3D
1ook like a parabola with some waves on it. Sketch
actual graph of f(x) using a calculator or
plain what you see using f"(x).
10
-1
E
computer.
1 vol-
Identify which is which.
etch a
on the
Transcribed Image Text:(c) What natural causes could lead to the shape of the rapidly. How large was the population at that time? 2 + a.r + b has a local minimum at the point (6,-5). actual graph of f (1) using a calculator or computer. E Problems 43-44 show graphs of the three functions f. f'. 38. Find values of a and b so that the function f) = with t me Cook left 10 rabbits grew mos lues are at of f for I maxi- graph of P? 10 39. Find the value of a so that the function f(x) = T92, a critical point at x = 3. ntiable eritical 40. Find constants a and b in the function f(x) = arde Tassify such that f() 1 and the function has a local maxi- mini- mum at x = : 41. Graph f(x) creasing most rapidly and least rapidly. ontin- = x + sin x, and determine where f is in- imate 42. You might think the graph of f(x)= x² + COS I Shou %3D 1ook like a parabola with some waves on it. Sketch actual graph of f(x) using a calculator or plain what you see using f"(x). 10 -1 E computer. 1 vol- Identify which is which. etch a on the
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