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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Please help with question 15-18
![is
ax
x> e
differentiable at e.
15. Let f: (0, 7/2) → (1, 00), f (x) = sec x. Prove that f is one-to-one and onto and find
a formula for (f-1)'(y).
16. Prove that f(x)= x² sin
1
is uniformly continuous on (0, 1/n].
%3D
17. Consider the partition P =
{1,2, 3, ..., n} and f : [1,n] → R, f(x) = In z. Compute
U(f, P) and If, P).
12
22
1
18. Let rn =
n2
32
+,
n+3
n2
+ ... +
Prove that In is a Riemann
n+1
n+2
n+n
sum for f: [0, 1] → R, ƒ(x) =
1+x
16,347
331
APR
9.
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МacВook Air
吕0
888
DII
DD
F8
F9
F10
F3
F4
F5
F6
F7
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Transcribed Image Text:is
ax
x> e
differentiable at e.
15. Let f: (0, 7/2) → (1, 00), f (x) = sec x. Prove that f is one-to-one and onto and find
a formula for (f-1)'(y).
16. Prove that f(x)= x² sin
1
is uniformly continuous on (0, 1/n].
%3D
17. Consider the partition P =
{1,2, 3, ..., n} and f : [1,n] → R, f(x) = In z. Compute
U(f, P) and If, P).
12
22
1
18. Let rn =
n2
32
+,
n+3
n2
+ ... +
Prove that In is a Riemann
n+1
n+2
n+n
sum for f: [0, 1] → R, ƒ(x) =
1+x
16,347
331
APR
9.
étv
МacВook Air
吕0
888
DII
DD
F8
F9
F10
F3
F4
F5
F6
F7
%23
&
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