2.1 Given that sinh x = [e" – e=*] - - show that dy cosh a. da
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
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![11:04 AM O
80
sheet2.pdf
PROBLEM SHEET 5
2.1 Given that
sinh x =
- e-*
show that
dy
= cosh x.
dx
2.2 Given that
1
+e-"],
2
cosh r
show that
dy
= sinh x.
dx
2.3 Let n be a positive integer. Show that
d" (r")
= n!
drn
2.4 If y = In x, show that
dy
1
d'y
d100
-1
dx
da?
x2
dr10
2.5 Find the equation of the tangent to the curve
= x? at (
2.6 Find the slope of the curve y = 4.x + e at (0, 1).
2.7 Find the angle of inclination of the tangent to the curve
2.8 The displacement y(t) metres of a body at time t seconds
what times is the body at rest?
2.9 A particle has displacement y(t) metres at time t seconds
acceleration at time t = 4 seconds.
2.10 If
N
Σ
y =
anx"
n=0
show that
dy
nana"-1
da
n=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec2cad39-6e7a-4ece-a6ad-23bff1a241bd%2F0ac7e9dc-f37d-4a4b-99b7-9d67c879876f%2Fsluqtb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11:04 AM O
80
sheet2.pdf
PROBLEM SHEET 5
2.1 Given that
sinh x =
- e-*
show that
dy
= cosh x.
dx
2.2 Given that
1
+e-"],
2
cosh r
show that
dy
= sinh x.
dx
2.3 Let n be a positive integer. Show that
d" (r")
= n!
drn
2.4 If y = In x, show that
dy
1
d'y
d100
-1
dx
da?
x2
dr10
2.5 Find the equation of the tangent to the curve
= x? at (
2.6 Find the slope of the curve y = 4.x + e at (0, 1).
2.7 Find the angle of inclination of the tangent to the curve
2.8 The displacement y(t) metres of a body at time t seconds
what times is the body at rest?
2.9 A particle has displacement y(t) metres at time t seconds
acceleration at time t = 4 seconds.
2.10 If
N
Σ
y =
anx"
n=0
show that
dy
nana"-1
da
n=1
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