Q1: evaluate the following integrations: 1. sec (In(x)) dr Q2: Derive the following functions sin2x 1. f(x) sec?x 2. S etan(2x) sec2 (2x)dx 2. f(x) = x'ex? 3. dx 1 1+x2 4. Sx sec'xdx secx 3. f(x) = 5. S sin?x cosxdx 1+tanx? 6. Sx tanx?dx 4. Let y = 2 cos(x) ;x 2 tan(2t) cos(nt) dt sin? (nt) find dy dt 7. fn Q3: For the following function f (t) (t- 2t + 1)3 1. Find the derivative of f (t) 2. What is the slope of the tangent of f (t) at the point t= 2 3. Is the function f(t) increasing or decreasing at the point t = 1 4. Find all slop points of f (t)
Q1: evaluate the following integrations: 1. sec (In(x)) dr Q2: Derive the following functions sin2x 1. f(x) sec?x 2. S etan(2x) sec2 (2x)dx 2. f(x) = x'ex? 3. dx 1 1+x2 4. Sx sec'xdx secx 3. f(x) = 5. S sin?x cosxdx 1+tanx? 6. Sx tanx?dx 4. Let y = 2 cos(x) ;x 2 tan(2t) cos(nt) dt sin? (nt) find dy dt 7. fn Q3: For the following function f (t) (t- 2t + 1)3 1. Find the derivative of f (t) 2. What is the slope of the tangent of f (t) at the point t= 2 3. Is the function f(t) increasing or decreasing at the point t = 1 4. Find all slop points of f (t)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q;: evaluate the following integrations: sec(in() 3. [ T dx 2. f et ec2(2x)dx 3. & x+x‘ dx 4. [ x sec’xdx 5. [ sin?x cosxdx 6. [ x tanx?dx T costet) 2 ff Sty & Q;: Derive the following functions 1 fl) =22 sec?x SR =R 3 Fl) === | +tanx? 4. Lety =2cos(x) ;x = 2tan(2t) ay find 2 Add file (U] eTaglid Qs: For the following function £(¢) = (& — 2¢ + 1)* 1. Find the derivative of f(£) 2. What s the slope of the tangent of £ (£) atthe point t = 2 3. Isthe function f (t) increasing or decreasing at the point t = 1 4. Find all slop points of £ (t) Clear form lver submit passwords through Google Forms.
Transcribed Image Text:Q2: Derive the following functions
Q1: evaluate the following
integrations:
sin2x
1. sec(In(x))
1. f(x) =
sec?x
2. Setan(2x) sec2 (2x)dx
2. f(x) = x?e*?
3. S.
1 1+x2
4. Sx sec?xdx
secx
3. f(x) =
%3D
5. S sin?x cosxdx
1+tanx?
6. Sx tanx?dx
4. Let y = 2 cos(x) ;x 2 tan(2t)
cos(nt)
dt
sin? (nt)
dy
find
dt
7. fr
Q3: For the following function f (t) = ( - 2t + 1)
1. Find the derivative of f(t)
2. What is the slope of the tangent of f (t) at the point t = 2
3. Is the function f (t) increasing or decreasing at the point t 1
4. Find all slop points of f (t)
%3D
1 Add file
Submit
Clear form
lever submit passwords through Google Forms.
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