Sketch the following function: g(x) = |3x + 21

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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1. Sketch the following function:
g(x) = |3x + 21
2. The following is of the form y =
2
4
6
3.4 19.2 52.9
4. Solve the following for x
X
y
Find both a and b and state the equation which models this data.
3. Find the general solution to the following:
axb
10
8
108.6 189.7
sin (2x)
5. Rewrite the following in partial fraction form:
7. Convert the following to Cartesian form
9. Calculate the following
11. Find
3 e
if Z = ex³+y²
a) C = 2
-4t Cos
t
-
6. Calculate the following, where Z₁ = 1-j, Z₂ = 6+2j, Z3 = -1-3j
Z₁ + Z3
Z2
TT
√3
2
J
Z = 343
8. Find the gradient of the following functions when t = 2.3
e2t sint
2t
3
= 0
0≤x≤ 2T.
5 - 3x
(x - 3)²(x + 2)
t+1
b) C = +¹.sin (2t)
10. Find the area bounded by the curve x² - 4x, the x axis and the lines x = -2 and x = 4.
a²z
əxəy
((3-4x) sin(x)) dx
Transcribed Image Text:1. Sketch the following function: g(x) = |3x + 21 2. The following is of the form y = 2 4 6 3.4 19.2 52.9 4. Solve the following for x X y Find both a and b and state the equation which models this data. 3. Find the general solution to the following: axb 10 8 108.6 189.7 sin (2x) 5. Rewrite the following in partial fraction form: 7. Convert the following to Cartesian form 9. Calculate the following 11. Find 3 e if Z = ex³+y² a) C = 2 -4t Cos t - 6. Calculate the following, where Z₁ = 1-j, Z₂ = 6+2j, Z3 = -1-3j Z₁ + Z3 Z2 TT √3 2 J Z = 343 8. Find the gradient of the following functions when t = 2.3 e2t sint 2t 3 = 0 0≤x≤ 2T. 5 - 3x (x - 3)²(x + 2) t+1 b) C = +¹.sin (2t) 10. Find the area bounded by the curve x² - 4x, the x axis and the lines x = -2 and x = 4. a²z əxəy ((3-4x) sin(x)) dx
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