Consider the standard form of a linear equation A x + B y = C in the case where B ≠ 0 . a. Write the equation in slope-intercept form. b. Identify the slope in terms of the coefficients A and B . c. Identify the y -intercept in terms of the coefficients B and C .
Consider the standard form of a linear equation A x + B y = C in the case where B ≠ 0 . a. Write the equation in slope-intercept form. b. Identify the slope in terms of the coefficients A and B . c. Identify the y -intercept in terms of the coefficients B and C .
Solution Summary: The author explains the slope-intercept of the equation of a line, Ax+By=C, where Bne 0 are real numbers with m
Draw the unit circle and plot the point P=(8,2). Observe there are TWO lines tangent to the circle passing through the point P. Answer the questions below with 3 decimal places of accuracy.
P
L1
L
(a) The line L₁ is tangent to the unit circle at the point
(b) The tangent line L₁ has equation:
X +
(c) The line L₂ is tangent to the unit circle at the point (
(d) The tangent line 42 has equation:
y=
x +
).
What is a solution to a differential equation? We said that a differential equation is an equation that
describes the derivative, or derivatives, of a function that is unknown to us. By a solution to a differential
equation, we mean simply a function that satisfies this description.
2. Here is a differential equation which describes an unknown position function s(t):
ds
dt
318
4t+1,
ds
(a) To check that s(t) = 2t2 + t is a solution to this differential equation, calculate
you really do get 4t +1.
and check that
dt'
(b) Is s(t) = 2t2 +++ 4 also a solution to this differential equation?
(c) Is s(t)=2t2 + 3t also a solution to this differential equation?
ds
1
dt
(d) To find all possible solutions, start with the differential equation = 4t + 1, then move dt to the
right side of the equation by multiplying, and then integrate both sides. What do you get?
(e) Does this differential equation have a unique solution, or an infinite family of solutions?
Ministry of Higher Education &
Scientific Research
Babylon University
College of Engineering -
Al musayab
Automobile Department
Subject :Engineering Analysis
Time: 2 hour
Date:27-11-2022
کورس اول تحليلات
تعمیر )
1st month exam / 1st semester (2022-2023)/11/27
Note: Answer all questions,all questions have same degree.
Q1/: Find the following for three only.
1-
4s
C-1
(+2-3)2 (219) 3.0 (6+1)) (+3+5)
(82+28-3),2-
,3-
2-1
4-
Q2/:Determine the Laplace transform of the function t sint.
Q3/: Find the Laplace transform of
1,
0≤t<2,
-2t+1,
2≤t<3,
f(t) =
3t,
t-1,
3≤t 5,
t≥ 5
Q4: Find the Fourier series corresponding to the function
0
-5
Elementary Statistics: Picturing the World (7th Edition)
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