AB3: For 1 ≤ x ≤ 2, the function y = f(x) satisfies the differential equation d²y dx² Find when x = 1. dy dx --(10-y).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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AB3 only

(-3, 4),
A = 7
AL
1
A=4
The function g is defined by g(x) = f* f(t)}dt.
-2
A = 5
A = 7
Find
AB2: It is known that f(x) = {a[(x - 1)² - 3] 0≤x≤ 0.5'
ex+1
-1 ≤x≤0
AB4: Evaluate
when x = 1.
X
Lef(x) f'(x)dx.
४
به است
-2
0
AB3: For 1 ≤ x ≤ 2, the function y = f(x) satisfies the differential equation
d²y
dx²
1
=1-e4
3
f(x)
The function f is twice differentiable for all real values of x. A portion of the graph of the function f is
shown in the figure above along with selected values for f and f', the derivative of f. The areas of the
regions bounded by the graph off and the x axis are given in the figure above.
1
e
AB1: Use the data in the table to estimate f"(-1). Show the calculations that lead to your answer.
e+4
ƒ" (1)
2
4
dy
dx
2
f'(x)
-4
a=
e
, where a is a constant. Find the value of a.
-2
e
3
(10-y).
Transcribed Image Text:(-3, 4), A = 7 AL 1 A=4 The function g is defined by g(x) = f* f(t)}dt. -2 A = 5 A = 7 Find AB2: It is known that f(x) = {a[(x - 1)² - 3] 0≤x≤ 0.5' ex+1 -1 ≤x≤0 AB4: Evaluate when x = 1. X Lef(x) f'(x)dx. ४ به است -2 0 AB3: For 1 ≤ x ≤ 2, the function y = f(x) satisfies the differential equation d²y dx² 1 =1-e4 3 f(x) The function f is twice differentiable for all real values of x. A portion of the graph of the function f is shown in the figure above along with selected values for f and f', the derivative of f. The areas of the regions bounded by the graph off and the x axis are given in the figure above. 1 e AB1: Use the data in the table to estimate f"(-1). Show the calculations that lead to your answer. e+4 ƒ" (1) 2 4 dy dx 2 f'(x) -4 a= e , where a is a constant. Find the value of a. -2 e 3 (10-y).
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